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Note--On the Validity of Marginal Analysis for Allocating Servers in M/M/c Queues

Author

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  • M. E. Dyer

    (Teesside Polytechnic, England)

  • L. G. Proll

    (University of Leeds, England)

Abstract

In this note we prove a conjecture of Rolfe concerning the convexity of the expected queueing time formula for an M/M/c queue.

Suggested Citation

  • M. E. Dyer & L. G. Proll, 1977. "Note--On the Validity of Marginal Analysis for Allocating Servers in M/M/c Queues," Management Science, INFORMS, vol. 23(9), pages 1019-1022, May.
    • Handle: RePEc:inm:ormnsc:v:23:y:1977:i:9:p:1019-1022
    DOI: 10.1287/mnsc.23.9.1019
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    Cited by:

    1. Frank Karsten & Marco Slikker & Geert-Jan van Houtum, 2015. "Resource Pooling and Cost Allocation Among Independent Service Providers," Operations Research, INFORMS, vol. 63(2), pages 476-488, April.
    2. Zhang, Xuelu & Wang, Jinting & Do, Tien Van, 2015. "Threshold properties of the M/M/1 queue under T-policy with applications," Applied Mathematics and Computation, Elsevier, vol. 261(C), pages 284-301.
    3. Sandra Sülz & Andreas Fügener & Michael Becker-Peth & Bernhard Roth, 2024. "The potential of patient-based nurse staffing – a queuing theory application in the neonatal intensive care setting," Health Care Management Science, Springer, vol. 27(2), pages 239-253, June.
    4. O Berman & Z Drezner, 2007. "The multiple server location problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 58(1), pages 91-99, January.
    5. Doǧan A. Serel & Erdal Erel, 2008. "Coordination of staffing and pricing decisions in a service firm," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 24(4), pages 307-323, July.
    6. Michelle Opp & Kevin Glazebrook & Vidyadhar G. Kulkarni, 2005. "Outsourcing warranty repairs: Dynamic allocation," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(5), pages 381-398, August.
    7. M. Eric Johnson & Margaret L. Brandeau, 1999. "Design of an Automated Shop Floor Material Handling System with Inventory Considerations," Operations Research, INFORMS, vol. 47(1), pages 65-80, February.
    8. Peng, Xu & Tao, Xiaoma, 2018. "Cooperative game of electricity retailers in China's spot electricity market," Energy, Elsevier, vol. 145(C), pages 152-170.

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