পদ্ধতির তুলনা করুন
নির্বাচিত পদ্ধতিগুলো পাশাপাশি পর্যালোচনা করুন; যে সারিগুলোয় পার্থক্য আছে সেগুলো চিহ্নিত করা হয়।
| পূর্ণসংখ্যা প্রোগ্রামিং× | ডায়নামিক প্রোগ্রামিং× | |
|---|---|---|
| ক্ষেত্র | অনুকূলকরণ | অনুকূলকরণ |
| পরিবার | Process / pipeline | Process / pipeline |
| উদ্ভবের বছর≠ | 1958 | 1957 |
| প্রবর্তক≠ | Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960) | Richard Bellman |
| ধরন≠ | Mathematical optimisation — exact combinatorial method | Exact combinatorial optimization via recursive decomposition |
| মৌলিক উৎস≠ | Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669 | Bellman, R. (1957). Dynamic Programming. Princeton University Press. ISBN: 978-0-691-07951-6 |
| অপর নাম≠ | IP, MIP, mixed-integer programming, mixed-integer linear programming | DP, Bellman's Principle of Optimality, Recursive Optimization, Dinamik Programlama |
| সম্পর্কিত≠ | 4 | 3 |
| সারসংক্ষেপ≠ | Integer programming (IP), also called mixed-integer programming (MIP) when only some variables are restricted to whole numbers, is a branch of mathematical optimisation in which some or all decision variables must take integer or binary values. Building on linear programming, it was formalised through Ralph Gomory's cutting-plane method (1958) and the Land-and-Doig branch-and-bound algorithm (1960), and it has since become the standard exact framework for scheduling, assignment, routing, and resource-allocation problems. | Dynamic Programming (DP) is an exact optimization technique introduced by Richard Bellman in 1957 for solving multi-stage decision problems. It decomposes a complex problem into simpler, overlapping subproblems, solves each subproblem once, and stores the results to avoid redundant computation. Grounded in the Principle of Optimality, DP guarantees globally optimal solutions whenever the problem exhibits overlapping subproblems and optimal substructure. |
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