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Analysis of two-station polling queues with setups

Author

Listed:
  • Ravi Suman

    (University of Wisconsin-Madison)

  • Ananth Krishnamurthy

    (Indian Institute of Management Bangalore)

Abstract

The paper analyzes the performance of tandem network of polling queue with setups. For a system with two-products and two-stations, we propose a new approach based on a partially-collapsible state-space characterization to reduce state-space complexity. In this approach, the size of the state-space is varied depending on the information needed to determine buffer levels and waiting times. We evaluate system performance under different system setting and comment on the numerical accuracy of the approach as well as provide managerial insights. Numerical results show that approach yields reliable estimates of the performance measures. We also show how product and station asymmetry significantly affect the systems performance.

Suggested Citation

  • Ravi Suman & Ananth Krishnamurthy, 2024. "Analysis of two-station polling queues with setups," Annals of Operations Research, Springer, vol. 333(1), pages 417-437, February.
    • Handle: RePEc:spr:annopr:v:333:y:2024:i:1:d:10.1007_s10479-023-05768-7
    DOI: 10.1007/s10479-023-05768-7
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    References listed on IDEAS

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    1. Martin Eisenberg, 1972. "Queues with Periodic Service and Changeover Time," Operations Research, INFORMS, vol. 20(2), pages 440-451, April.
    2. Robert B. Cooper & Shun-Chen Niu & Mandyam M. Srinivasan, 1996. "A Decomposition Theorem for Polling Models: The Switchover Times are Effectively Additive," Operations Research, INFORMS, vol. 44(4), pages 629-633, August.
    3. Otis B. Jennings, 2008. "Heavy-Traffic Limits of Queueing Networks with Polling Stations: Brownian Motion in a Wedge," Mathematics of Operations Research, INFORMS, vol. 33(1), pages 12-35, February.
    4. S. C. Borst & O. J. Boxma, 1997. "Polling Models With and Without Switchover Times," Operations Research, INFORMS, vol. 45(4), pages 536-543, August.
    Full references (including those not matched with items on IDEAS)

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