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Mixed parallel processors with interdependent blocking

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  • Nico M. Van Dijk

Abstract

This paper studies a system of parallel service facilities or processors with mixed exponential and non‐exponential queues, a non‐exponential finite source input and interdependent arrival as well as departure blocking such as due to a common pool or shared resource. A concrete invariance condition upon the blocking protocol is provided. Under this condition the stationary busy source distribution is shown to be of an insensitive product form. The result unifies and extends known product form results as will be illustrated by several examples.

Suggested Citation

  • Nico M. Van Dijk, 1990. "Mixed parallel processors with interdependent blocking," Applied Stochastic Models and Data Analysis, John Wiley & Sons, vol. 6(2), pages 85-100, June.
    • Handle: RePEc:wly:apsmda:v:6:y:1990:i:2:p:85-100
    DOI: 10.1002/asm.3150060203
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