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Optimal Real-Time Data Acquisition and Processing by a Multiserver Stand-by System

Author

Listed:
  • Joseph Kreimer

    (Ben-Gurion University of the Negev, Beer Sheva, Israel)

  • Abraham Mehrez

    (Ben-Gurion University of the Negev, Beer Sheva, Israel)

Abstract

We obtain an optimal operation policy for a general n -server (channel, machine) stand-by system involving preventive maintenance and operating in real time . We show that such a policy is achieved by successive total use of each server capacity, and does not depend on the arrival pattern of processed data and task duration. We show also that this policy is optimal for any finite, initial period of time, and not only in the sense of long-run availability. The analysis is performed in two stages: a worst-case analysis is performed, and then, a general case is treated. Such a consecutive approach also seems to be useful in the analysis of more complicated systems. Rigorous mathematical proofs are provided. Actual and possible applications of results to military and production control systems are discussed.

Suggested Citation

  • 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.
    • Handle: RePEc:inm:oropre:v:42:y:1994:i:1:p:24-30
    DOI: 10.1287/opre.42.1.24
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    Citations

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    Cited by:

    1. Rabinowitz, Gadi & Goren, Shai & Mehrez, Abraham, 2000. "Scheduling two machines that require multiple types of maintenance, for a single operation," European Journal of Operational Research, Elsevier, vol. 127(3), pages 546-564, December.
    2. 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.
    3. 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.
    4. Edward Ianovsky & Joseph Kreimer, 2011. "An optimal routing policy for unmanned aerial vehicles (analytical and cross-entropy simulation approach)," Annals of Operations Research, Springer, vol. 189(1), pages 215-253, September.

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