Abstract
In this paper, we describe a genetic algorithm and compare three crossover operators for Rural Postman Problem with Time Windows (RPPTW). The RPPTW which is a multiobjective optimization problem, is an extension of Rural Postman Problem (RPP) in which some service places (located at edge) require service time windows that consist of earliest time and latest time. To solve the RPPTW which is a multiobjective optimization problem, we obtain a Pareto-optimal set that the superiority of each objective can not be compared. We perform experiments using three crossovers for 12 randomly generated test problems and compare the results. The crossovers using in this paper are Partially Matched Exchange (PMX), Order Exchange (OX), and Modified Order Exchange (MOX) which has been modified from the OX. For each test problem, the results show the efficacy of MOX method for RPPTW.
This is a preview of subscription content, log in via an institution to check access.
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
Azevedo, J. A. & Martins, E. Q. V., 1991, An Algorithm for the Multiobjective Shortest Path Problem on Acyclic Networks, Investigacao Operational, Vol. 11, No. 1.
Fonseca, C. M. and Fleming, P. J., 1993, Genetic Algorithms for Multiobjective Optimization: Formulation, Discussion and Generalization, Proceedings of the Fifth International Conference.
Goldberg, D. E., 1989, GENETIC ALGORITHMS in Search, Optimization & Machine Learning, Addison Wesley.
Kang, M. J. and Han, C. G., 199G, A Genetic Algorithm for the Rural Postman Problem with Time Windows, Proceedings of 20th International Conference on Computer & Industrial Engineering, pp. 321-324.
Lenstra, J. K. and Rinooy Kan, A. H. G., 1976, On General Routing Problems, Network, Vol. 6, pp. 273–280.
Makowski, M., Somlyody, L. & Watkins, D., Multiple, 1995, Criteria Analysis for Regional Water Quality Management: The Nitra River Case, IIASA.
Michalewicz, Z., 1994, Genetic Algorithms + Data Structures = Evolution Programs, 2rd rev. and extended ed. Springer-Verlag, Berlin, Heidelberg.
Thangiah, S. R., 1995, Vehicle Routing with Time Windows using Genetic Algorithms, Practical Handbook of GENETIC vol. 2, ALGORITHMS, CRC Press.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1998 Springer-Verlag London
About this paper
Cite this paper
Kang, MJ., Han, CG. (1998). Comparison of Crossover Operators for Rural Postman Problem with Time Windows. In: Chawdhry, P.K., Roy, R., Pant, R.K. (eds) Soft Computing in Engineering Design and Manufacturing. Springer, London. https://doi.org/10.1007/978-1-4471-0427-8_28
Download citation
DOI: https://doi.org/10.1007/978-1-4471-0427-8_28
Publisher Name: Springer, London
Print ISBN: 978-3-540-76214-0
Online ISBN: 978-1-4471-0427-8
eBook Packages: Springer Book Archive