On the number of solutions generated by Dantzig's simplex method for LP with bounded variables

Tomonari Kitahara, Tomomi Matsui, Shinji Mizuno

研究成果: Contribution to journalArticle査読

5 被引用数 (Scopus)

抄録

We give an upper bound for the number of different basic feasible solutions generated by Dantzig's simplex method (the simplex method with the most negative pivoting rule) for LP with bounded variables by extending the result of Kitahara and Mizuno (2010). We refine the analysis by them and improve an upper bound for a standard form of LP. Then we utilize the improved bound for an LP with bounded variables. We apply our bound to the minimum cost flow problem and the maximum flow problem, and we obtain new results of bounds for Dantzig's simplex method.

本文言語英語
ページ(範囲)447-455
ページ数9
ジャーナルPacific Journal of Optimization
8
3
出版ステータス出版済み - 7 2012
外部発表はい

All Science Journal Classification (ASJC) codes

  • 制御と最適化
  • 計算数学
  • 応用数学

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