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A stochastic network formulation for complex sequential processes

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  • Austin J. Lemoine

Abstract

A network model incorporating stochastic features is considered. The model represents a complex sequential process where an object or system moves through a succession of states (nodes) and operating modes (classes) in the course of carrying out its function (fulfilling its purpose). Transitions between states and operating modes occur in a possibly random manner and require (consume) some resource in randomly varying amounts. We discuss the routing behavior and resource requirements of a typical object as it moves through (and eventually out of) the network. We then shift our focus from a single object and its odyssey to the network as a whole, where time is the resource and many objects are entering the network according to a possibly nonhomogeneous Poisson pattern; in this vein, we discuss the evolution of the network over time. Finally, we consider some applications of the formulation, and results.

Suggested Citation

  • Austin J. Lemoine, 1986. "A stochastic network formulation for complex sequential processes," Naval Research Logistics Quarterly, John Wiley & Sons, vol. 33(3), pages 431-443, August.
    • Handle: RePEc:wly:navlog:v:33:y:1986:i:3:p:431-443
    DOI: 10.1002/nav.3800330309
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