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البرمجة الصحيحة×البرمجة بالهدف×
المجالالتحسيناتخاذ القرار
العائلةProcess / pipelineMCDM
سنة النشأة19581955
صاحب الطريقةRalph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960)Charnes, A., Cooper, W. W.
النوعMathematical optimisation — exact combinatorial methodMulti-objective optimisation — weighted/lexicographic goal deviation minimisation
المصدر التأسيسيWolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669Charnes, A., Cooper, W. W. (1955). Optimal estimation of executive compensation by linear programming. Management Science DOI ↗
الأسماء البديلةIP, MIP, mixed-integer programming, mixed-integer linear programming
ذات صلة48
الملخصInteger programming (IP), also called mixed-integer programming (MIP) when only some variables are restricted to whole numbers, is a branch of mathematical optimisation in which some or all decision variables must take integer or binary values. Building on linear programming, it was formalised through Ralph Gomory's cutting-plane method (1958) and the Land-and-Doig branch-and-bound algorithm (1960), and it has since become the standard exact framework for scheduling, assignment, routing, and resource-allocation problems.GOAL-PROGRAMMING (Goal Programming — Minimise deviations from multiple aspiration levels) is a ranking multi-criteria decision-making (MCDM) method introduced by Charnes, A., Cooper, W. W. in 1955. It turns a decision matrix of alternatives scored on multiple criteria into a structured, reproducible result.
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ScholarGateقارن الطرق: Integer Programming · GOAL-PROGRAMMING. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare