Stability set for integer linear goal programming

被引：4

作者：

Saad, OM ^{[1
]}

Sharif, WH ^{[1
]}

机构：

[1] Qatar Univ, Coll Sci, Dept Math, Doha, Qatar

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2004年 / 153卷 / 03期

关键词：

goal programming; multiobjective integer linear programming; stability;

D O I：

10.1016/S0096-3003(03)00669-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present an iterative goal programming approach for solving multiobjective integer linear programming problems. After illustrating the approach we give the definition of, and an algorithm to determine the stability set of the first kind for multiobjective problems of all-integer variables and with parameters in the right-hand side of the constraints. Finally, the paper is concluded together with some points for further research. (C) 2003 Elsevier Inc. All rights reserved.

引用

页码：743 / 750

页数：8

共 50 条

[31] Developments in linear and integer programming
Darby-Dowman, K
Wilson, JM
[J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2002, 53 (10) : 1065 - 1071
[32] Advances in linear and integer programming
Simons, R
[J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 1998, 49 (05) : 558 - 559
[33] AN ALGORITHM FOR INTEGER LINEAR PROGRAMMING
COOK, RA
COOPER, L
[J]. OPERATIONS RESEARCH, 1965, S 13 : B169 - &
[34] Theory of linear and integer programming
Letchford, AN
[J]. JOURNAL OF THE OPERATIONAL RESEARCH SOCIETY, 2000, 51 (07) : 892 - 893
[35] A new mixed integer programming approach for optimization over the efficient set of a multiobjective linear programming problem
Lu, Kuan
Mizuno, Shinji
Shi, Jianming
[J]. OPTIMIZATION LETTERS, 2020, 14 (08) : 2323 - 2333
[36] A new mixed integer programming approach for optimization over the efficient set of a multiobjective linear programming problem
Kuan Lu
Shinji Mizuno
Jianming Shi
[J]. Optimization Letters, 2020, 14 : 2323 - 2333
[37] An integer programming problem with a linear programming solution
Broughan, E
Zhu, N
[J]. AMERICAN MATHEMATICAL MONTHLY, 2000, 107 (05): : 444 - 446
[38] Stochastic Chebyshev Goal Programming Mixed Integer Linear Model for Sustainable Global Production Planning
Wang, Chia-Nan
Nhieu, Nhat-Luong
Tran, Trang Thi Thu
[J]. MATHEMATICS, 2021, 9 (05) : 1 - 23
[39] Achievement Stability Set for Parametric Rough Linear Goal Programing Problem
Farahat, F. A.
ElSayed, M. A.
[J]. FUZZY INFORMATION AND ENGINEERING, 2019, 11 (03) : 279 - 294
[40] Integer set reduction for stochastic mixed-integer programming
Saravanan Venkatachalam
Lewis Ntaimo
[J]. Computational Optimization and Applications, 2023, 85 : 181 - 211

← 1 2 3 4 5 →