December 2016
Intermediate to advanced
440 pages
9h 44m
Japanese
Content preview from アルゴリズムクイックリファレンス 第2版
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8.10
参考文献
■
277
例
8-7
輸送問題に最小化を適用する
Maple
コマンド
Constraints := [
#
各節点でのユニット保存
e13+e14 = 300, # CHI
e23+e24 = 300, # DC
e13+e23 = 300, # HOU
e14+e24 = 300, # BOS
#
各辺での最大フロー
0 <= e13, e13 <= 200,
0 <= e14, e14 <= 200,
0 <= e23, e23 <= 280,
0 <= e24, e24 <= 350
];
Cost := 7*e13 + 6*e14 + 4*e23 + 6*e24;
#
問題を解くために線形計画法を呼び出す
minimize (Cost, Constraints, NONNEGATIVE);
George Dantzig
が
1947
年に設計した
シンプレックス
は、例8-7で示したような
問題で、数百、数千の変数を含むものを解くことができ
る（
McCall, 1982
）。
シン
プレックス
は、実際に効率の良いことが繰り返し示されているが、この方式は、不
幸な状況下では指数ステップかかる可能性がある。
シンプレックス
アルゴリズムを
自分で実装することは、薦められない。複雑だし、既に有用な商用のライブラリが
あるためである。
8.10
参考文献
Ahuja, Ravindra K., Thomas L. Magnanti, and James B. Orlin, Network Flows:
Theory, Algorit ...
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