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A compartmental model in a random environment

Published online by Cambridge University Press:  01 July 2016

Colm Art O'Cinneide
Colm Art O'Cinneide*
Affiliation:
California State University, Chico
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Extract

The M/M/∞ queue can be considered as a compartmental system which may be modified by allowing its arrival and service rates to depend on an exogenous ‘environment process’. The states of the environment process are known as environments. We present some examples of this, chosen for their analytic or algorithmic tractability. We discuss (i) models with arrivals in only one environment, (ii) models with service in only one environment, (iii) reversible models and (iv) a model in which the environment process is also a queue.

Type
Applied Probability in Biology and Engineering. An ORSA/TIMS Special Interest Meeting
Information
Advances in Applied Probability , Volume 16 , Issue 1 , March 1984 , pp. 28
Copyright
Copyright © Applied Probability Trust 1984 

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