Abstract
The NP-hard Capacitated Arc Routing Problem (CARP) allows to model urban waste collection or road gritting, for instance. Exact algorithms are still limited to small problems and metaheuristics are required for large scale instances. The paper presents the first genetic algorithm (GA) published for the CARP. This hybrid GA tackles realistic extensions like mixed graphs or prohibited turns. It displays excellent results and outperforms the best metaheuristics published when applied to two standard sets of benchmarks: the average deviations to lower bounds are 0.24 % and 0.69 % respectively, a majority of instances are solved to optimality, and eight best known solutions are improved.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
B.L. Golden, R.T. Wong, Capacitated arc routing problems, Networks, 11, 305–315, 1981.
E. Benavent, V. Campos, A. Corberan, E. Mota, The capacitated arc routing problem: lower bounds, Networks, 22, 669–690, 1992.
J.M. Belenguer, E. Benavent,A cutting plane algorithm for the capacitated arc routing problem, Research Report, Dept. of Statistics and OR, Univ. of Valencia (Spain), 1997.
R. Hirabayashi, Y. Saruwatari, N. Nishida, Tour construction algorithm for the capacitated arc routing problem, Asia-Pacific Journal of Oper. Res., 9, 155–175, 1992.
W.L. Pearn, Approximate solutions for the capacitated arc routing problem, Computers and Operations Research, 16(6), 589–600, 1989.
W.L. Pearn, Augment-insert algorithms for the capacitated arc routing problem, Computers and Operations Research, 18(2), 189–198, 1991.
B.L. Golden, J.S DeArmon, E.K. Baker, Computational experiments with algorithms for a class of routing problems, Computers and Operation Research, 10(1), 47–59, 1983.
G. Ulusoy, The Fleet Size and Mixed Problem for Capacitated Arc Routing, European Journal of Operational Research, 22, 329–337, 1985.
L.Y.O. Li, Vehicle routing for winter gritting. Ph.D. dissertation, Department of OR and OM, Lancaster University, Lancaster, UK, 1992.
R.W. Eglese, Routing winter gritting vehicles, DAM, 48(3), 231–244, 1994.
A. Hertz, G. Laporte, M. Mittaz, A Tabu Search Heuristic for the Capacitated Arc Routing Problem, Operations Research, 48(1), 129–135, 2000.
J.S. DeArmon, A Comparison of Heuristics for the Capacitated Chinese Postman Problem, Master’s Thesis, The University of Maryland at College Park, MD, USA, 1981.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2001 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Lacomme, P., Prins, C., Ramdane-Chérif, W. (2001). A Genetic Algorithm for the Capacitated Arc Routing Problem and Its Extensions. In: Boers, E.J.W. (eds) Applications of Evolutionary Computing. EvoWorkshops 2001. Lecture Notes in Computer Science, vol 2037. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45365-2_49
Download citation
DOI: https://doi.org/10.1007/3-540-45365-2_49
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-41920-4
Online ISBN: 978-3-540-45365-9
eBook Packages: Springer Book Archive