Exact hybrid algorithms for solving a bi-objective vehicle routing problem

被引：28
|
作者：
Reiter, Peter [1 ]
Gutjahr, Walter J. [1 ]
机构：
[1] Univ Vienna, Dept Stat & Decis Support Syst, A-1010 Vienna, Austria
来源：
CENTRAL EUROPEAN JOURNAL OF OPERATIONS RESEARCH | 2012年 / 20卷 / 01期
基金：
奥地利科学基金会;
关键词：
Capacitated vehicle routing problem; Distance constraints; Multiobjective combinatorial optimization; Branch-and-cut; Genetic algorithms; NSGA-II; TRAVELING SALESMAN PROBLEM; CONSTRAINT; SEARCH;
D O I：
10.1007/s10100-010-0158-3
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：
The paper investigates a capacitated vehicle routing problem with two objectives: (1) minimization of total travel cost and (2) minimization of the length of the longest route. We present algorithmic variants for the exact determination of the Pareto-optimal solutions of this bi-objective problem. Our approach is based on the adaptive epsilon-constraint method. For solving the resulting single-objective subproblems, we apply a branch-and-cut technique, using (among others) a novel implementation of Held-Karp-type bounds. Incumbent solutions are generated by means of a single-objective genetic algorithm and, alternatively, by the multi-objective NSGA-II algorithm. Experimental results for a benchmark of 54 test instances from the TSPLIB are reported.
引用
收藏
页码：19 / 43
页数：25
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