On the M(n)/G/∞ steady-state distribution

Authors:
Daniel C. Lee;Stephen L. Spitler
Affiliations:
School of Engineering Science, Simon Fraser University, Burnaby, Canada;Department of Electrical Engineering, University of Southern California, Los Angeles, CA
Venue:
Performance Evaluation
Year:
2006

Citing 3
Cited 0

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Abstract

We present and verify the steady-state distribution of the state of the M(n)/G/∞ system, i.e., an infinite-server system with a general service time distribution that receives customers through a state-dependent Poisson arrival process. Our verification of the steady-state distribution is based on the global balance equation for the system, which takes the form of a partial differential equation. The M(n)/G/∞ model is important for studying admission-controlled, multi-server systems, e.g., communication networks with call/flow admission policies.