Stochastic decomposition of the M/G/∞ queue in a random environment

Stochastic decomposition of the M/G/∞ queue in a random environment

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Article ID: iaor20084177
Country: Netherlands
Volume: 35
Issue: 6
Start Page Number: 805
End Page Number: 812
Publication Date: Nov 2007
Journal: Operations Research Letters
Authors:
Keywords: stochastic processes
Abstract:

We prove a stochastic decomposition formula for the number of customers in an M/G/∞ system with service speeds depending on an independent random environment. In addition, we present a new technique to analyze this kind of queues and apply it to solve some examples of M/M/∞ queues in random environment.

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