השוואת שיטות
סקרו את השיטות שבחרתם זו לצד זו; שורות שבהן יש הבדל מודגשות.
| תכנון ליניארי בשלמים מעורבים× | תכנון שלם מעורב סטוכסטי× | |
|---|---|---|
| תחום | סימולציה | סימולציה |
| משפחה | Process / pipeline | Process / pipeline |
| שנת המקור≠ | 1958–1960 | 1990s–2000s |
| הוגה השיטה≠ | Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960) | Birge, J. R.; Louveaux, F.; Sen, S. |
| סוג≠ | Mathematical optimization | Stochastic optimization model |
| מקור מכונן≠ | 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 |
| כינויים | MIP, Mixed-Integer Linear Programming, MILP, Integer Programming | SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP |
| קשורות≠ | 6 | 5 |
| תקציר≠ | 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. |
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