So sánh phương pháp
Xem các phương pháp đã chọn cạnh nhau; những hàng khác biệt được làm nổi bật.
| Quy hoạch nguyên hỗn hợp× | Quy hoạch nguyên hỗn hợp ngẫu nhiên× | |
|---|---|---|
| Lĩnh vực | Mô phỏng | Mô phỏng |
| Họ | Process / pipeline | Process / pipeline |
| Năm ra đời≠ | 1958–1960 | 1990s–2000s |
| Người khởi xướng≠ | Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960) | Birge, J. R.; Louveaux, F.; Sen, S. |
| Loại≠ | Mathematical optimization | Stochastic optimization model |
| Công trình gốc≠ | Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. Wiley-Interscience, New York. ISBN: 9780471359432 | Birge, J. R., & Louveaux, F. (1997). Introduction to Stochastic Programming. Springer Series in Operations Research. New York: Springer. ISBN: 9780387982175 |
| Tên gọi khác | MIP, Mixed-Integer Linear Programming, MILP, Integer Programming | SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP |
| Liên quan≠ | 6 | 5 |
| Tóm tắt≠ | 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. | Stochastic Mixed-Integer Programming (SMIP) is an optimization framework that finds the best mix of binary, integer, and continuous decisions when key parameters — costs, demands, capacities — are uncertain and modeled as probability distributions over a set of scenarios. It extends classical MIP by embedding scenario trees or expected-value objectives that hedge against uncertainty while respecting combinatorial constraints. |
| ScholarGateBộ dữ liệu ↗ |
|
|