পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| মিশ্র-পূর্ণসংখ্যা প্রোগ্রামিং× | Stochastic Mixed-Integer Programming× | |
|---|---|---|
| ক্ষেত্র | অনুকরণ | অনুকরণ |
| পরিবার | Process / pipeline | Process / pipeline |
| উদ্ভবের বছর≠ | 1958–1960 | 1990s–2000s |
| প্রবর্তক≠ | Ralph Gomory (branch-and-bound cuts, 1958); Land & Doig (branch-and-bound, 1960) | Birge, J. R.; Louveaux, F.; Sen, S. |
| ধরন≠ | Mathematical optimization | Stochastic optimization model |
| মৌলিক উৎস≠ | 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 |
| অপর নাম | MIP, Mixed-Integer Linear Programming, MILP, Integer Programming | SMIP, Stochastic MIP, Mixed-Integer Stochastic Programming, SMILP |
| সম্পর্কিত≠ | 6 | 5 |
| সারসংক্ষেপ≠ | 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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