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برنامه‌ریزی خطی عدد صحیح مختلط قطعی×برنامه‌ریزی خطی عدد صحیح چندهدفه×
حوزهشبیه‌سازیشبیه‌سازی
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش1958–19601980s–2000s
پدیدآورGomory, R. E.; Dantzig, G. B.; Land, A. H.; Doig, A. G.Ehrgott, M.; Mavrotas, G. and others in multi-criteria optimization
نوعMathematical programming / combinatorial optimizationMathematical optimization
منبع بنیادینNemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. John Wiley & Sons, New York. ISBN: 9780471359432Ehrgott, M. (2005). Multicriteria Optimization (2nd ed.). Springer, Berlin. ISBN: 9783540213987
نام‌های دیگرDeterministic MIP, Deterministic MILP/MIQP, Classical Mixed-Integer Programming, Deterministic MIP OptimizationMO-MIP, Multi-criteria MIP, MOMIP, Multi-objective MILP
مرتبط65
خلاصهDeterministic Mixed-Integer Programming (MIP) is a mathematical optimization framework that finds the provably optimal solution to problems involving both continuous and integer decision variables under fully known, fixed coefficients and constraints. It is the foundational workhorse of operations research when all data are treated as certain.Multi-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.
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ScholarGateمقایسهٔ روش‌ها: Deterministic Mixed-Integer Programming · Multi-objective mixed-integer programming. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare