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برنامه‌ریزی خطی عدد صحیح چندهدفه×بهینه‌سازی چندهدفه×
حوزهشبیه‌سازیشبیه‌سازی
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش1980s–2000s1896 (concept); 1989–2002 (evolutionary algorithms era)
پدیدآورEhrgott, M.; Mavrotas, G. and others in multi-criteria optimizationVilfredo Pareto (concept); modern computational formulation by Goldberg and Deb et al.
نوعMathematical optimizationOptimization framework
منبع بنیادینEhrgott, M. (2005). Multicriteria Optimization (2nd ed.). Springer, Berlin. ISBN: 9783540213987Deb, K. (2001). Multi-Objective Optimization Using Evolutionary Algorithms. Wiley, Chichester. ISBN: 9780471873396
نام‌های دیگرMO-MIP, Multi-criteria MIP, MOMIP, Multi-objective MILPMOO, Multi-Criteria Optimization, Vector Optimization, Pareto Optimization
مرتبط53
خلاصهMulti-Objective Mixed-Integer Programming (MO-MIP) is an optimization framework that simultaneously optimizes two or more conflicting objective functions subject to linear or nonlinear constraints, where some decision variables are restricted to integer values and others are continuous. It is widely applied in engineering design, supply chain planning, resource allocation, and scheduling problems that require discrete choices alongside continuous quantities.Multi-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.
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ScholarGateمقایسهٔ روش‌ها: Multi-objective mixed-integer programming · Multi-Objective Optimization. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare