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Flexibility design in loss and queueing systems: efficiency of k-chain configuration

Author

Listed:
  • Jingui Xie

    (University of Science and Technology of China)

  • Yiming Fan

    (University of Science and Technology of China)

  • Mabel C. Chou

    (National University of Singapore)

Abstract

Process flexibility has altered operations in manufacturing and service companies significantly. For instance, auto-mobile manufacturers use flexible production systems to meet uncertain demands effectively, and workforce flexible systems with cross-training are presently common in service industries. This paper studies k-chain configuration in both loss systems and queueing systems. We derive performance measures such as percent of customers loss and average customer waiting time. In the symmetric case, we numerically test the effects of k , system size and traffic intensity on flexibility design. The major conclusion is that 2-chain is no longer effective in loss systems although it still performs well in queueing systems.

Suggested Citation

  • Jingui Xie & Yiming Fan & Mabel C. Chou, 2017. "Flexibility design in loss and queueing systems: efficiency of k-chain configuration," Flexible Services and Manufacturing Journal, Springer, vol. 29(2), pages 286-308, June.
  • Handle: RePEc:spr:flsman:v:29:y:2017:i:2:d:10.1007_s10696-016-9251-9
    DOI: 10.1007/s10696-016-9251-9
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    References listed on IDEAS

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    1. Jaakko Peltokorpi & Henri Tokola & Esko Niemi, 2015. "Worker coordination policies in parallel station systems: performance models for a set of jobs and for continuous arrival of jobs," International Journal of Production Research, Taylor & Francis Journals, vol. 53(6), pages 1625-1641, March.
    2. Antoine Désir & Vineet Goyal & Yehua Wei & Jiawei Zhang, 2016. "Sparse Process Flexibility Designs: Is the Long Chain Really Optimal?," Operations Research, INFORMS, vol. 64(2), pages 416-431, April.
    3. Wallace J. Hopp & Seyed M. R. Iravani & Biying Shou, 2005. "Serial Agile Production Systems with Automation," Operations Research, INFORMS, vol. 53(5), pages 852-866, October.
    4. Arie Harel, 1990. "Convexity Properties of the Erlang Loss Formula," Operations Research, INFORMS, vol. 38(3), pages 499-505, June.
    5. Ivo Adan & Gideon Weiss, 2012. "Exact FCFS Matching Rates for Two Infinite Multitype Sequences," Operations Research, INFORMS, vol. 60(2), pages 475-489, April.
    6. Sennott, Linn I. & Van Oyen, Mark P. & Iravani, Seyed M.R., 2006. "Optimal dynamic assignment of a flexible worker on an open production line with specialists," European Journal of Operational Research, Elsevier, vol. 170(2), pages 541-566, April.
    7. William C. Jordan & Stephen C. Graves, 1995. "Principles on the Benefits of Manufacturing Process Flexibility," Management Science, INFORMS, vol. 41(4), pages 577-594, April.
    8. Seyed M. R. Iravani & John A. Buzacott & Morton J. M. Posner, 2003. "Operations and Shipment Scheduling of a Batch on a Felxible Machine," Operations Research, INFORMS, vol. 51(4), pages 585-601, August.
    9. Tianhu Deng & Zuo-Jun Max Shen, 2013. "Process Flexibility Design in Unbalanced Networks," Manufacturing & Service Operations Management, INFORMS, vol. 15(1), pages 24-32, April.
    10. Mabel C. Chou & Geoffrey A. Chua & Chung-Piaw Teo & Huan Zheng, 2010. "Design for Process Flexibility: Efficiency of the Long Chain and Sparse Structure," Operations Research, INFORMS, vol. 58(1), pages 43-58, February.
    11. David Simchi-Levi & Yehua Wei, 2015. "Worst-Case Analysis of Process Flexibility Designs," Operations Research, INFORMS, vol. 63(1), pages 166-185, February.
    12. Stephen C. Graves & Brian T. Tomlin, 2003. "Process Flexibility in Supply Chains," Management Science, INFORMS, vol. 49(7), pages 907-919, July.
    13. Chou, Mabel C. & Chua, Geoffrey A. & Teo, Chung-Piaw, 2010. "On range and response: Dimensions of process flexibility," European Journal of Operational Research, Elsevier, vol. 207(2), pages 711-724, December.
    14. Seyed M. R. Iravani & Vijayalakshmi Krishnamurthy, 2007. "Workforce Agility in Repair and Maintenance Environments," Manufacturing & Service Operations Management, INFORMS, vol. 9(2), pages 168-184, January.
    15. Seyed M. Iravani & Mark P. Van Oyen & Katharine T. Sims, 2005. "Structural Flexibility: A New Perspective on the Design of Manufacturing and Service Operations," Management Science, INFORMS, vol. 51(2), pages 151-166, February.
    16. Xuan Wang & Jiawei Zhang, 2015. "Process Flexibility: A Distribution-Free Bound on the Performance of k -Chain," Operations Research, INFORMS, vol. 63(3), pages 555-571, June.
    17. S.M.R. Iravani & J.A. Buzacott & M.J.M. Posner, 2005. "A robust policy for serial agile production systems," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(1), pages 58-73, February.
    18. David Simchi-Levi & Yehua Wei, 2012. "Understanding the Performance of the Long Chain and Sparse Designs in Process Flexibility," Operations Research, INFORMS, vol. 60(5), pages 1125-1141, October.
    19. Xi Chen & Jiawei Zhang & Yuan Zhou, 2015. "Optimal Sparse Designs for Process Flexibility via Probabilistic Expanders," Operations Research, INFORMS, vol. 63(5), pages 1159-1176, October.
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