--- title: "Operation (operations research)" source: "https://systems-analysis.info/eng/Operation_(operations_research)" wiki: "systems-analysis.info/eng" article: "Operation_(operations_research)" language: "en" categories: - "Category:Decision theory" - "Category:English" - "Category:Modeling" - "Category:Operations research" - "Category:Science" - "Category:Terminology" revision_id: 279 wiki_created_at: 2026-09-06T22:19:57Z wiki_modified_at: 2026-09-06T22:19:57Z downloaded_at: 2026-09-07T22:22:26Z --- # Operation (operations research) **Operation** — in the context of [operations research (OR)](https://systems-analysis.info/eng/Operations_research "Operations research"), this is a purposeful, managed [activity](https://systems-analysis.info/eng/Activity "Activity") (a set of interrelated actions), unified by a single concept and aimed at achieving a set of [goals](https://systems-analysis.info/eng/Goal "Goal") using specific resources and within given [constraints](https://systems-analysis.info/eng/Constraints "Constraints"). An operation is the central **object of study and modeling** in operations research. OR methods are applied for the quantitative justification of [optimal decisions](https://systems-analysis.info/eng/Optimal_decision "Optimal decision") in planning and managing operations. ## Key Characteristics of an Operation in OR An operation in operations research has the following key features: - Activity-based nature: An operation is always an active process that includes: - [Goal](https://systems-analysis.info/eng/Goal "Goal") — the expected, desired result. - Means (Resources) — the material, temporal, financial, human, and information resources used. - Object of activity — the [system](https://systems-analysis.info/eng/System "System"), process, or situation upon which action is directed to achieve the goal. - Systemic nature: An operation is viewed as a [system](https://systems-analysis.info/eng/System "System") of interconnected actions, not a random collection of them. It has a design, which implies the existence of a [plan](https://systems-analysis.info/eng/Planning "Planning") and coordination. - Controllability: The execution of an operation depends on decisions made by a decision-maker (DM). There are controllable parameters that the DM can choose. - Presence of alternatives: There are usually several alternative ways (strategies) to conduct the operation. - Resource scarcity: Operations are performed under conditions of limited available resources. - Presence of [constraints](https://systems-analysis.info/eng/Constraints "Constraints"): There are conditions (technological, economic, temporal, etc.) that must be adhered to. ## Components of an Operation as a Modeling Object When modeling an operation in OR for analysis and [optimization](https://systems-analysis.info/eng/Optimization "Optimization"), the following structural components are typically identified: - **Decision-maker (DM)**: The subject responsible for choosing the strategy and parameters of the operation. - **[Goal(s)](https://systems-analysis.info/eng/Goal "Goal") of the operation**: A clearly formulated desired result, often expressed through [efficiency criteria](https://systems-analysis.info/eng/Criterion "Criterion"). - **Alternatives (Strategies)**: The set of possible plans or sets of actions for conducting the operation. - **Resources**: The aggregate of means necessary and available for performing the operation. - **[Constraints](https://systems-analysis.info/eng/Constraints "Constraints")**: Factors limiting the choice of alternatives or the use of resources. - **[Efficiency criterion/criteria](https://systems-analysis.info/eng/Criterion "Criterion")**: An indicator or indicators for evaluating and comparing alternatives (e.g., profit, cost, time). In [mathematical models](https://systems-analysis.info/eng/Mathematical_model "Mathematical model"), it is often represented by an [objective function](https://systems-analysis.info/eng/Objective_function "Objective function"). - **Outcome (Result)**: The final result of the operation, which depends on the chosen strategy and, possibly, on [external conditions](https://systems-analysis.info/eng/System_environment "System environment") ([uncertainty](https://systems-analysis.info/eng/Uncertainty "Uncertainty"), [risk](https://systems-analysis.info/eng/Risk "Risk")). ## Operation and Decision-Making An operation is always managed by a DM, who is responsible for: - Formulating the operation's [goals](https://systems-analysis.info/eng/Goal "Goal"). - Defining and selecting controllable parameters. - Evaluating alternatives and choosing the best strategy. [Operations research](https://systems-analysis.info/eng/Operations_research "Operations research") provides the DM with methods and [models](https://systems-analysis.info/eng/Model "Model") for: - Formalizing the operation. - Analyzing possible outcomes. - Qualitatively and quantitatively justifying the choice of an [optimal](https://systems-analysis.info/eng/Optimal_decision "Optimal decision") or [rational](https://systems-analysis.info/eng/Rational_choice_(decision_theory) "Rational choice (decision theory)") decision. ## Operations in Complex Systems Often, the operations studied in OR are part of larger, [complex systems](https://systems-analysis.info/eng/System_complexity "System complexity") and can be organized [hierarchically](https://systems-analysis.info/eng/Hierarchy "Hierarchy"). Managing such operations requires the application of a [systems approach](https://systems-analysis.info/eng/Systems_approach "Systems approach"). Operations research works closely with [systems theory](https://systems-analysis.info/eng/Systems_theory "Systems theory") and [decision theory](https://systems-analysis.info/eng/Decision_theory "Decision theory") to analyze and optimize operations in complex organizational, technical, and economic systems. ## See also - [Operations_research](https://systems-analysis.info/eng/Operations_research "Operations research") - [Systems_analysis](https://systems-analysis.info/eng/Systems_analysis "Systems analysis") - [Decision-making](https://systems-analysis.info/eng/Decision-making "Decision-making") - [Optimization](https://systems-analysis.info/eng/Optimization "Optimization") - [Modeling](https://systems-analysis.info/eng/Modeling_(scientific) "Modeling (scientific)") - [Mathematical_model](https://systems-analysis.info/eng/Mathematical_model "Mathematical model") - [Objective_function](https://systems-analysis.info/eng/Objective_function "Objective function") - [Criterion](https://systems-analysis.info/eng/Criterion "Criterion") - [Constraints](https://systems-analysis.info/eng/Constraints "Constraints") - [Goal](https://systems-analysis.info/eng/Goal "Goal") - [Activity](https://systems-analysis.info/eng/Activity "Activity") - [Process](https://systems-analysis.info/eng/Process "Process") ## Literature - *Venttsel, E. S.* Issledovanie operatsiy: zadachi, printsipy, metodologiya \[Operations Research: Tasks, Principles, Methodology\]. — Moscow: Nauka, 1988. (Or a later edition) - *Taha, Hamdy A.* Operations Research: An Introduction. — Pearson. (Specify edition, e.g., 10th ed., 2017) - *Hillier, Frederick S.; Lieberman, Gerald J.* Introduction to Operations Research. — McGraw-Hill Education.