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Minimizing the Expected Makespan in Stochastic Flow Shops

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  • Michael Pinedo

    (Georgia Institute of Technology, Atlanta, Georgia)

Abstract

The optimization problem of minimizing the completion time in permutation flow shop scheduling is considered under the assumption that the processing times of a job on different machines are independent and identically distributed random variables. Models with and without intermediate storage are considered. Solutions for special cases are found and based on these results a more general rule of thumb is obtained.

Suggested Citation

  • Michael Pinedo, 1982. "Minimizing the Expected Makespan in Stochastic Flow Shops," Operations Research, INFORMS, vol. 30(1), pages 148-162, February.
    • Handle: RePEc:inm:oropre:v:30:y:1982:i:1:p:148-162
    DOI: 10.1287/opre.30.1.148
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    Citations

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    Cited by:

    1. Kamburowski, Jerzy, 1999. "Stochastically minimizing the makespan in two-machine flow shops without blocking," European Journal of Operational Research, Elsevier, vol. 112(2), pages 304-309, January.
    2. Golenko-Ginzburg, Dimitri & Gonik, Aharon, 1997. "Using "look ahead" techniques in job-shop scheduling with random operations," International Journal of Production Economics, Elsevier, vol. 50(1), pages 13-22, May.
    3. J Jackman & Z Guerra de Castillo & S Olafsson, 2011. "Stochastic flow shop scheduling model for the Panama Canal," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(1), pages 69-80, January.
    4. Golenko-Ginzburg, Dimitri & Kesler, Shmuel & Landsman, Zinoviy, 1995. "Industrial job-shop scheduling with random operations and different priorities," International Journal of Production Economics, Elsevier, vol. 40(2-3), pages 185-195, August.
    5. Lee, Kangbok & Zheng, Feifeng & Pinedo, Michael L., 2019. "Online scheduling of ordered flow shops," European Journal of Operational Research, Elsevier, vol. 272(1), pages 50-60.
    6. Yu, Tae-Sun & Pinedo, Michael, 2020. "Flow shops with reentry: Reversibility properties and makespan optimal schedules," European Journal of Operational Research, Elsevier, vol. 282(2), pages 478-490.
    7. S.S. Panwalkar & Christos Koulamas, 2015. "Proportionate flow shop: New complexity results and models with due date assignment," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 98-106, March.
    8. Portougal, Victor & Trietsch, Dan, 2006. "Johnson's problem with stochastic processing times and optimal service level," European Journal of Operational Research, Elsevier, vol. 169(3), pages 751-760, March.
    9. P J Kalczynski & J Kamburowski, 2004. "Generalization of Johnson's and Talwar's scheduling rules in two-machine stochastic flow shops," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 55(12), pages 1358-1362, December.
    10. Gourgand, Michel & Grangeon, Nathalie & Norre, Sylvie, 2003. "A contribution to the stochastic flow shop scheduling problem," European Journal of Operational Research, Elsevier, vol. 151(2), pages 415-433, December.
    11. Opher Baron & Oded Berman & Dmitry Krass & Jianfu Wang, 2017. "Strategic Idleness and Dynamic Scheduling in an Open-Shop Service Network: Case Study and Analysis," Manufacturing & Service Operations Management, INFORMS, vol. 19(1), pages 52-71, February.
    12. Gourgand, Michel & Grangeon, Nathalie & Norre, Sylvie, 2005. "Markovian analysis for performance evaluation and scheduling in m machine stochastic flow-shop with buffers of any capacity," European Journal of Operational Research, Elsevier, vol. 161(1), pages 126-147, February.
    13. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.
    14. Baker, Kenneth R. & Altheimer, Dominik, 2012. "Heuristic solution methods for the stochastic flow shop problem," European Journal of Operational Research, Elsevier, vol. 216(1), pages 172-177.
    15. Charles Du & Michael Pinedo, 1995. "A note on minimizing the expected makespan in flowshops subject to breakdowns," Naval Research Logistics (NRL), John Wiley & Sons, vol. 42(8), pages 1251-1262, December.
    16. Golenko-Ginzburg, Dimitri & Gonik, Aharon, 2002. "Optimal job-shop scheduling with random operations and cost objectives," International Journal of Production Economics, Elsevier, vol. 76(2), pages 147-157, March.
    17. S.S. Panwalkar & Christos Koulamas, 2015. "On equivalence between the proportionate flow shop and single‐machine scheduling problems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(7), pages 595-603, October.
    18. S.S. Panwalkar & Milton L. Smith & Christos Koulamas, 2013. "Review of the ordered and proportionate flow shop scheduling research," Naval Research Logistics (NRL), John Wiley & Sons, vol. 60(1), pages 46-55, February.
    19. Golenko-Ginzburg, Dimitri & Gonik, Aharon, 1997. "Job-shop resource scheduling via simulating random operations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 44(5), pages 427-440.
    20. Kamburowski, Jerzy, 2000. "On three-machine flow shops with random job processing times," European Journal of Operational Research, Elsevier, vol. 125(2), pages 440-448, September.

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