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Age-based Markovian approximation of the G/M/1 queue

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  • Benjamin Legros

    (Métis Lab EM Normandie - EM Normandie - École de Management de Normandie, EM Normandie - École de Management de Normandie)

Abstract

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Suggested Citation

  • Benjamin Legros, 2021. "Age-based Markovian approximation of the G/M/1 queue," Post-Print hal-03605431, HAL.
  • Handle: RePEc:hal:journl:hal-03605431
    DOI: 10.1016/j.orl.2021.07.008
    Note: View the original document on HAL open archive server: https://hal.science/hal-03605431
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    References listed on IDEAS

    as
    1. Benjamin Legros, 2016. "Unintended consequences of optimizing a queue discipline for a service level defined by a percentile of the waiting time," Post-Print hal-02065945, HAL.
    2. Z. Justin Ren & Yong-Pin Zhou, 2008. "Call Center Outsourcing: Coordinating Staffing Level and Service Quality," Management Science, INFORMS, vol. 54(2), pages 369-383, February.
    3. Benjamin Legros & Oualid Jouini & Ger Koole, 2018. "A Uniformization Approach for the Dynamic Control of Queueing Systems with Abandonments," Operations Research, INFORMS, vol. 66(1), pages 200-209, January.
    4. Benjamin Legros & Yann Bouchery & Jan C Fransoo, 2019. "A Time-Based Policy for Empty Container Management by Consignees," Post-Print hal-02019993, HAL.
    5. Ke, Jau-Chuan & Wang, Kuo-Hsiung, 2002. "A recursive method for the N policy G/M/1 queueing system with finite capacity," European Journal of Operational Research, Elsevier, vol. 142(3), pages 577-594, November.
    6. Hyun-Soo Ahn & Mark E. Lewis, 2013. "Flexible Server Allocation and Customer Routing Policies for Two Parallel Queues When Service Rates Are Not Additive," Operations Research, INFORMS, vol. 61(2), pages 344-358, April.
    7. Benjamin Legros & Yann Bouchery & Jan Fransoo, 2019. "A Time‐Based Policy for Empty Container Management by Consignees," Production and Operations Management, Production and Operations Management Society, vol. 28(6), pages 1503-1527, June.
    8. G. M. Laslett, 1975. "Characterising the Finite Capacity GI/M/1 Queue with Renewal Output," Management Science, INFORMS, vol. 22(1), pages 106-110, September.
    9. Legros, Benjamin, 2020. "Late-rejection, a strategy to perform an overflow policy," European Journal of Operational Research, Elsevier, vol. 281(1), pages 66-76.
    10. VAN DEN SCHRIECK, Jean-Christophe & AKSIN, Zeynep & CHEVALIER, Philippe, 2014. "Peakedness-based staffing for call center outsourcing," LIDAM Reprints CORE 2569, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    11. Noah Gans & Ger Koole & Avishai Mandelbaum, 2003. "Telephone Call Centers: Tutorial, Review, and Research Prospects," Manufacturing & Service Operations Management, INFORMS, vol. 5(2), pages 79-141, September.
    12. O. Zeynep Akc{s}in & Francis de Véricourt & Fikri Karaesmen, 2008. "Call Center Outsourcing Contract Analysis and Choice," Management Science, INFORMS, vol. 54(2), pages 354-368, February.
    13. Ivo Adan & Onno Boxma & David Perry, 2005. "The G/M/1 queue revisited," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 62(3), pages 437-452, December.
    14. G. M. Koole & B. F. Nielsen & T. B. Nielsen, 2012. "First in Line Waiting Times as a Tool for Analysing Queueing Systems," Operations Research, INFORMS, vol. 60(5), pages 1258-1266, October.
    15. Jean-Christophe Schrieck & Zeynep Akşin & Philippe Chevalier, 2014. "Peakedness-Based Staffing for Call Center Outsourcing," Production and Operations Management, Production and Operations Management Society, vol. 23(3), pages 504-524, March.
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    Cited by:

    1. Benjamin Legros, 2022. "The principal-agent problem for service rate event-dependency," Post-Print hal-03605421, HAL.

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