An Affine Scaling Algorithm for Biobjective Linear Programming

被引:0
作者
Menezes, Marco Antonio Figueiredo [1 ]
Maculan, Nelson [2 ]
机构
[1] Pontifical Catholic Univ Goias, Polytech Sch, Goiania, GO, Brazil
[2] Univ Fed Rio de Janeiro, Syst & Comp Sci Appl Math, Rio De Janeiro, RJ, Brazil
关键词
Multiobjective linear programming; Biobjective linear programming; Affine scaling algorithm; Optimization;
D O I
10.1007/s40305-023-00486-0
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
Given a biobjective linear programming problem, we develop an affine scaling algorithm with min-max direction and demonstrate its convergence for an efficient solution. We implement the algorithm for some minor issues in the literature.
引用
收藏
页码:937 / 951
页数:15
相关论文
共 26 条
[1]   An interactive interior point algorithm for multiobjective linear programming problems [J].
Aghezzaf, B ;
Ouaderhman, T .
OPERATIONS RESEARCH LETTERS, 2001, 29 (04) :163-170
[2]   Using approximate gradients in developing an interactive interior primal-dual multiobjective linear programming algorithm [J].
Arbel, A ;
Oren, SS .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1996, 89 (01) :202-211
[3]  
Arbel A., 1993, J MULTI-CRITERIA DEC, V2, P73, DOI [10.1002/mcda.4020020204, DOI 10.1002/MCDA.4020020204]
[4]  
Arbel A., 1999, MULTICRITERIA DECISI, P367, DOI [10.1007/978-1-4615-5025-9_13, DOI 10.1007/978-1-4615-5025-9_13]
[5]   A VARIATION ON KARMARKAR ALGORITHM FOR SOLVING LINEAR-PROGRAMMING PROBLEMS [J].
BARNES, ER .
MATHEMATICAL PROGRAMMING, 1986, 36 (02) :174-182
[6]   Multiobjective combinatorial optimization problems with a cost and several bottleneck objective functions: An algorithm with reoptimization [J].
Bornstein, Claudio T. ;
Maculan, Nelson ;
Pascoal, Marta ;
Pinto, Leizer L. .
COMPUTERS & OPERATIONS RESEARCH, 2012, 39 (09) :1969-1976
[7]  
Climaco J.N., 2003, Programacao Linear Multiobjectivo
[8]  
COMBETTES PL, 2001, INHERENTLY PARALLEL, P115
[9]   Biobjective Simulation Optimization on Integer Lattices Using the Epsilon-Constraint Method in a Retrospective Approximation Framework [J].
Cooper, Kyle ;
Hunter, Susan R. ;
Nagaraj, Kalyani .
INFORMS JOURNAL ON COMPUTING, 2020, 32 (04) :1080-1100
[10]  
Dikin I.I., 1974, Upravlyaemye Sistemi, V12, P54