Multi-objective vehicle routing problems

Routing problems, such as the traveling salesman problem and the vehicle routing problem, are widely studied both because of their classic academic appeal and their numerous real-life applications. Similarly, the field of multi-objective optimization is attracting more and more attention, notably because it offers new opportunities for defining problems. This article surveys the existing research related to multi-objective optimization in routing problems. It examines routing problems in terms of their definitions, their objectives, and the multi-objective algorithms proposed for solving them.

[1]  Nicolas Jozefowiez,et al.  Enhancements of NSGA II and Its Application to the Vehicle Routing Problem with Route Balancing , 2005, Artificial Evolution.

[2]  Andrzej Jaszkiewicz,et al.  Genetic local search for multi-objective combinatorial optimization , 2022 .

[3]  Philippe Lacomme,et al.  A genetic algorithm for a bi-objective capacitated arc routing problem , 2006, Comput. Oper. Res..

[4]  Michael Pilegaard Hansen Use of Substitute Scalarizing Functions to Guide a Local Search Based Heuristic: The Case of moTSP , 2000, J. Heuristics.

[5]  Nicolas Jozefowiez,et al.  Parallel and Hybrid Models for Multi-objective Optimization: Application to the Vehicle Routing Problem , 2002, PPSN.

[6]  I-Ming Chao,et al.  A tabu search method for the truck and trailer routing problem , 2002, Comput. Oper. Res..

[7]  Santosh S. Vempala,et al.  New Approximation Guarantees for Minimum-Weight k-Trees and Prize-Collecting Salesmen , 1999, SIAM J. Comput..

[8]  Kay Chen Tan,et al.  A hybrid multi-objective evolutionary algorithm for solving truck and trailer vehicle routing problems , 2006, Eur. J. Oper. Res..

[9]  Tadahiko Murata,et al.  Local Search in Two-Fold EMO Algorithm to Enhance Solution Similarity for Multi-objective Vehicle Routing Problems , 2006, EMO.

[10]  S. Morito,et al.  AN ALGORITHM FOR SINGLE CONSTRAINT MAXIMUM COLLECTION PROBLEM , 1988 .

[11]  Kostas Zografos,et al.  A heuristic algorithm for solving hazardous materials distribution problems , 2004, Eur. J. Oper. Res..

[12]  Gilbert Laporte,et al.  A Covering Tour Model for Planning Mobile Health Care Facilities in SuhumDistrict, Ghama , 1998 .

[13]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems (Genetic and Evolutionary Computation) , 2006 .

[14]  Richard F. Hartl,et al.  Pareto Ant Colony Optimization: A Metaheuristic Approach to Multiobjective Portfolio Selection , 2004, Ann. Oper. Res..

[15]  Yang-Byung Park,et al.  An interactive computerized algorithm for multicriteria vehicle routing problems , 1989 .

[16]  Kalyanmoy Deb,et al.  Multi-objective optimization using evolutionary algorithms , 2001, Wiley-Interscience series in systems and optimization.

[17]  Ioannis Giannikos,et al.  A multiobjective programming model for locating treatment sites and routing hazardous wastes , 1998 .

[18]  Thomas Stützle,et al.  Pareto Local Optimum Sets in the Biobjective Traveling Salesman Problem: An Experimental Study , 2004, Metaheuristics for Multiobjective Optimisation.

[19]  Gary B. Lamont,et al.  Evolutionary Algorithms for Solving Multi-Objective Problems , 2002, Genetic Algorithms and Evolutionary Computation.

[20]  Tzong-Ru Lee,et al.  A study of vehicle routing problems with load‐balancing , 1999 .

[21]  E. L. Ulungu,et al.  MOSA method: a tool for solving multiobjective combinatorial optimization problems , 1999 .

[22]  Richard F. Hartl,et al.  Ant Colony Optimization in Multiobjective Portfolio Selection , 2001 .

[23]  F. Maffioli,et al.  On prize-collecting tours and the asymmetric travelling salesman problem , 1995 .

[24]  M. Goodchild,et al.  The Multiobjective Vending Problem: A Generalization of the Travelling Salesman Problem , 1988 .

[25]  Michel Gendreau,et al.  Traveling Salesman Problems with Profits , 2005, Transp. Sci..

[26]  Nicolas Jozefowiez,et al.  A MULTI-OBJECTIVE EVOLUTIONARY ALGORITHM FOR THE COVERING TOUR PROBLEM , 2004 .

[27]  Joaquín A. Pacheco,et al.  Tabu search for a multi-objective routing problem , 2006, J. Oper. Res. Soc..

[28]  A. M. Geoffrion Proper efficiency and the theory of vector maximization , 1968 .

[29]  Beatrice M. Ombuki-Berman,et al.  Multi-Objective Genetic Algorithms for Vehicle Routing Problem with Time Windows , 2006, Applied Intelligence.

[30]  Michel Gendreau,et al.  The Covering Tour Problem , 1997, Oper. Res..

[31]  Kazuho Yoshimoto,et al.  納期に対する満足度を考慮した多目的配送計画に関する研究 : Hybrid GAを用いたパレート最適集合の生成 , 1998 .

[32]  Helena Ramalhinho-Lourenço,et al.  A Multi-Objective Model For A Multi-Period Distribution Management Problem , 2001 .

[33]  Marius M. Solomon,et al.  Algorithms for the Vehicle Routing and Scheduling Problems with Time Window Constraints , 1987, Oper. Res..

[34]  Benjamín Barán,et al.  A Multiobjective Ant Colony System for Vehicle Routing Problem with Time Windows , 2003, Applied Informatics.

[35]  Yang-Byung Park,et al.  A heuristic for bi-objective vehicle routing with time window constraints , 1999 .

[36]  Magalie Mourgaya Virapatrin The periodic vehicle routing problem : planning before routing , 2004 .

[37]  Systems Man Ieee 1995 IEEE International Conference on Systems, Man and Cybernetics , 1995 .

[38]  J. A. Mesa,et al.  Multiobjective routing problems , 1995 .

[39]  Lishan Kang,et al.  A New MOEA for Multi-objective TSP and Its Convergence Property Analysis , 2003, EMO.

[40]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[41]  J. Current,et al.  The median tour and maximal covering tour problems: Formulations and heuristics , 1994 .

[42]  H. Kunzi,et al.  Lectu re Notes in Economics and Mathematical Systems , 1975 .

[43]  Nicolas Jozefowiez,et al.  Target aiming Pareto search and its application to the vehicle routing problem with route balancing , 2007, J. Heuristics.

[44]  Loo Hay Lee,et al.  Vehicle capacity planning system: a case study on vehicle routing problem with time windows , 2003, IEEE Trans. Syst. Man Cybern. Part A.

[45]  Karl F. Doerner,et al.  Multicriteria tour planning for mobile healthcare facilities in a developing country , 2007, Eur. J. Oper. Res..

[46]  Kay Chen Tan,et al.  A Hybrid Multiobjective Evolutionary Algorithm for Solving Vehicle Routing Problem with Time Windows , 2003, Comput. Optim. Appl..

[47]  Evripidis Bampis,et al.  Approximating the Pareto curve with local search for the bicriteria TSP(1, 2) problem , 2004, Theor. Comput. Sci..

[48]  Yang Byung Park,et al.  A solution of vehicle routing problems in a multiple objective environment , 1986 .

[49]  Martin Josef Geiger,et al.  Genetic Algorithms for multiple objective vehicle routing , 2008, ArXiv.

[50]  Charles Sutcliffe,et al.  Optimal Solution of a Vehicle-routeing Problem: Transporting Mentally Handicapped Adults to an Adult Training Centre , 1990 .

[51]  Egon Balas,et al.  The prize collecting traveling salesman problem , 1989, Networks.

[52]  Paul H. Calamai,et al.  A multi-objective optimization approach to urban school bus routing: Formulation and solution method , 1995 .

[53]  Juan José Salazar González,et al.  The biobjective travelling purchaser problem , 2005, Eur. J. Oper. Res..

[54]  Ángel Corberán,et al.  Heuristic solutions to the problem of routing school buses with multiple objectives , 2002, J. Oper. Res. Soc..

[55]  Darren M. Chitty,et al.  A Hybrid Ant Colony Optimisation Technique for Dynamic Vehicle Routing , 2004, GECCO.

[56]  Weiqi Li Finding Pareto-Optimal Set by Merging Attractors for a Bi-objective Traveling Salesmen Problem , 2005, EMO.

[57]  Gilbert Laporte,et al.  The selective travelling salesman problem , 1990, Discret. Appl. Math..

[58]  Nicolas Jozefowiez,et al.  The bi-objective covering tour problem , 2007, Comput. Oper. Res..

[59]  Gilbert Laporte,et al.  Heuristics for the multi-vehicle covering tour problem , 2000, Comput. Oper. Res..