مقایسهٔ روشها
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| برنامهریزی خطی عدد صحیح چندهدفه× | برنامهریزی عدد صحیح مختلط× | |
|---|---|---|
| حوزه | شبیهسازی | شبیهسازی |
| خانواده | Process / pipeline | Process / pipeline |
| سال پیدایش≠ | 1980s–2000s | 1958–1960 |
| پدیدآور≠ | Ehrgott, M.; Mavrotas, G. and others in multi-criteria optimization | Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960) |
| نوع | Mathematical optimization | Mathematical optimization |
| منبع بنیادین≠ | Ehrgott, M. (2005). Multicriteria Optimization (2nd ed.). Springer, Berlin. ISBN: 9783540213987 | Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432 |
| نامهای دیگر | MO-MIP, Multi-criteria MIP, MOMIP, Multi-objective MILP | MIP, Mixed-Integer Linear Programming, MILP, Integer Programming |
| مرتبط≠ | 5 | 6 |
| خلاصه≠ | 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. | 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. |
| ScholarGateمجموعهداده ↗ |
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