手法を比較
選択した手法を並べて確認できます。異なる行はハイライト表示されます。
| 二レベル最適化（リーダー・フォロワー）× | 整数計画法× | |
|---|---|---|
| 分野 | 最適化 | 最適化 |
| 系統 | Process / pipeline | Process / pipeline |
| 提唱年≠ | 1998 | 1958 |
| 提唱者≠ | Jonathan Bard | Ralph Gomory (cutting planes, 1958); land-and-doig branch-and-bound (1960) |
| 種類≠ | Hierarchical mathematical programming | Mathematical optimisation — exact combinatorial method |
| 原典≠ | Bard, J. F. (1998). Practical Bilevel Optimization: Algorithms and Applications. Kluwer Academic Publishers. ISBN: 978-0-7923-5458-7 | Wolsey, L.A. (1998). Integer Programming. Wiley. ISBN: 9780471283669 |
| 別名≠ | Stackelberg Optimization, Hierarchical Programming, Nested Optimization, İki Düzeyli Optimizasyon | IP, MIP, mixed-integer programming, mixed-integer linear programming |
| 関連≠ | 3 | 4 |
| 概要≠ | Bilevel optimization is a class of mathematical programming problems in which one optimization problem is nested inside another. The upper-level (leader) problem optimizes its objective subject to constraints that include the solution of a lower-level (follower) problem. Formalized comprehensively by Jonathan Bard in 1998, the framework models hierarchical decision-making where the leader anticipates and accounts for the rational response of the follower. | 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. |
| ScholarGateデータセット ↗ |
|
|