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برنامه‌ریزی خطی عدد صحیح مختلط قطعی×برنامه‌ریزی عدد صحیح مختلط×
حوزهشبیه‌سازیشبیه‌سازی
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش1958–19601958–1960
پدیدآورGomory, R. E.; Dantzig, G. B.; Land, A. H.; Doig, A. G.Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960)
نوعMathematical programming / combinatorial optimizationMathematical optimization
منبع بنیادینNemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. John Wiley & Sons, New York. ISBN: 9780471359432Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432
نام‌های دیگرDeterministic MIP, Deterministic MILP/MIQP, Classical Mixed-Integer Programming, Deterministic MIP OptimizationMIP, Mixed-Integer Linear Programming, MILP, Integer Programming
مرتبط66
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.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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ScholarGateمقایسهٔ روش‌ها: Deterministic Mixed-Integer Programming · Mixed-Integer Programming. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare