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A Numerical Method to Obtain the Equilibrium Results for the Multiple Finite Source Priority Queueing Model

Author

Listed:
  • M. Jeya Chandra

    (Pennsylvania State University)

  • Robert G. Sargent

    (Syracuse University)

Abstract

In this paper a numerical method is presented to obtain the equilibrium results of the multiple finite source queueing model having a single server using a nonpreemptive fixed priority service discipline and where each class of customers has a different exponential interarrival density function and arbitrary service time distribution function. This solution method uses the method of imbedded Markov Chain and the renewal reward theorem to find the proportion of time the server is busy with the customers of different classes. The equilibrium results are then related to these proportions using an extension of Little's formula.

Suggested Citation

  • M. Jeya Chandra & Robert G. Sargent, 1983. "A Numerical Method to Obtain the Equilibrium Results for the Multiple Finite Source Priority Queueing Model," Management Science, INFORMS, vol. 29(11), pages 1298-1308, November.
    • Handle: RePEc:inm:ormnsc:v:29:y:1983:i:11:p:1298-1308
    DOI: 10.1287/mnsc.29.11.1298
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    Cited by:

    1. Saligrama R. Agnihothri, 1989. "Interrelationships between performance measures for the machine‐repairman problem," Naval Research Logistics (NRL), John Wiley & Sons, vol. 36(3), pages 265-271, June.
    2. Iwan Budihardjo & H. T. David, 1999. "Expected waiting time rankings in extended machine‐repair models," Naval Research Logistics (NRL), John Wiley & Sons, vol. 46(7), pages 864-870, October.
    3. 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.
    4. Haque, Lani & Armstrong, Michael J., 2007. "A survey of the machine interference problem," European Journal of Operational Research, Elsevier, vol. 179(2), pages 469-482, June.
    5. Seyed M.R. Iravani & Izak Duenyas & Tava Lennon Olsen, 2000. "A Production/Inventory System Subject to Failure with Limited Repair Capacity," Operations Research, INFORMS, vol. 48(6), pages 951-964, December.

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