Abstract | ||
---|---|---|
The min-max vehicle routing problem VRP is a variant of the classical VRP in which the objective is to minimize the duration of the longest route. Examination of the VRP literature indicates that the min-max VRP has received less attention than other variants have over the years. However, the problem has important practical applications, such as those related to routing school buses. In this setting, in addition to the min-max criterion imposed on the time it takes to complete the longest route, school districts are concerned with the minimization of the total distance traveled, which is the objective of the classical VRP. Hence, the problem is formulated as a bi-objective optimization model that trades off service i.e., the minimization of the longest route and operational cost i.e., the minimization of the total distance traveled. We develop a solution procedure for this problem by applying tabu search within the framework of Multiobjective Adaptive Memory Programming and compare it to an implementation of the Non-dominated Sorting Genetic Algorithm---a well-known approach to multiobjective optimization. We also assess the merit of the solution method by comparing our approximations with solution frontiers obtained with an ε-constraint implementation. |
Year | DOI | Venue |
---|---|---|
2013 | 10.1287/trsc.1120.0437 | Transportation Science |
Keywords | Field | DocType |
school buses,longest route,min-max vehicle,min-max vrp,classical vrp,min-max criterion,vrp literature,total distance,rural areas,problem vrp,solution method,bi-objective bus routing,solution procedure,vehicle routing problem,metaheuristics,routing,optimization | Mathematical optimization,Vehicle routing problem,Sorting,Multi-objective optimization,Minification,Bus routing,Operational costs,Mathematics,Operations management,Tabu search,Metaheuristic | Journal |
Volume | Issue | ISSN |
47 | 3 | 0041-1655 |
Citations | PageRank | References |
8 | 0.48 | 53 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Joaquín Pacheco | 1 | 102 | 9.38 |
Rafael Caballero | 2 | 254 | 16.97 |
Manuel Laguna | 3 | 1452 | 131.93 |
Julián Molina Luque | 4 | 166 | 10.24 |