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Stationary and Stability of Fork-Join Networks

Panagiotis Konstantopoulos and Jean Walrand
Journal of Applied Probability
Vol. 26, No. 3 (Sep., 1989), pp. 604-614
DOI: 10.2307/3214417
Stable URL: http://www.jstor.org/stable/3214417
Page Count: 11
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Stationary and Stability of Fork-Join Networks
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Abstract

We consider a fork-join network with arrival and service times forming a stationary and ergodic process. The usual stability condition, namely that the input rate is strictly less than all the service rates, is proved to be valid in this general case. Finally we extend the result to the case where there is random routing.

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