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The Optimality of Unbalancing Both Workloads and Machine Group Sizes in Closed Queueing Networks of Multiserver Queues

Author

Listed:
  • Kathryn E. Stecke

    (The University of Michigan, Ann Arbor, Michigan)

  • James J. Solberg

    (Purdue University, West Lafayette, Indiana)

Abstract

Using a closed queueing network model, we explore the consequences of varying workloads among multiserver queues that may be of unequal size. In addition, we solve the problem of assigning servers of similar types to the queues in the network to maximize expected throughput.We show that (1) unbalanced configurations of assigned servers are superior to balanced ones, and (2) unbalanced workloads are better than balanced ones. We find that there can be significant differences in system throughput from balanced versus unbalanced configurations/workloads. Finally, we discuss applications to planning problems of flexible manufacturing systems.

Suggested Citation

  • Kathryn E. Stecke & James J. Solberg, 1985. "The Optimality of Unbalancing Both Workloads and Machine Group Sizes in Closed Queueing Networks of Multiserver Queues," Operations Research, INFORMS, vol. 33(4), pages 882-910, August.
    • Handle: RePEc:inm:oropre:v:33:y:1985:i:4:p:882-910
    DOI: 10.1287/opre.33.4.882
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    Citations

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    Cited by:

    1. Benjaafar, Saifallah, 1996. "Modeling and analysis of machine sharing in manufacturing systems," European Journal of Operational Research, Elsevier, vol. 91(1), pages 56-73, May.
    2. repec:dgr:rugsom:01a58 is not listed on IDEAS
    3. Nha-Nghi Cruz & Hans Daduna, 2019. "Optimal capacity allocation in a production–inventory system with base stock," Annals of Operations Research, Springer, vol. 277(2), pages 329-344, June.
    4. Koltai, Tamas & Lozano, Sebastian, 1998. "Sensitivity calculation of the throughput of an FMS with respect to the routing mix using perturbation analysis," European Journal of Operational Research, Elsevier, vol. 105(3), pages 483-493, March.
    5. Benjaafar, Saifallah, 1995. "Performance bounds for the effectiveness of pooling in multi-processing systems," European Journal of Operational Research, Elsevier, vol. 87(2), pages 375-388, December.
    6. Xiuli Chao & Liming Liu & Shaohui Zheng, 2003. "Resource Allocation in Multisite Service Systems with Intersite Customer Flows," Management Science, INFORMS, vol. 49(12), pages 1739-1752, December.
    7. Slomp, Jannes & Zee, Durk-Jouke van der, 2001. "Flexible automation and the loss of pooling synergy," Research Report 01A58, University of Groningen, Research Institute SOM (Systems, Organisations and Management).
    8. Rajagopalan, S. & Yu, Hung-Liang, 2001. "Capacity planning with congestion effects," European Journal of Operational Research, Elsevier, vol. 134(2), pages 365-377, October.
    9. Subba Rao, S. & Gunasekaran, A. & Goyal, S. K. & Martikainen, T., 1998. "Waiting line model applications in manufacturing," International Journal of Production Economics, Elsevier, vol. 54(1), pages 1-28, January.
    10. Sawik, Tadeusz, 1998. "A lexicographic approach to bi-objective loading of a flexible assembly system," European Journal of Operational Research, Elsevier, vol. 107(3), pages 656-668, June.
    11. Refael Hassin & Yair Y. Shaki & Uri Yovel, 2015. "Optimal service‐capacity allocation in a loss system," Naval Research Logistics (NRL), John Wiley & Sons, vol. 62(2), pages 81-97, March.
    12. Suri Gurumurthi & Saif Benjaafar, 2004. "Modeling and analysis of flexible queueing systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 51(5), pages 755-782, August.
    13. J. Smith, 2015. "Optimal workload allocation in closed queueing networks with state dependent queues," Annals of Operations Research, Springer, vol. 231(1), pages 157-183, August.

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