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Cyclic scheduling for F.M.S.: Modelling and evolutionary solving approach

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  • Hsu, Tiente
  • Korbaa, Ouajdi
  • Dupas, Rémy
  • Goncalves, Gilles

Abstract

This paper concerns the domain of flexible manufacturing systems (FMS) and focuses on the scheduling problems encountered in these systems. We have chosen the cyclic behaviour to study this problem, to reduce its complexity. This cyclic scheduling problem, whose complexity is NP-hard in the general case, aims to minimise the work in process (WIP) to satisfy economic constraints. We first recall and discuss the best known cyclic scheduling heuristics. Then, we present a two-step resolution approach. In the first step, a performance analysis is carried out; it is based on the Petri net modelling of the production process. This analysis resolves some indeterminism due to the system's flexibility and allows a lower bound of the WIP to be obtained. In the second step, after a formal model of the scheduling problem has been given, we describe a genetic algorithm approach to find a schedule which can reach the optimal production speed while minimizing the WIP. Finally, our genetic approach is validated and compared with known heuristics on a set of test problems.

Suggested Citation

  • Hsu, Tiente & Korbaa, Ouajdi & Dupas, Rémy & Goncalves, Gilles, 2008. "Cyclic scheduling for F.M.S.: Modelling and evolutionary solving approach," European Journal of Operational Research, Elsevier, vol. 191(2), pages 464-484, December.
    • Handle: RePEc:eee:ejores:v:191:y:2008:i:2:p:464-484
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    Cited by:

    1. Naveen Kumar & Pankaj Chandna & Dheeraj Joshi, 2017. "Integrated scheduling of part and tool in a flexible manufacturing system using modified genetic algorithm," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 8(2), pages 1596-1607, November.
    2. Olfa Fakhfakh & Armand Toguyeni & Ouajdi Korbaa, 2018. "On-line fault diagnosis of FMS based on flows analysis," Journal of Intelligent Manufacturing, Springer, vol. 29(8), pages 1891-1904, December.

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