AN EXACT METHOD FOR SOLVING THE BI-OBJECTIVE MINIMUM DIAMETER-COST SPANNING TREE PROBLEM

被引:7
作者
De Sousa, Ernando Gomes [1 ]
Santos, Andrea Cynthia [2 ]
Aloise, Dario Jose [1 ]
机构
[1] Univ Estado Rio Grande do Norte, BR-59610210 Mossoro, RN, Brazil
[2] Univ Technol Troyes, ICD LOSI, CS 42060, F-10004 Troyes, France
关键词
Spanning trees; multi-objective optimization; Parallel Partitioning Method; FORMULATION; ALGORITHM; PPM;
D O I
10.1051/ro/2014029
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 work, we propose a procedure to compute Pareto-optimal fronts for the bi-objective Minimum Diameter-Cost Spanning Tree problem (bi-MDCST). The bi-MDCST aims at finding spanning trees with minimum total cost and minimum diameter. Strategic decision problems for high-speed trains infrastructure, as well as tactical and operational optimization problems for network design and transportation can be modeled as bi-MDCST. The proposed exact procedure makes use of components from the multi-objective exact method Parallel Partitioning Method, and Pareto-optimal fronts have been computed for two benchmark instances from the literature. To the best of our knowledge, there are no works dedicated to providing Pareto-optimal fronts for the bi-MDCST.
引用
收藏
页码:143 / 160
页数:18
相关论文
共 35 条
[1]  
[Anonymous], LECT NOTES COMPUT SC
[2]  
[Anonymous], TRANSPORTATION SCI
[3]  
[Anonymous], INT J COMPUT APPL
[4]  
[Anonymous], 1994, AUST J COMB
[5]  
Arroyo JEC, 2008, ANN OPER RES, V159, P125, DOI [10.1007/s10479-007-0263-4, 10.1007/S10479-007-0263-4]
[6]   An exact ε-constraint method for bi-objective combinatorial optimization problems: Application to the Traveling Salesman Problem with Profits [J].
Berube, Jean-Francois ;
Gendreau, Michel ;
Potvin, Jean-Yves .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2009, 194 (01) :39-50
[7]   A survey of recent developments in multiobjective optimization [J].
Chinchuluun, Altannar ;
Pardalos, Panos M. .
ANNALS OF OPERATIONS RESEARCH, 2007, 154 (01) :29-50
[8]  
Cor men T. H., 2009, Introduction to Algorithms, V3rd
[9]  
Deo N, 2000, LECT NOTES COMPUT SC, V1767, P17
[10]   IMPROVEMENTS AND EXTENSIONS TO THE MILLER-TUCKER-ZEMLIN SUBTOUR ELIMINATION CONSTRAINTS [J].
DESROCHERS, M ;
LAPORTE, G .
OPERATIONS RESEARCH LETTERS, 1991, 10 (01) :27-36