An optimization approach for the job shop scheduling problem

  • Authors:
  • Jorge Magalháes-Mendes

  • Affiliations:
  • Department of Civil Engineering, School of Engineering, Polytechnic of Porto, Porto, Portugal

  • Venue:
  • MATH'09 Proceedings of the 14th WSEAS International Conference on Applied mathematics
  • Year:
  • 2009

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Abstract

This paper presents an optimization approach for the job shop scheduling problem (JSSP). The JSSP is a difficult problem in combinatorial optimization for which extensive investigation has been devoted to the development of efficient algorithms. The proposed approach is based on a genetic algorithm technique. The scheduling rules such as SPT and MWKR are integrated into the process of genetic evolution. The chromosome representation of the problem is based on random keys. The schedules are constructed using a priority rule in which the priorities and delay times of the operations are defined by the genetic algorithm. Schedules are constructed using a procedure that generates parameterized active schedules. After a schedule is obtained a local search heuristic is applied to improve the solution. The approach is tested on a set of standard instances taken from the literature and compared with other approaches. The computation results validate the effectiveness of the proposed approach.