✦ LIBER ✦

On the steady-state distribution

✍ Scribed by Daniel C. Lee; Stephen L. Spitler

Publisher: Elsevier Science
Year: 2006
Tongue: English
Weight: 255 KB
Volume: 63
Category: Article
ISSN: 0166-5316
DOI: 10.1016/j.peva.2005.11.006

No coin nor oath required. For personal study only.

✦ Synopsis

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.

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