IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v53y2000i1p85-94.html
   My bibliography  Save this article

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475400001713
    Download Restriction: Full text for ScienceDirect subscribers only
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sudarshan K. Dhall & C. L. Liu, 1978. "On a Real-Time Scheduling Problem," Operations Research, INFORMS, vol. 26(1), pages 127-140, February.
    2. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    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.
    2. 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.
    3. 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.
    4. Łuczka, Jerzy, 1988. "On Markovian kinetic equations: Zubarev's nonequilibrium statistical operator approach," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 245-266.
    5. Gorini, Vittorio & Verri, Maurizio & Frigerio, Alberto, 1989. "Non-markovian behavior in low-temperature damping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 161(2), pages 357-384.
    6. Bondarev, B.V., 1992. "Quantum Markovian master equation theory of particle migration in a stochastic medium," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 183(1), pages 159-174.
    7. Pianykh, Oleg S. & Perez, Sebastian & Zhang, Chengzhao “Richard”, 2024. "Discrete scheduling and critical utilization," European Journal of Operational Research, Elsevier, vol. 312(2), pages 445-455.
    8. Sevastjanov, P.V. & Róg, P., 2003. "Fuzzy modeling of manufacturing and logistic systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 63(6), pages 569-585.
    9. Tzafestas, Spyros & Triantafyllakis, Alekos, 1993. "Deterministic scheduling in computing and manufacturing systems: a survey of models and algorithms," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 35(5), pages 397-434.
    10. Bertossi, Alan A. & Fusiello, Andrea, 1997. "Rate-monotonic scheduling for hard-real-time systems," European Journal of Operational Research, Elsevier, vol. 96(3), pages 429-443, February.
    11. Schmutz, M., 1980. "Jahn-Teller systems as displaced para-Bose oscillators," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 101(1), pages 1-21.
    12. Dubois, Didier & Fargier, Helene & Fortemps, Philippe, 2003. "Fuzzy scheduling: Modelling flexible constraints vs. coping with incomplete knowledge," European Journal of Operational Research, Elsevier, vol. 147(2), pages 231-252, June.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:53:y:2000:i:1:p:85-94. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.