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Flowchart

A flowchart is a graphical representation of the definition, analysis, or method of solution of a problem in which symbols are used to represent operations, , , equipment, and other elements, with lines connecting the symbols to illustrate the sequence and relationships. These diagrams visually depict stages of a process, , computer , or system, employing shapes such as ovals for terminals, rectangles for processes, and diamonds for decisions, connected by arrows to show directional and decision points. Flowcharts are widely utilized across fields like , , and to document, analyze, plan, and optimize procedures, reducing ambiguity and facilitating communication among stakeholders. The origins of flowcharts trace back to the early 20th century in , where Frank and Lillian Gilbreth introduced the concept of the in 1921 to the (ASME) as a tool for optimizing workflows and eliminating inefficiencies in . This foundational work evolved through further refinements by engineers, leading to ASME's standardization of flowchart symbols in 1947. By the late 1940s, flowcharts gained prominence in computing when and adapted them in 1947 to represent algorithms for early electronic computers, positioning them as essential blueprints for programming and problem-solving in the emerging field of . In the mid-20th century, flowcharts became integral to , serving multiple roles: as design aids for translating complex logic into structured code, communication tools bridging analysts and programmers, and documentation methods for post-implementation review. Standardization efforts advanced with the American Standards Association's 1963 conventions and the (ANSI)'s conventions published in 1965, with formal standard X3.5 approved in 1970, which were later adopted internationally by the (ISO), adopting similar conventions in 1973 and publishing ISO 5807 in 1985. These standards defined core symbols for data (e.g., parallelograms for ), processes (e.g., rectangles for operations), and (e.g., arrows for direction), ensuring interoperability in information processing documentation across industries. While flowcharts peaked in popularity during the and for algorithmic representation, their use declined in the late 1970s with the rise of paradigms and interactive terminals, which favored textual over visual diagrams. Modern evolutions include integrations with tools like (UML) activity diagrams from the 1990s and Business Process Model and Notation (BPMN) codified in 2005 by the Business Process Management Initiative, extending flowchart principles to more sophisticated digital process modeling. Today, flowcharts remain a foundational tool in , as endorsed by organizations like the , for mapping processes sequentially to identify bottlenecks and improve efficiency.

Fundamentals

Definition

A flowchart is a that visually represents a , , or by depicting a sequence of operations through interconnected standardized shapes, with arrows indicating the direction of flow. This structured visualization allows for the clear illustration of how individual steps relate to one another in achieving a specific outcome. The primary purposes of flowcharts include visualizing algorithms, workflows, decision-making processes, and system operations to simplify the comprehension of complex procedures and enhance communication among stakeholders. By breaking down intricate sequences into digestible components, they facilitate problem-solving, process improvement, and the identification of inefficiencies or bottlenecks. Key characteristics of flowcharts encompass sequential or branched paths that emphasize logical progression over aesthetic elements, enabling their broad applicability in disciplines such as , , and . Flowcharts differ from related visuals in their focus on step-by-step process flows; in contrast, mind maps organize information hierarchically around a central in a radial, non-linear manner, while entity-relationship diagrams model static structures and their interconnections rather than dynamic operations.

Basic Elements

Flowcharts consist of fundamental structural components that ensure clarity and logical progression in representing processes. Central to these are arrows, or flow lines, which serve as connectors indicating the sequence and direction of operations or movement between elements. Straight arrows typically denote sequential flow, while branching arrows from decision points represent alternative paths based on conditions, adhering to conventions that maintain unambiguous progression. Entry and exit points bookend the diagram using terminal symbols, such as ovals, to mark the initiation and conclusion of the process, providing clear boundaries for the . These terminators ensure that every has defined starting and ending points, facilitating comprehension of the overall scope. Connectors, often circular symbols with identifiers like letters or numbers, link discontinuous sections of the , such as across pages, without altering the primary flow. Standard flow direction conventions mimic natural reading patterns, progressing from top to bottom or left to right, with arrowheads clarifying the path and open arrowheads indicating reverse flow when necessary. This orientation enhances readability by aligning with conventional text layout, though bidirectional flows may use double lines with appropriate arrowheads. Basic layout principles emphasize a logical sequence that avoids unintentional loops, ensuring each step leads coherently to the next while minimizing crossovers and maintaining consistent spacing between elements. To prevent clutter, diagrams incorporate adequate white space, hierarchical organization for complex flows, and synchronization lines for parallel processes, all of which promote readability without compromising the diagram's integrity. While shapes like rectangles denote processes, the focus remains on these connective and directional structures to support effective visualization.

History

Origins

The origins of flowcharts trace back to the early within the framework of , where efforts to optimize industrial workflows laid the groundwork for graphical representations of processes. Frederick Winslow Taylor's principles of , outlined in his work, emphasized systematic analysis of work tasks to enhance efficiency, influencing subsequent developments in process documentation during the 1910s. These ideas evolved into more visual tools as industrial engineers sought ways to break down and improve operations beyond mere time studies. A pivotal advancement came in 1921 when industrial engineers and introduced process charts as a method for motion study in manufacturing. In their presentation to the titled "Process Charts: First Steps of Finding the One Best Way to Do Work," the Gilbreths proposed using standardized symbols to depict worker tasks, operations, inspections, transports, and delays, enabling a clear of workflows to identify inefficiencies. This innovation built directly on Taylor's by shifting focus to motion economy, allowing engineers to map and refine physical movements in industrial settings. Central to the Gilbreths' approach was their "Therbligs" system, developed around 1915 and integrated into the 1921 process charts, which divided human motions into 18 fundamental elements such as search, grasp, and transport empty. These elemental breakdowns served as precursors to modern flowchart symbols, providing a granular, symbolic language for analyzing and optimizing repetitive tasks in and work. By representing processes graphically, Therbligs facilitated the elimination of unnecessary motions, marking an early step toward structured diagramming. Flowcharts gained further traction in quality control during the mid-20th century, notably through Kaoru Ishikawa's integration of process flow diagrams into his in the . Ishikawa, a professor, promoted these tools—including flowcharts—for problem-solving in , adapting earlier industrial charting techniques to emphasize defect prevention and process . This adoption solidified flowcharts as essential for visualizing and improving operational sequences in contexts.

Evolution

In the mid-20th century, flowcharts were adapted for use in electronic computing, notably by mathematicians and in 1947. While working on programming the computer and planning algorithms for the successor at for Advanced Study, they introduced flow diagrams as a graphical notation to represent computational processes, enabling systematic planning and coding of problems for electronic instruments. This approach formalized the breakdown of mathematical problems into sequential steps, using symbols for operations, decisions, and data flows, which facilitated communication between mathematicians and machine operators. Standardization efforts followed to ensure consistency in programming . In 1963, the (ANSI) proposed a set of flowchart symbols for information processing, which was formalized as ANSI X3.5 in 1970, defining shapes for processes, decisions, inputs/outputs, and connectors to support structured representation of algorithms. Internationally, the (ISO) published ISO 1028 in 1973, establishing graphical symbols for flowcharts in information processing systems, aligning closely with ANSI standards to promote in . These standards emphasized clarity and universality, becoming essential for documenting control flows in early programming practices. By the and , the use of flowcharts in declined significantly, driven by the advent of high-level programming languages that incorporated structured constructs like loops and conditionals, reducing the reliance on manual diagramming for design. The shift toward , critiqued earlier by Edsger Dijkstra in 1968 for issues like unrestricted statements, further diminished flowcharts' role, as languages such as Pascal and encouraged linear, hierarchical code over detailed graphical planning. This evolution prioritized code readability and maintainability, rendering traditional flowcharts less practical for complex systems. Flowcharts experienced a resurgence in the 2000s, integrated into agile and visual methodologies that emphasized iterative and collaboration in . Digital tools enabled rapid creation and sharing of diagrams for analysis, while evolutions like UML activity diagrams and BPMN built on flowchart principles for visualization. In the , ISO revisions in standards, such as updates to ISO/IEC 12207 (2008 and 2017) for system and software processes, incorporated diagrammatic representations to support and process documentation, adapting flowcharts to modern engineering needs.

Symbols and Standards

Standard Symbols

Standard symbols in flowcharts are defined by the ISO 5807:1985, which specifies shapes and conventions for documentation in information processing, including , program, and system flowcharts. These symbols provide a consistent notation for representing , decisions, flows, and other elements, ensuring clarity and across diagrams. The standard emphasizes simplicity, with symbols designed for manual or automated creation, and includes rules for their application to avoid ambiguity. Flowcharts typically begin and end with or symbols to define , without a dedicated shape. The process symbol, a rectangle, represents any computational or operational step that transforms data, such as calculations or assignments, and contains a brief description of the action performed. Decision points are indicated by a shape, which has one and multiple exit paths branching based on conditional logic, such as yes/no outcomes; conditions are written adjacent to the exits, but no other text appears inside the diamond itself. Input and output operations use a circle to signify unspecified exchange with external sources or destinations, like reading from a or displaying results, with the direction of clarified by connecting lines. Specialized symbols (e.g., for types) use variations on the circle shape. Connectors, often small circles or dots, facilitate by linking distant parts of a , such as off-page references or modular sections, and are labeled with matching identifiers (e.g., A to A) to avoid cluttered lines. Loop limits use two-part circles with identifiers. The full set of symbols in ISO 5807:1985 encompasses , , and line elements, as summarized below. Usage rules include ensuring symbols connect via symbols in flow diagrams, directing flow with arrowheads only when necessary for clarity, and pairing loop limits with identical identifiers for matching begin/end points. Note that ISO 5807:1985 remains the current , last reviewed in 2019, though many modern tools favor earlier ANSI conventions with ovals for terminals and parallelograms for .
CategorySymbol ShapeNameMeaning and Usage
ProcessAny or ; describe inside.
Process with double vertical linesPredefined Subroutine or call; reference name externally.
Process (wider at bottom)Manual Human-performed task; specify manual aspect.
ProcessPreparationInitialization or setup, like parameter adjustment.
ProcessDecisionConditional ; one entry, multiple labeled exits.
ProcessHorizontal bar with vertical linesParallel ModeSynchronization point for concurrent flows.
ProcessTwo-part with identifierLoop LimitMarks loop start/end; match identifiers.
DataBasic DataUnspecified input/output; indicate flow direction.
Data with horizontal lineStored DataPersistent storage, medium unspecified.
Data with two horizontal linesInternal StorageData in memory or registers.
Data with one curved sideSequential Access StorageLinear access , e.g., tape.
Data with two curved sidesDirect Access StorageRandom access , e.g., disk.
Data with folded cornerHuman-readable output, e.g., printout.
Data (wider at top)Manual InputUser-entered , e.g., via forms.
Data with notched edgeCardPunched or card input.
Data with holesTape-based .
Data with curved topDisplayVisual output, e.g., screen.
LineStraight line (optional )Flow LineConnects symbols; s show if needed.
LineDotted line with Control TransferUnconditional , e.g., .
LineJagged lineCommunication LinkOff-system transfer.
LineDashed lineAnnotation or AlternativeEncloses notes or indicates optional paths.
ConnectorSmall or dotConnectorLinks diagram sections; label for matching.

Specialized Symbols

In addition to the standard symbols defined by ANSI and ISO, flowcharts incorporate specialized symbols to represent domain-specific operations, particularly in data processing, manual interventions, and complex diagramming needs. These extensions build on foundational notation to address nuances in information handling and flow continuity. For instance, the document symbol, depicted as a rectangle with a top-right corner cut off, represents input/output functions involving printed documents or reports, such as generating a form or record. Similarly, the manual operation symbol, shown as a trapezoid (wider at top), denotes offline processes performed by hand without automated assistance, like sorting papers or entering data manually. Delays are represented using the terminal symbol (oval in ANSI conventions). For data persistence, the database storage symbol—typically a cylinder—illustrates online storage media like disks or tapes where data is archived or retrieved in data flowcharts. Specialized symbols also facilitate data organization in and contexts. The collate symbol, rendered as a , signifies the merging, matching, or extracting of multiple inputs into ordered sets, commonly used in administrative workflows to combine reports. The sort symbol, depicted as a with extended sides, represents arranging items into a specific sequence, such as alphabetizing files or prioritizing tasks. These symbols enhance clarity in flowcharts depicting repetitive or integrative operations. To manage complexity in large diagrams, off-page connectors serve as navigational aids. These are circular shapes labeled with letters or numbers, linking elements across multiple pages; for example, an "A" on one page connects to a matching "A" on another, ensuring seamless continuity without cluttering a single view. Domain-specific extensions further adapt flowchart notation for specialized applications. In , the visual language introduces rules to improve readability and reduce errors in algorithmic representations, such as using curved arrows in loops to avoid right angles and prohibiting line intersections, with branches ordered left-to-right by temporal sequence along a central "skewer" line. These conventions, developed for Soviet space programs like Buran, ensure diagrams mimic natural reading patterns while expressing any algorithm without ambiguity. For , BPMN gateways extend traditional decision diamonds with typed variants: exclusive gateways (marked "X") route to one path based on conditions; parallel gateways ("+") split or join multiple flows simultaneously; inclusive gateways ("O") allow subsets of paths; event-based gateways (circled) defer to the first triggered event; and complex gateways ("*") handle custom rules like n-of-m synchronization. These elements, standardized by the , enable precise modeling of conditional, concurrent, and event-driven business logic beyond basic flowchart capabilities.

Types of Flowcharts

Process Flowcharts

Process flowcharts are diagrams that map the activities involved in a sequential or operational , visually representing the step-by-step progression of tasks to achieve a specific outcome. These diagrams emphasize the flow of activities within a , often arranged horizontally to accommodate cross-functional teams through the use of swimlanes, which delineate responsibilities across departments or roles. This structure facilitates a clear depiction of how inputs transform into outputs in operational contexts, such as production lines or protocols. Key features of process flowcharts include linear sequences of activities connected by arrows to indicate direction and , interspersed with decision branches—typically represented by diamond shapes—to account for conditional paths or exceptions in the . These elements enable detailed analysis of process efficiency, making process flowcharts particularly valuable in for assembly line optimization and in for streamlining customer interactions. Unlike more abstract diagrams, they prioritize the tangible sequence of human and procedural actions, helping teams visualize handoffs and dependencies without delving into data structures or logic. A representative example is the process in , where the flowchart begins with receiving a , followed by verification, item picking and packing, quality checks, and final shipping to delivery. Decision points might include branches for out-of-stock scenarios, looping back to or notifying the of delays, while error-handling loops address issues like damaged goods returned for rework. This highlights the end-to-end from to , using standard symbols like rectangles for action steps to maintain clarity. The primary advantages of process flowcharts lie in their capacity to reveal bottlenecks, such as delays at handoff points between teams, thereby supporting targeted interventions to reduce cycle times and enhance overall . By the current state of a , they promote and continuous improvement in operational environments. However, a notable limitation is their tendency to oversimplify factors, such as interpersonal communications or adaptive , which can lead to incomplete representations that ignore informal processes or cultural influences within teams.

Data and System Flowcharts

Data flow diagrams (DFDs), a specialized type of flowchart, depict the movement and transformation of data across processes, external entities, and data stores within a , highlighting how is input, manipulated, and output. These diagrams use notations such as the Yourdon-DeMarco approach, originally developed for in the late 1970s, where circles represent data-processing functions that receive inputs, perform transformations, and produce outputs, while open-ended rectangles denote data stores and arrows illustrate data flows between components. DFDs focus on logical data dependencies in information systems rather than physical or strict procedural sequences. In , external entities—such as users or other systems—are typically shown as squares or rectangles to indicate sources or destinations of , ensuring the diagram captures the complete lifecycle of from entry to final utilization. For instance, parallelograms may be employed to represent operations in data-centric contexts, bridging user interactions with internal processing. Unlike general flowcharts that emphasize with decisions and sequences, prioritize parallel data paths and transformations without built-in decision elements. System flowcharts, in contrast, offer a high-level view of and software interactions, mapping out system architecture including components like central processing units (CPUs), devices, and interfaces to illustrate control and data pathways. Standardized symbols from early computing guidelines, such as those in ANSI X3.5-1970, include rectangles for online under CPU control, cylinders for magnetic disks representing persistent , and flowlines to connect these elements, demonstrating how operations sequence across the system. These diagrams are particularly valuable for documenting complex environments where software routines interface with , using predefined process symbols for subroutines and communication links for data transmission between modules. A representative example is a database query system flowchart, where user-submitted queries (via manual input symbol) flow to a CPU for processing, triggering retrieval from a magnetic disk data store, followed by software transformation of the raw data into formatted reports output through a display interface; this visualization reveals bottlenecks in data retrieval or hardware dependencies.
Symbol TypeDescriptionExample Usage in System Flowcharts
Online StorageRectangle representing storage accessible by CPUBuffering query results before processing
Magnetic Disk for persistent data I/OStoring and retrieving database records
Predefined ProcessDouble-sided rectangle for software routinesExecuting query logic or
Manual Input for user-entered Accepting database search parameters
Flowline indicating direction and sequenceConnecting retrieval to software output

Program Flowcharts

Program flowcharts provide a visual representation of the sequential steps in a program's execution, emphasizing the logical of control through algorithms in . These diagrams depict , iterative loops, conditional branches, and subroutine calls using standardized symbols such as ovals for start/end points, rectangles for processes, and diamonds for decisions. Originating from early computational planning efforts, program flowcharts evolved to model imperative structures, enabling developers to outline logic before implementation. In visualizing , program flowcharts map control structures like statements with diamond-shaped decision nodes that branch based on conditions, leading to parallel paths that converge after execution. Loops are represented by arrows returning to decision points until exit criteria are met, while subroutines appear as modular off-page connectors or predefined blocks to promote code reusability. A structured variant, the Nassi-Shneiderman diagram, restricts representations to hierarchical boxes without arrows, enforcing disciplined programming by avoiding unstructured jumps like statements; developed in 1972, it uses nested regions for sequences, selections, and iterations to mirror block-based languages. For instance, a program flowchart for the bubble sort algorithm begins with an initialization of the and outer , followed by nested inner loops: a checks if elements are out of , triggering a swap in a rectangular if true, with the repeating until no swaps occur, ensuring the is sorted in ascending . This depiction highlights comparison-based decisions and iterative swaps, aiding in and optimization of the O(n²) . In , particularly for quantum and low-power applications, program flowcharts incorporate backward-compatible paths to ensure computations can be undone without information loss, modeling bijective functions where each step is invertible. These reversible flowcharts extend traditional structures by pairing forward operations with their inverses, such as using guarded swaps in quantum circuits, to maintain in both directions and support applications like quantum .

Creation and Tools

Manual Creation

Manual creation of flowcharts refers to the traditional hand-drawn methods used to visualize processes, predating digital tools and emphasizing tactile, iterative design on physical media. These early charts were sketched freehand to identify inefficiencies, marking a foundational shift toward graphical process representation in engineering. The process typically begins with brainstorming the workflow, where creators outline key steps, decisions, and sequences in a narrative or bullet-point form to capture the essence of the process without initial visual constraints. This is followed by sketching rough outlines on plain or graph paper, using basic shapes like circles for decisions and rectangles for actions to map the high-level flow and identify logical branches. Refining the draft involves tracing precise standard symbols onto the paper for uniformity and clarity, often iterating through multiple versions to resolve ambiguities. Essential tools for manual creation include for maintaining alignment and scale, mechanical pencils or fine-tip pens for precise lines and erasures, and specialized flowchart templates—thin sheets of clear plastic with cutout shapes corresponding to standard symbols, introduced around 1955 by companies like and later standardized by ANSI. These templates, often accompanied by explanatory envelopes, allowed users to trace symbols accurately onto drafting paper, with historical setups employing drafting tables for stability during extended drawing sessions on larger sheets. Best practices emphasize starting with simple, linear sketches to prioritize logical flow before adding complexity, iterating drafts to enhance readability by minimizing crossings and ensuring consistent symbol sizing, and validating the diagram through walkthroughs—manually tracing paths to simulate the process and detect errors like infinite loops. For symbol rendering, adherence to standards such as ensures compatibility, with ovals denoting terminals and parallelograms for data inputs. Manual creation offers advantages like low cost, relying solely on inexpensive supplies such as paper and pencils without needing specialized equipment, and fostering tactile understanding that deepens comprehension of process interdependencies through physical manipulation. However, it is time-intensive, particularly for revisions, as alterations often require redrawing entire sections, limiting scalability for complex or frequently updated diagrams.

Diagramming Software

Diagramming software facilitates the creation of flowcharts by providing digital tools for drawing, connecting shapes, and automating layouts, often incorporating libraries of standard symbols such as ovals for start/end points and rectangles for processes. These tools range from traditional desktop applications to cloud-based platforms, enabling users to visualize processes efficiently without manual drafting. Traditional desktop tools like have been staples for vector-based flowchart creation since their introduction, offering templates for basic flowcharts, process diagrams, and integration with for data-linked visuals. Open-source alternatives include , a program for structured diagrams including flowcharts, supporting exports to formats like , , and , and customizable shapes for various types. alternatives include Graph Editor, which provides automatic layout algorithms tailored for flowcharts, such as hierarchical arrangements with user-defined branch directions, making it suitable for complex without requiring manual positioning. Modern cloud-based options emphasize collaboration and accessibility. , founded in 2010, supports real-time collaborative editing where multiple users can simultaneously modify flowcharts, with features like commenting, sharing, and integration with tools such as . , established in 2011 as RealtimeBoard, enables real-time team flowcharting on infinite canvases, incorporating drag-and-drop shapes and templates for process mapping in distributed environments. (now ), when integrated with , allows embedding editable flowcharts directly into pages, supporting real-time collaboration and version history within team wikis. For educational purposes, tools like focus on turning visual flowcharts into executable code, allowing users to design algorithms graphically and export them to over 18 programming languages including C++, , and , which aids in teaching programming logic without syntax barriers. Emerging features in diagramming software include AI-assisted auto-generation and integrations. Starting in 2023 and enhanced through 2024, has introduced AI capabilities such as prompt-based diagram generation, where users input text descriptions to automatically create and iterate on flowcharts, alongside summarization of collaborative sessions and features like diagram as code. Additionally, tools like draw.io support integration with for , enabling diagrams stored as XML files to be tracked, branched, and merged alongside code repositories.

Applications

Business and Engineering

In business contexts, flowcharts serve as essential tools within frameworks for process mapping, enabling organizations to visualize workflows and pinpoint inefficiencies such as excess inventory or redundant steps. , a specific application of flowcharts, documents material and information flows across an entire process to identify and eliminate waste, thereby streamlining operations and enhancing value delivery to customers. This approach, rooted in lean principles, supports continuous improvement by highlighting non-value-adding activities and facilitating targeted interventions to boost productivity. A seminal case study is the (), pioneered in the 1950s by and others, which integrated flowcharts into just-in-time manufacturing to synchronize production with demand and minimize waste. By using process flowcharts to map sequences and supplier interactions, TPS achieved dramatic reductions in levels and lead times, setting a benchmark for global manufacturing efficiency that influenced practices worldwide. For instance, maps in TPS helped visualize bottlenecks, allowing for real-time adjustments that reduced production cycle times in early implementations. In disciplines, flowcharts are employed during requirements gathering to delineate functionalities and dependencies, ensuring comprehensive coverage of operational needs from inception. They provide a sequential representation of processes, aiding multidisciplinary teams in aligning technical specifications with project goals. Additionally, in safety protocol development, utilizes flowchart-like diagrams to deduce potential failure paths from top-level hazards, quantifying risks through logical branching to inform robust engineering safeguards. The adoption of flowcharts in these fields yields key benefits, including the standardization of procedures that simplifies training and compliance auditing, as well as measurable reductions in cycle times by eliminating unnecessary steps. These tools promote a shared understanding among stakeholders, fostering and enabling scalable improvements without overhauling entire systems.

Computing and Education

In computing, flowcharts serve as a visual intermediary for translating into actual program code and facilitating by mapping control flows and explicitly. This approach enhances and readability, allowing programmers to trace execution paths and identify logical errors before implementation. In the context of paradigms, flowcharts proved instrumental in promoting disciplined control structures—such as sequence, selection, and iteration—over unstructured jumps like the statement, a practice critiqued by in his seminal 1968 letter, which argued that such primitives led to unmanageable code complexity and advocated for hierarchical, structured designs. In education, flowcharts are widely employed to teach programming logic and algorithmic thinking to beginners, providing a graphical representation that demystifies abstract concepts without the syntax barriers of real code. Tools like , a free graphical programming environment, enable students to construct and execute flowcharts that automatically generate code in multiple languages, making it particularly effective for introductory curricula at the K-12 level by emphasizing visual problem-solving over textual coding. This method aligns with pedagogical principles that prioritize flowchart-based instruction to build foundational skills in algorithm design, as outlined in on novice programmers. A representative example in introductory algorithms courses involves using flowcharts to visualize the , where a sorted is repeatedly halved based on comparisons to a target value at the midpoint, with decision diamonds representing conditions like "target found" or "search left/right half" to illustrate iterative refinement efficiently. Such visualizations help learners grasp the logarithmic and conditional branching inherent in search problems, reinforcing step-by-step execution without overwhelming details. In modern contexts, flowcharts play a key role in fostering among non-programmers by encouraging , , and —core elements of Jeannette Wing's 2006 , which positions these skills as essential for problem-solving across disciplines beyond traditional . This application extends flowcharts' utility in educational settings to promote broader literacy in algorithmic reasoning, applicable in fields like and .

Advanced Topics

Parallel Processing

In flowcharts, parallel processing is represented through specific notations that depict concurrent execution paths diverging from a common point and later converging. Branching for concurrency typically involves drawing multiple arrows emanating from a single process symbol or, briefly, a standard decision to initiate simultaneous flows, allowing of tasks that can proceed independently. This approach enables the depiction of multitasking scenarios where operations do not depend on strict sequencing. Synchronization symbols are essential for showing where parallel paths merge, ensuring all concurrent activities complete before proceeding. These are often illustrated as double transverse lines or bars perpendicular to the flow direction, known as parallel mode symbols in standard conventions. The parallel mode symbol specifically marks the start or end of two or more simultaneous operations, facilitating the representation of points in multitasking environments. For instance, ANSI extensions, as outlined in early information processing standards, incorporate these for handling concurrent flows. A representative example is a flowchart for a multi-threaded , such as a CPU scheduler managing multiple tasks. The begins with a symbol for thread initialization, followed by mode bars to fork into separate paths—one for each handling distinct computations like input and . Each path includes sequential steps within the , culminating in another set of bars as a join point where results synchronize before a final output . This structure highlights how resources like are accessed concurrently, common in systems requiring efficient parallelism. Representing in flowcharts presents challenges, particularly in visually handling race conditions, where unpredictable interleaving of concurrent threads can lead to inconsistent outcomes due to unsynchronized access to shared resources. Flowcharts' linear, deterministic nature makes it difficult to convey such timing-dependent nondeterminism without additional annotations or supplementary diagrams. These notations find applications in systems, such as for concurrent task scheduling, where precise ensures timely responses in environments like automotive controls or .

Modern Integrations

In the realm of object-oriented design, flowcharts have evolved into (UML) activity diagrams, which extend traditional flowchart notation to better support complex, concurrent behaviors in software systems. Adopted as a standard by the (OMG) in 1997, UML activity diagrams build on flowchart principles by incorporating elements like swimlanes for partitioning activities across objects, fork and join nodes for parallelism, and object flows to track data movement, making them particularly suited for modeling dynamic system interactions. Within agile methodologies, diagrams similar to flowcharts are used to visualize workflows and support iterative development. For instance, process flow diagrams can illustrate the sprint cycle, including stages like sprint planning, daily stand-ups, execution, review, and retrospectives, helping teams identify dependencies and bottlenecks. User story mapping employs visual structures, often diagram-like, to organize epics, , and tasks along a , facilitating and with user needs. In and , flowcharts are instrumental for delineating pipelines, where they outline sequential stages from data ingestion to model deployment. pipelines are commonly visualized using diagrams to illustrate components like , transformation, and evaluation, ensuring reproducible workflows in production environments. Similarly, decision trees in predictive modeling are visualized using flowchart structures to map branching logic for or tasks, with tools like Decision Forests providing built-in visualization capabilities as of the . Cloud-based and collaborative tools have integrated flowcharts into practices, allowing real-time updates and embedding within platforms like for seamless team coordination. In , add-ons such as draw. enable the creation and embedding of flowcharts directly into issues and boards, supporting pipelines by visualizing stages with live editing and . Recent developments as of November 2025 include AI-assisted diagramming features in these tools, where generative AI generates diagrams and smart templates, enhancing efficiency in dynamic, distributed environments.

References

  1. [1]
    [PDF] ISO 5807:1985 - iTeh Standards
    3.3 flowchart: Graphical representation of the definition, analysis, or method of solution of a problem in which symbols are used to represent operations, data, ...
  2. [2]
    What Is a Flowchart? | IBM
    The history of flowcharts​​ Industrial engineers Frank and Lillian Gilbreth first introduced the concept of flowcharts to the American Society of Mechanical ...
  3. [3]
  4. [4]
    [PDF] The Multiple Meanings of a Flowchart
    Aug 2, 2016 · This IBM flow charting tem- plate embodied the ISO and ANSI standards adopted in 1970. Page 12. 331. Flowcharts are to programmers as blueprints ...
  5. [5]
    [PDF] flowchart symbols and their usage in information processing
    Flowchart symbols represent the sequence of operations and the flow of data and paperwork in information processing.
  6. [6]
    [PDF] FlowLearn: Evaluating Large Vision-Language Models on Flowchart ...
    In this paper, a flowchart is defined as a diagram that outlines a sequence of operations using standardized symbols like rectangles for steps and arrows to ...
  7. [7]
    Flowchart | Digital Healthcare Research - AHRQ
    Flowcharts visually convey the the steps in a process. To show the steps in a process. To find one or multiple sources of a problem or identify potential areas ...Missing: purpose | Show results with:purpose<|separator|>
  8. [8]
    [PDF] Notes on Algorithms, Pseudocode, and Flowcharts
    Dec 29, 2010 · Characteristics of an Algorithm. ▫ Well-ordered: the steps are in a ... ▫ Flowcharts are drawn so flow generally goes from top to bottom.
  9. [9]
    [PDF] Essentials of Service Design and Innovation
    Jan 5, 2015 · Flowcharts, or “flow process charts,” date back to at least 1921, when Frank Gilbreth gave a presentation titled “Process. Charts—First Steps ...
  10. [10]
    Visually Organize Your Thoughts With Mind Maps
    Mar 17, 2014 · A mind map is similar to a flow chart, except that while flowcharts normally proceed in a linear top-to-bottom order, mind maps progress ...Missing: source | Show results with:source
  11. [11]
    Comparison of Diagramming Tools - UMSL
    Flowcharts show process logic, DFDs show data flow, Use Case diagrams show system interactions, Entity-Relationship diagrams focus on data, and State- ...
  12. [12]
    [PDF] Process Mapping: ISO 5807 Lecture b
    Mar 29, 2012 · Arrows represent the direction of the flow. •. A jagged line is used to denote data transfer by a telecommunications link. Arrows represent the ...
  13. [13]
    [PDF] Frederick Winslow Taylor, The Principles of Scientific Management
    Taylor, 1911. Frederick Winslow Taylor. The Principles of. SCIENTIFIC MANAGEMENT. 1910. Ch. 2: “The Principles of Scientific Management” excerpts. These new ...Missing: process charts
  14. [14]
    [PDF] Frank and Lillian Gilbreth and the Manufacture and Marketing of ...
    Gilbreth improved on the cyclegraph motion map by interrupting the flow of current so as to obtain, in the resulting sequence of flashes, a record of the time.Missing: origins | Show results with:origins
  15. [15]
    Process charts : Gilbreth, Frank Bunker, 1868-1924 - Internet Archive
    Aug 30, 2011 · Process charts ; Publication date: 1921 ; Topics: Industrial efficiency ; Publisher: [New York] ; Collection: library_of_congress; americana.
  16. [16]
    [PDF] Process Charts - The Gilbreths
    MECHANICAL ENGINEERS. 20 WEST THIRTY-NINTH STREET, NEW YORK. PROCESS CHARTS. BY. FRANK B. GILBRETH. MEM.AM.SOC.M.E.. AND. L. M. GILBRETH. Ω. To he presented at ...
  17. [17]
    Therbligs: The Keys to Simplifying Work - The Gilbreths
    In their writings from about 1915 through 1920, the Gilbreths begin to talk about 15 to 16 "motion cycles", but rarely named them all and didn't allude to any ...Missing: 1921 | Show results with:1921
  18. [18]
    7 Quality Tools | International Lean Six Sigma Institute
    These 7 basic Quality tools were suggested by Kaoru Ishikawa, a professor of engineering at Tokyo University in the 1960s and 1970s and the inventor of ...
  19. [19]
    [PDF] Seven Basic Tools of Quality Control - eScholarship
    Jan 3, 2017 · These seven basic quality control tools, which introduced by Dr. Ishikawa, are : 1) Check sheets; 2) Graphs (Trend Analysis); 3) Histograms; 4) ...<|control11|><|separator|>
  20. [20]
    [PDF] Flow diagrams, assertions, and formal methods? - Mark Priestley
    Abstract. This paper examines the early history of the flow diagram notation developed by Herman Goldstine and John von Neumann in the mid-1940s.
  21. [21]
    Goldstine & von Neumann Write the First Theoretical Discussion of ...
    The first part of Herman Goldstine Offsite Link and John von Neumann's Offsite Link Planning and Coding Problems for an Electronic Computing Instrument ...Missing: flowchart ENIAC
  22. [22]
    ISO 1028:1973 - Information processing — Flowchart symbols
    Flowchart symbols · General information · Life cycle. Now. Withdrawn. ISO 1028:1973. Stage: 95.99. 00. Preliminary. 10.Missing: 1970s | Show results with:1970s
  23. [23]
    Flow Diagrams: Rise and Fall of the First Software Engineering ...
    Flow Diagrams: Rise and Fall of the First Software Engineering Notation. Conference paper. pp 130–144; Cite this conference paper. Download book PDF.
  24. [24]
    The Diagram of Flow: Its Departure from Software Engineering and ...
    The Diagram of Flow: Its Departure from Software Engineering and Its Return. Conference paper. pp 256–269; Cite this conference paper. Download book PDF.
  25. [25]
    [PDF] DRAKON.pdf
    Rule: going to the right is going forward in time. Following this rule ensures that the branch position in space reflects its position in time.Missing: symbols aerospace standard
  26. [26]
    None
    Below is a merged summary of Gateways in BPMN 2.0, consolidating all information from the provided segments into a comprehensive response. To retain maximum detail and ensure clarity, I will use a combination of narrative text and a table in CSV format for the types of gateways, capturing their descriptions, markers, and key references. The response avoids redundancy while preserving all unique details.
  27. [27]
    What is a Flowchart | Lucidchart
    A flowchart is a diagram that depicts a process, system or computer algorithm. They are widely used in multiple fields to document, study, plan, improve and ...
  28. [28]
    Order Fulfillment Process Flow Chart - eFulfillment Service
    May 6, 2015 · The order fulfillment process includes receiving orders, printing, picking, packing, shipping, and ship confirmation. Orders are received via ...
  29. [29]
    Order Fulfillment Flowchart - Visual Paradigm Online
    The order fulfillment flowchart includes: placing order, picking/packing, updating status, notifying of delays, and receiving the order.
  30. [30]
    Identifying bottlenecks using process mapping - CBO
    Mar 29, 2021 · Identifying bottlenecks using process mapping is an incredibly useful exercise for addressing potential workflow problems before they arise.What Is A Bottleneck? · Identifying Bottlenecks... · Flowcharts
  31. [31]
    The Limitations of Process Flowcharts - PlanetTogether
    Flowcharts also have a tendency to oversimplify a process and can leave out key details of a process. Alterations – Alterations are relatively frustrating ...
  32. [32]
    DFD Using Yourdon and DeMarco Notation - Visual Paradigm Online
    The DFD notation was first described in 1979 by Tom DeMarco as part of Structured Analysis. There are several other widely-used DFD notations which include the ...DFD Using Yourdon and... · The Elements of DFD · Data-flow Diagram Example...
  33. [33]
    Data Flow Diagram (DFD) | Business Analysis - Notre Dame Sites
    These symbols follow the conventions of Gane & Sarson or Yourdon & DeMarco notation, which are the two most commonly used notations for DFDs.
  34. [34]
    Difference between Flowchart and Data Flow Diagram (DFD)
    Jul 15, 2025 · FlowChart and Data Flow Diagrams both are ways of representing data or information. FlowChart is a visual representation and DFD is a graphical ...
  35. [35]
    Flowchart 101: Symbols, types, and how to create them - Asana
    May 17, 2025 · Design your own flowchart with our guide to symbols, types, and best practices. Create clear, effective flowcharts for any process.
  36. [36]
    How to represent in a flowchart data fetched from a database
    Dec 9, 2019 · I try to represent it with a flow chart. In this algorithm I need to fetch some data from the database in order to run a procedure.
  37. [37]
  38. [38]
    Design Flowchart In Programming (With Examples) - Programiz
    A flowchart is a diagrammatic representation of an algorithm. A flowchart can be helpful for both writing programs and explaining the program to others.<|separator|>
  39. [39]
    [PDF] The Multiple Meanings of a Flowchart
    Mar 21, 2016 · In a similar manner, flowcharts serve simultaneously as boundary objects and conscription devices.
  40. [40]
    How to make a flowchart for programming: a guide for developers
    Aug 29, 2024 · A flowchart is a diagram that depicts a process, system, or algorithm visually. These diagrams can be used to document, study, plan, improve, ...What Is A Flowchart? · Choose The Symbols For Your... · Connect The Symbols In Your...
  41. [41]
    Nassi-Shneiderman Diagrams - eagereyes.org
    Aug 28, 2016 · Isaac Nassi and Ben Shneiderman described the idea for a more structured visual approach. Their diagrams are sometimes called structured flowcharts.
  42. [42]
    Bubble Sort Algorithm - GeeksforGeeks
    Jul 23, 2025 · Bubble Sort is the simplest sorting algorithm that works by repeatedly swapping the adjacent elements if they are in the wrong order.Recursive Bubble Sort · Bubble Sort · Time and Space Complexity...
  43. [43]
    Bubble Sort (Flowchart) - Software Ideas Modeler
    Apr 28, 2022 · The flowchart shows the steps of the bubble sort algorithm. It is a simple sorting algorithm, that can switch two neighboring items in one run.
  44. [44]
    Fundamentals of reversible flowchart languages - ScienceDirect.com
    Reversible flowcharts are intended as a model of reversible programming languages in much the same way that classic flowcharts are a model of many widely used ...
  45. [45]
    Partial Evaluation of Reversible Flowchart Programs
    Reversible flowcharts are intended to naturally represent the structure and control flow of reversible (imperative) programming languages in a simple ...
  46. [46]
    Process Charts: First Steps in Finding the One Best Way to Do Work
    Dec 5, 2023 · ... Gilbreth, Frank B., and Gilbreth, L. M., 1921, Trans. ASME, 43, pp ... Search Site. Citation. Gilbreth, F. B., and Gilbreth, L. M.Process ...
  47. [47]
    How to Create a Flowchart? | The Workstream - Atlassian
    The process of creating a flowchart is pretty straightforward. Let's look at the five steps you must follow to make an effective flowchart for your business.
  48. [48]
    Keep it simple & follow these flowchart rules for better diagrams
    Logical Flow: Ensure that the flow of the chart follows a logical sequence, with each step leading logically to the next. Avoid convoluted paths or abrupt ...Missing: clutter | Show results with:clutter
  49. [49]
    Flowcharting Templates | National Museum of American History
    10 (October 1963), pp. ... American National Standards Institute, Flowchart Symbols and Their Usage in Information Processing, ANSI X3.
  50. [50]
  51. [51]
  52. [52]
    yEd Graph Editor - Features - yWorks
    yEd features include ready-to-use elements, clear data display, intuitive interface, automatic layout, and various output formats.
  53. [53]
    Microsoft Visio: Diagramming & Flowcharts | Microsoft 365
    Try Microsoft Visio, the best diagramming software for flowcharts, data visualization, and integrated workflows. Boost team collaboration and productivity.Visio in Microsoft 365 · Compare Visio Options · Visio Viewer · Visio Plan 2
  54. [54]
    Chapter 1. Introduction - Dia Diagram Editor
    Features of Dia include multiple-page printing, export to many formats (EPS, SVG, CGM and PNG), and the ability to use custom shapes created by the user as ...<|separator|>
  55. [55]
    Enterprise | Lucid Visual Collaboration Suite
    Most intelligent. Since our founding in 2010, Lucid's intelligent capabilities have enabled teams to visualize data and collaborate more efficiently.
  56. [56]
    Collaboration without constraints: RealtimeBoard is now Miro
    Mar 7, 2019 · As of March 6, 2019, we have a new name and brand identity: RealtimeBoard is now called Miro. From the beginning, we have aimed to help distributed teams work ...
  57. [57]
    Using draw.io in Confluence Cloud
    draw.io is a fully featured diagramming tool, with large shape libraries and templates for a wide range of diagrams.
  58. [58]
    Features - Flowgorithm
    The Source Code Viewer can convert your flowchart to several major programming languages. If you planning to learn a high-level language, then this feature ...Missing: educational | Show results with:educational
  59. [59]
    2023 Lucidchart Highlights
    2023 was quite the year at Lucid! We added a variety of new features, integrations, and templates to help your teams build faster and more efficiently.New Features · Templates · About Lucidchart
  60. [60]
    draw.io Integrations
    Create, edit and view diagrams using our free diagramming application online at app.diagrams.net. ... Embedded diagrams in draw.io for Confluence Cloud.
  61. [61]
    What is a Six Sigma Process Map? - LSS Online - Purdue University
    May 11, 2021 · Six Sigma process maps enable project teams to better reduce waste and continually improve the process—which is the heart of Lean Six Sigma ...
  62. [62]
  63. [63]
    Value Stream Mapping - Purdue Lean Six Sigma Online
    developed from Lean manufacturing — that organizations use to create a visual guide of all the components ...<|control11|><|separator|>
  64. [64]
    [PDF] Requirements and the Flow Down Process - DSpace@MIT
    Sep 25, 2009 · Requirements describe the necessary functions and features of the system we are to conceive, design, implement and operate. ▫ Performance. ▫ ...
  65. [65]
    [PDF] Using Fault Tree Analysis to Focus Mine Safety Research
    The method is deductive because it starts from a single fault at the top of a flow chart and expands out and downward to identify the many contributing causes ...
  66. [66]
    Chapter 2: Software Design
    Flowcharts and pseudo code are two common descriptive formats. There are no formal rules regarding pseudo code, rather it is a shorthand for describing what ...
  67. [67]
    [PDF] Edgar Dijkstra: Go To Statement Considered Harmful - CWI
    Edgar Dijkstra: Go To Statement Considered Harmful. Page 2. Edgar Dijkstra: Go To Statement Considered Harmful. 2. Aus: Communications of the ACM 11, 3 ...Missing: text | Show results with:text
  68. [68]
    Flowgorithm - Flowchart Programming Language
    Flowgorithm can interactively convert your flowchart to over 18 languages. These include: C#, C++, Java, JavaScript, Lua, Perl, Python, Ruby, Swift, Visual ...Features · Download · Documentation · Türkçe
  69. [69]
    Principles for Teaching Introductory Programming Using Flowcharts
    Cook, D. D. (2015, April), Flowgorithm: Principles for Teaching Introductory Programming Using Flowcharts Paper presented at 2015 Pacific Southwest Section ...
  70. [70]
    [PDF] SFC – A Structured Flow Chart Editor - Dr. Tia Watts
    Example 2 Binary Search. This example illustrates a function implementation of the Binary Search algorithm. The flow chart, its Generic style pseudo code ...Missing: course | Show results with:course
  71. [71]
    [PDF] Computational Thinking
    Computational thinking builds on the power and limits of computing processes, whether they are exe- cuted by a human or by a machine. Computational.
  72. [72]
    Flowchart Symbols & Meanings: A Guide with Examples - Slickplan
    Rating 4.4 (45) Arrow. Arrows indicate the direction in which the process is flowing from one step to the next. Advanced flowchart symbols.Missing: exit ISO ANSI<|control11|><|separator|>
  73. [73]
    Flowchart of multi-thread parallel algorithm - ResearchGate
    The SCALE-XSProc multigroup (MG) cross section processing procedure based on the CENTRM pointwise slowing down calculation is the primary procedure to process ...
  74. [74]
    [PDF] A Survey of Methods for Preventing Race Conditions
    May 10, 2006 · This system for detecting race conditions is highly dependent on the actual thread execution ordering that occurs when the instrumented code is.
  75. [75]
    [PDF] Modular programming • Call graphs, • Flow ch
    Flowchart showing the basic building blocks of structured programming. Page 3. Real Time Operating Systems. Lecture 1.3 by Jonathan W. Valvano.
  76. [76]
    An introduction to the Unified Modeling Language - IBM Developer
    Jun 26, 2023 · Way back in the late twentieth century -- 1997 to be exact -- the Object Management Group (OMG) released the Unified Modeling Language (UML) ...A Little Background · Use-Case Diagram · Activity DiagramMissing: evolution | Show results with:evolution<|control11|><|separator|>
  77. [77]
    What is Activity Diagram? - Visual Paradigm
    Activity diagram is essentially an advanced version of flow chart that modeling the flow from one activity to another activity.
  78. [78]
    What is a Workflow Diagram? [+How to Create One] | Atlassian
    Workflow diagrams—or flowcharts—are visual infographics that outline the sequential flow of steps or tasks involved in a process. They function as roadmaps ...
  79. [79]
    TFX | ML Production Pipelines - TensorFlow
    A TFX pipeline is a sequence of components that implement an ML pipeline which is specifically designed for scalable, high-performance machine learning tasks.TensorFlow Transform · TensorFlow Model Analysis · TensorFlow 2.x · Tutorials
  80. [80]
    draw.io Diagrams | UML, BPMN, AWS, ERD, & Flowcharts
    Rating 3.8/4 (1,185) draw.io combines diagramming and whiteboarding in one app, enabling real-time collaboration with full Confluence integration. ... diagrams to Confluence Cloud.