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M/G/∞ with exponentially distributed setup times

M/G/∞ with exponentially distributed setup times

Authors :
Babak Haji
Sheldon M. Ross
Source :
Operations Research Letters. 43:26-28
Publication Year :
2015
Publisher :
Elsevier BV, 2015.

Abstract

We consider an M / G / ∞ model with exponentially distributed setup times. Arrivals result in an off server starting a setup. Upon completing a setup, a server begins serving a waiting customer. Upon completing service, with probability p the server becomes eligible to serve another waiting customer. Among other things, we show, in steady state, that the number of busy servers is Poisson distributed and is independent of the number of servers in setup.

Details

ISSN :
01676377
Volume :
43
Database :
OpenAIRE
Journal :
Operations Research Letters
Accession number :
edsair.doi...........75ce9c18c9eb7c8f3f319bd2eed01e01
Full Text :
https://doi.org/10.1016/j.orl.2014.11.002