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Performance of priority rules in a due date flow shop

Author

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  • Hunsucker, J. L.
  • Shah, J. R.

Abstract

The scheduling of a flow shop with multiple processors at one or more stages is a generalized case of the basic flow shop problem. It involves the sequencing of n jobs in a flow shop where more than one identical machine at a machine stage is allowable. The constrained flow shop with multiple processors problem (CFSMP) is a special case of the flow shop with multiple processors problem, in which the total number of jobs that can concurrently exist in the system is limited to a pre-specified number. The purpose of this study is to evaluate the performance of six priority rules under different congestion levels in the system for two measures of performance, namely, mean tardiness and number of tardy jobs. A dynamic simulation model of the constrained flow shop with multiple processors has been developed. The priority rules considered in the study are localized procedures. However, the queuing priorities for sequencing the jobs in the simulation model are established dynamically at each processing stage. The results of the study provide conclusive evidence of the superiority of the first-in-first-out priority rule for the mean tardiness criterion. However, for the number of tardy jobs criterion, clear superiority of a particular priority rule is not established. It is found that different priority rules yield good performances for different congestion levels in the system. Thus, the study provides general guidelines for using a particular priority rule for the number of tardy jobs criterion depending upon the system parameters.

Suggested Citation

  • Hunsucker, J. L. & Shah, J. R., 1992. "Performance of priority rules in a due date flow shop," Omega, Elsevier, vol. 20(1), pages 73-89, January.
    • Handle: RePEc:eee:jomega:v:20:y:1992:i:1:p:73-89
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    Citations

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    Cited by:

    1. Botta-Genoulaz, Valerie, 2000. "Hybrid flow shop scheduling with precedence constraints and time lags to minimize maximum lateness," International Journal of Production Economics, Elsevier, vol. 64(1-3), pages 101-111, March.
    2. Bertel, S. & Billaut, J. -C., 2004. "A genetic algorithm for an industrial multiprocessor flow shop scheduling problem with recirculation," European Journal of Operational Research, Elsevier, vol. 159(3), pages 651-662, December.
    3. A. Baykal Hafızoğlu & Esma S. Gel & Pınar Keskinocak, 2013. "Expected Tardiness Computations in Multiclass Priority M / M / c Queues," INFORMS Journal on Computing, INFORMS, vol. 25(2), pages 364-376, May.
    4. Sarper, H. & Henry, M. C., 1996. "Combinatorial evaluation of six dispatching rules in a dynamic two-machine flow shop," Omega, Elsevier, vol. 24(1), pages 73-81, February.
    5. Rajendran, Chandrasekharan & Holthaus, Oliver, 1999. "A comparative study of dispatching rules in dynamic flowshops and jobshops," European Journal of Operational Research, Elsevier, vol. 116(1), pages 156-170, July.
    6. Ruiz, Rubén & Vázquez-Rodríguez, José Antonio, 2010. "The hybrid flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 205(1), pages 1-18, August.
    7. El-Bouri, Ahmed & Balakrishnan, Subramaniam & Popplewell, Neil, 2008. "Cooperative dispatching for minimizing mean flowtime in a dynamic flowshop," International Journal of Production Economics, Elsevier, vol. 113(2), pages 819-833, June.
    8. Santos, D. L. & Hunsucker, J. L. & Deal, D. E., 1995. "Global lower bounds for flow shops with multiple processors," European Journal of Operational Research, Elsevier, vol. 80(1), pages 112-120, January.
    9. Brah, Shaukat A. & Loo, Luan Luan, 1999. "Heuristics for scheduling in a flow shop with multiple processors," European Journal of Operational Research, Elsevier, vol. 113(1), pages 113-122, February.
    10. Néron, Emmanuel & Baptiste, Philippe & Gupta, Jatinder N. D., 2001. "Solving hybrid flow shop problem using energetic reasoning and global operations," Omega, Elsevier, vol. 29(6), pages 501-511, December.

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