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Batch service systems with heterogeneous servers

Author

Listed:
  • Jan-Kees Ommeren

    (University of Twente)

  • Niek Baer

    (University of Twente)

  • Nishant Mishra

    (Center for Operations Research and Econometrics, UCLouvain)

  • Debjit Roy

    (Indian Institute of Management Ahmedabad)

Abstract

Bulk-service multi-server queues with heterogeneous server capacity and thresholds are commonly seen in several situations such as passenger transport or package delivery services. In this paper, we develop a novel decomposition-based solution approach for such queues using arguments from renewal theory. We then obtain the distribution of the waiting time measure for multi-type server systems. We also obtain other useful performance measures such as utilization, expected throughput time, and expected queue lengths.

Suggested Citation

  • Jan-Kees Ommeren & Niek Baer & Nishant Mishra & Debjit Roy, 2020. "Batch service systems with heterogeneous servers," Queueing Systems: Theory and Applications, Springer, vol. 95(3), pages 251-269, August.
    • Handle: RePEc:spr:queues:v:95:y:2020:i:3:d:10.1007_s11134-020-09654-y
    DOI: 10.1007/s11134-020-09654-y
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    References listed on IDEAS

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    1. Samuli Aalto, 2000. "Optimal control of batch service queues with finite service capacity and linear holding costs," Mathematical Methods of Operations Research, Springer;Gesellschaft für Operations Research (GOR);Nederlands Genootschap voor Besliskunde (NGB), vol. 51(2), pages 263-285, April.
    2. K. L. Arora, 1964. "Two-Server Bulk-Service Queuing Process," Operations Research, INFORMS, vol. 12(2), pages 286-294, April.
    3. Nishant Mishra & Debjit Roy & Jan-Kees van Ommeren, 2017. "A Stochastic Model for Interterminal Container Transportation," Transportation Science, INFORMS, vol. 51(1), pages 67-87, February.
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    Cited by:

    1. Yacov Satin & Rostislav Razumchik & Ivan Kovalev & Alexander Zeifman, 2023. "Ergodicity and Related Bounds for One Particular Class of Markovian Time—Varying Queues with Heterogeneous Servers and Customer’s Impatience," Mathematics, MDPI, vol. 11(9), pages 1-15, April.

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