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Analysis and Design of Loop Service Systems via a Diffusion Approximation

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  • M. J. Fischer

    (Defense Communications Agency, Reston, Virginia)

Abstract

In a loop service system the server cyclically serves a fixed number of peripheral stations. In this paper we consider an operating rule where the server is allowed to service a particular station for a fixed length of time each cycle. Using a diffusion approximation, we obtain expressions for the distribution of the steady state load as well as the expected waiting time at a particular peripheral station. These results are then used to determine the optimal design for the system under a linear cost structure.

Suggested Citation

  • M. J. Fischer, 1977. "Analysis and Design of Loop Service Systems via a Diffusion Approximation," Operations Research, INFORMS, vol. 25(2), pages 269-278, April.
    • Handle: RePEc:inm:oropre:v:25:y:1977:i:2:p:269-278
    DOI: 10.1287/opre.25.2.269
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