A primal-dual simplex algorithm for bi-objective network flow problems

被引：3
|
作者：
Eusebio, Augusto [1 ,2 ]
Figueira, Jose Rui [2 ,3 ]
Ehrgott, Matthias [4 ,5 ]
机构：
[1] Inst Politecn Leiria, Escola Super Tecnol & Gestao, P-2411901 Alto Vieiro, Leiria, Portugal
[2] Univ Tecn Lisbon, Inst Super Tecn, Ctr Management Studies, CEG IST, P-2780990 Porto Salvo, Portugal
[3] Univ Paris 09, LAMSADE, F-75775 Paris, France
[4] Univ Auckland, Dept Engn Sci, Auckland 1142, New Zealand
[5] Univ Nantes, LINA, F-44322 Nantes 03, France
来源：
4OR-A QUARTERLY JOURNAL OF OPERATIONS RESEARCH | 2009年 / 7卷 / 03期
关键词：
Multi-criteria optimization; Multi-objective linear programming; Network flow problem; Primal-dual simplex algorithm;
D O I：
10.1007/s10288-008-0087-3
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper we develop a primal-dual simplex algorithm for the bi-objective linear minimum cost network flow problem. This algorithm improves the general primal-dual simplex algorithm for multi-objective linear programs by Ehrgott et al. (J Optim Theory Appl 134:483-497, 2007). We illustrate the algorithm with an example and provide numerical results.
引用
收藏
页码：255 / 273
页数：19
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