On the GIXn/G/∞ system with Markov dependent batch arrivals

On the GIXn/G/∞ system with Markov dependent batch arrivals

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Article ID: iaor1999447
Country: India
Volume: 35
Issue: 1
Start Page Number: 1
End Page Number: 12
Publication Date: Mar 1998
Journal: OPSEARCH
Authors: ,
Keywords: markov processes
Abstract:

We consider an infinite server system with Markov dependent batch sizes for arrivals. We model the system by defining a shot noise process. By a conditional approach, analytical results for the generating functions of the system state process and binomial moments are obtained in transient and steady states.

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