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決定版混合整数計画法×決定論的動的計画法×
分野シミュレーションシミュレーション
系統Process / pipelineProcess / pipeline
提唱年1958–19601957
提唱者Gomory, R. E.; Dantzig, G. B.; Land, A. H.; Doig, A. G.Richard E. Bellman
種類Mathematical programming / combinatorial optimizationExact sequential optimization algorithm
原典Nemhauser, G. L., Wolsey, L. A. (1988). Integer and Combinatorial Optimization. John Wiley & Sons, New York. ISBN: 9780471359432Bellman, R. E. (1957). Dynamic Programming. Princeton University Press, Princeton, NJ. ISBN: 9780691079516
別名Deterministic MIP, Deterministic MILP/MIQP, Classical Mixed-Integer Programming, Deterministic MIP OptimizationDDP, Deterministic DP, Classical Dynamic Programming, Bellman Dynamic Programming
関連66
概要Deterministic Mixed-Integer Programming (MIP) is a mathematical optimization framework that finds the provably optimal solution to problems involving both continuous and integer decision variables under fully known, fixed coefficients and constraints. It is the foundational workhorse of operations research when all data are treated as certain.Deterministic Dynamic Programming (DDP) is a mathematical optimization technique that decomposes a multi-stage decision problem into a sequence of simpler subproblems, solving them exactly when all system parameters — transition functions, costs, and rewards — are known with certainty. It guarantees a globally optimal policy via Bellman's principle of optimality.
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ScholarGate手法を比較: Deterministic Mixed-Integer Programming · Deterministic Dynamic Programming. 2026-06-15に以下より取得 https://scholargate.app/ja/compare