整数解を導出するための単体法とゴモリーカットの合成について

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  • セイスウカイ オ ドウシュツ スル タメ ノ タンタイホウ ト ゴモリーカット ノ ゴウセイ ニ ツイテ
  • On Composing the Simplex Method and Gomory Cut for Deriving Integer Assignments

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Abstract

The simplex method is one of the methods to derive rational assignments from linear constraints on ra- tiolals. It is known that we can derive integer assignments by composing the methods to derive rational assignments and cutting plane methods such as Gomory cut. However, Gomory cut is not applicable to all formulas resulted from the simplex method. In this paper, we first reveal an invariant property of the internal state of the simplex method in order to compose the simplex method and Gomory cut. Then we show a procedure of the composition of these methods, and we propose the form of constraints that are added into the initial constraint by applying Gomory cut so as to implement more simply. Finally, we compare our implemented solver with other solvers

IEICE Technical Report;MSS2012-78,IEICE Technical Report;SS2012-78

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