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Real-time multiserver system with two non-identical channels and limited maintenance facilities

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  • Kreimer, Joseph

Abstract

A real-time multiserver (such as unmanned air vehicles or machine controllers) system with two different channels (such as surveillance regions or assembly lines) working under maximum load regime with limited maintenance facilities is studied. In such system, a job is served immediately upon arrival (conditional on system availability) without delay. That part of the job which is not processed immediately is lost forever and cannot be served later. We show how to compute steady-state probabilities of such a system, when both maintenance and service times are exponentially distributed. Then, we also compute various important performance characteristics, including system availability and loss penalty function.

Suggested Citation

  • Kreimer, Joseph, 2000. "Real-time multiserver system with two non-identical channels and limited maintenance facilities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 53(1), pages 85-94.
    • Handle: RePEc:eee:matcom:v:53:y:2000:i:1:p:85-94
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    References listed on IDEAS

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    1. Joseph Kreimer & Abraham Mehrez, 1994. "Optimal Real-Time Data Acquisition and Processing by a Multiserver Stand-by System," Operations Research, INFORMS, vol. 42(1), pages 24-30, February.
    2. Litoiu, Marin & Tadei, Roberto, 1997. "Real time task scheduling allowing fuzzy due dates," European Journal of Operational Research, Elsevier, vol. 100(3), pages 475-481, August.
    3. Sudarshan K. Dhall & C. L. Liu, 1978. "On a Real-Time Scheduling Problem," Operations Research, INFORMS, vol. 26(1), pages 127-140, February.
    4. Kreimer, Joseph & Mehrez, Abraham, 1993. "An optimal operation policy for real-time n-server stand-by systems involving preventive maintenance," European Journal of Operational Research, Elsevier, vol. 69(1), pages 50-54, August.
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    Cited by:

    1. Ianovsky, Edward & Kreimer, Joseph, 2003. "Optimization of real-time multiserver system with two different channels and shortage of maintenance facilities," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 615-627.

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