Climbing depth-bounded discrepancy search for solving hybrid flow shop problems

Date
2007
Authors
Hmida, A. B.
Huguet, M.-J.
Lopez, P.
Haouari, M.
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Source Title
European Journal of Industrial Engineering
Print ISSN
1751-5254
Electronic ISSN
1751-5262
Publisher
Inderscience Publishers
Volume
1
Issue
2
Pages
223 - 240
Language
English
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Abstract

This paper investigates how to adapt some discrepancy-based search methods to solve Hybrid Flow Shop (HFS) problems in which each stage consists of several identical machines operating in parallel. The objective is to determine a schedule that minimises the makespan. We present here an adaptation of the Depth-bounded Discrepancy Search (DDS) method to obtain near-optimal solutions with makespan of high quality. This adaptation for the HFS contains no redundancy for the search tree expansion. To improve the solutions of our HFS problem, we propose a local search method, called Climbing Depth-bounded Discrepancy Search (CDDS), which is a hybridisation of two existing discrepancy-based methods: DDS and Climbing Discrepancy Search (CDS). CDDS introduces an intensification process around promising solutions. These methods are tested on benchmark problems. Results show that discrepancy methods give promising results and CDDS method gives the best solutions.

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