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An approximate planning model for distributed computing networks

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  • John S. Hollywood

Abstract

We develop an approximate planning model for a distributed computing network in which a control system oversees the assignment of information flows and tasks to a pool of shared computers, and describe several optimization applications using the model. We assume that the computers are multithreaded, and have differing architectures leading to varying and inconsistent processing rates. The model is based on a discrete‐time, continuous flow model developed by Graves [Oper Res 34 (1986), 522–533] which provides the steady‐state moments of production and work‐in‐queue quantities. We make several extensions to Graves' model to represent distributed computing networks. First, we approximately model control rules that are nonlinear functions of the work‐in‐queue at multiple stations through a linearization approach. Second, we introduce an additional noise term on production and show its use in modeling the discretization of jobs. Third, we model groups of heterogeneous computers as aggregate, “virtual computing cells” that process multiple tasks simultaneously, using a judiciously selected control rule. © 2005 Wiley Periodicals, Inc. Naval Research Logistics, 2005.

Suggested Citation

  • John S. Hollywood, 2005. "An approximate planning model for distributed computing networks," Naval Research Logistics (NRL), John Wiley & Sons, vol. 52(6), pages 590-605, September.
    • Handle: RePEc:wly:navres:v:52:y:2005:i:6:p:590-605
    DOI: 10.1002/nav.20098
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    References listed on IDEAS

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    1. James R. Jackson, 1963. "Jobshop-Like Queueing Systems," Management Science, INFORMS, vol. 10(1), pages 131-142, October.
    2. James R. Jackson, 1957. "Networks of Waiting Lines," Operations Research, INFORMS, vol. 5(4), pages 518-521, August.
    3. Eric V. Denardo & Christopher S. Tang, 1992. "Linear Control of a Markov Production System," Operations Research, INFORMS, vol. 40(2), pages 259-278, April.
    4. Eric V. Denardo & Christopher S. Tang, 1997. "Control of a Stochastic Production System with Estimated Parameters," Management Science, INFORMS, vol. 43(9), pages 1296-1307, September.
    5. Stephen C. Graves, 1986. "A Tactical Planning Model for a Job Shop," Operations Research, INFORMS, vol. 34(4), pages 522-533, August.
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    Cited by:

    1. Rong Yuan & Stephen C. Graves, 2016. "Setting optimal production lot sizes and planned lead times in a job shop," International Journal of Production Research, Taylor & Francis Journals, vol. 54(20), pages 6105-6120, October.

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