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التحسين متعدد الأهداف×البرمجة الصحيحة المختلطة×
المجالالمحاكاةالمحاكاة
العائلةProcess / pipelineProcess / pipeline
سنة النشأة1896 (concept); 1989–2002 (evolutionary algorithms era)1958–1960
صاحب الطريقةVilfredo Pareto (concept); modern computational formulation by Goldberg and Deb et al.Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
النوعOptimization frameworkMathematical optimization
المصدر التأسيسيDeb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
الأسماء البديلةMOO, Multi-Criteria Optimization, Vector Optimization, Pareto OptimizationMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
ذات صلة36
الملخصMulti-Objective Optimization (MOO) is a mathematical and computational framework for finding solutions that simultaneously optimize two or more conflicting objective functions. Rather than collapsing all goals into a single scalar, MOO produces a set of trade-off solutions — the Pareto front — from which a decision-maker selects according to preference. It is widely used in engineering design, operations research, logistics, economics, and policy analysis.Mixed-Integer Programming (MIP) is a mathematical optimization framework in which some decision variables must take integer values while others may be continuous. It generalizes linear programming and is widely used in operations research, logistics, scheduling, resource allocation, and engineering design, where indivisibility constraints — such as yes/no decisions or whole-unit quantities — arise naturally.
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  1. v1
  2. 2 المصادر
  3. PUBLISHED

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ScholarGateقارن الطرق: Multi-Objective Optimization · Mixed-Integer Programming. استُرجع بتاريخ 2026-06-15 من https://scholargate.app/ar/compare