Tests with two heuristic search strategies in the simulated annealing algorithm for an inventory problem

Authors

  • Salvador Hernández González Technological Institute of Celaya

DOI:

https://doi.org/10.17533/udea.redin.11779

Keywords:

metaheuristics, simulated annealing, inventory, experimental design

Abstract

The problem in the results when implemented metaheuristics techniques to solve instances of the problem of multi-product replenishment is the deterioration of the quality of the solution. It was noted that the implementations have focused on the parameters of the algorithm paying little attention to the strategy to access the neighboring solution. In this paper, we study experimentally an implementation of Simulated Annealing algorithm exploring several combinations of parameters and also, two schemes for obtaining the neighbor solution by comparison with the RAND algorithm. A 2-factorial experimental design was constructed and the study was conducted over 2.000 randomly generated instances, the results show that under the same combinations of parameters, perturbing a variable at a time provides poor results, however, to access the neighbor solution taking into account families of products provides better results and Simulated Annealing algorithm behaves robust against the increase in the size of the problem.

|Abstract
= 118 veces | PDF (ESPAÑOL (ESPAÑA))
= 59 veces|

Downloads

Download data is not yet available.

Author Biography

Salvador Hernández González, Technological Institute of Celaya

Department of Industrial Engineering.

References

S. Goyal. “Determination of optimum packaging frequency for items jointly replenished”. Management Science. Vol. 21. 1974. pp. 436-443. DOI: https://doi.org/10.1287/mnsc.21.4.436

E. Silver. “A simple method of determining order quantities in joint replenishments under deterministic demand”. Management Science. Vol. 22. 1976. pp. 1351-1361. DOI: https://doi.org/10.1287/mnsc.22.12.1351

M. Khouja, S. Goyal. “A review of the joint replenishment problem literature: 1989–2005”. European Journal of Operational Research. Vol. 186. 2008. pp. 1- 16. DOI: https://doi.org/10.1016/j.ejor.2007.03.007

M. Kaspi, M. Rosenblatt. “An improvement of Silver’s algorithm for the joint replenishment problem”. IIE Transactions. Vol. 15. 1983. pp. 264-267. DOI: https://doi.org/10.1080/05695558308974644

A. Nilsson, A. Segersted, E. van der Sluis. “A new iterative heuristic to solve the joint replenishment problem using a spreadsheet technique”. International Journal of Production Economics. Vol. 108. 2007. pp. 399 - 405. DOI: https://doi.org/10.1016/j.ijpe.2006.12.022

A. Nisson, E. Silver. “A simple improvement on Silver’s heuristic for the joint replenishment problem”. Journal of the Operational Research Society. Vol. 59. 2008. pp. 1415-1421. DOI: https://doi.org/10.1057/palgrave.jors.2602446

M. Khouja, Z. Michalewicz, S. Satoskar. “A comparison between genetic algorithms and the RAND method for solving the joint replenishment problem”. Production, planning and control. Vol. 11. 2000. pp. 556-564. DOI: https://doi.org/10.1080/095372800414115

A. Olsen. “An evolutionary algorithm to solve the joint replenishment problem using direct grouping”. Computers and Industrial Engineering. Vol. 48. 2005. pp. 223-235. DOI: https://doi.org/10.1016/j.cie.2005.01.010

M. Yoo, L. Lin. “A new solution method for the joint replenishment problem”. International Journal of Manufacturing Technology and Management. Vol. 16. 2009. pp. 166 - 175. DOI: https://doi.org/10.1504/IJMTM.2009.021508

H. Hoos, T. Stützle. Stochastic local search: foundations and applications. 1a ed. Ed. SpringerVerlag. San Francisco, CA. 2005. pp. 61 - 74. DOI: https://doi.org/10.1016/B978-155860872-6/50019-6

S. Kirkpatrick, C. Gellat, M. Vecci. “Optimization by simulated annealing”. Science. Vol. 220. 1983. pp. 671-680. DOI: https://doi.org/10.1126/science.220.4598.671

R. Myers, D. Montgomery. Response surface methodology: process and product optimization using designed experiments. Ed. John Wiley & Sons. New Jersey. 2002. pp. 73 - 113.

Published

2012-05-17

How to Cite

Hernández González, S. (2012). Tests with two heuristic search strategies in the simulated annealing algorithm for an inventory problem. Revista Facultad De Ingeniería Universidad De Antioquia, (62), 33–43. https://doi.org/10.17533/udea.redin.11779