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M/G/∞ with exponentially distributed setup times
M/G/∞ with exponentially distributed setup times
- 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.
- Subjects :
- Service (business)
Stationary distribution
Steady state (electronics)
Exponential distribution
business.industry
Computer science
Applied Mathematics
Distributed computing
Management Science and Operations Research
Poisson distribution
M/M/∞ queue
Industrial and Manufacturing Engineering
symbols.namesake
Server
symbols
business
Software
Computer network
Subjects
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