, Volume 45, Issue 1, pp 29-38
Date: 20 Mar 2011

Invariance of the stationary state distribution for mass service networks with multi-regime strategies, different demands, and a “generalized processor sharing” discipline

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Abstract

Mass service networks with multiregime strategies and several types of demands are studied. Single-line nodes can operate in several regimes corresponding to different degrees of performance. The time of existence of each regime has an exponential distribution. The discipline of the demand servicing by the device is the “generalized processor sharing” (GPS) with random channel choice in the node. The amount of work on servicing a demand is a random quantity with an arbitrary distribution function. The invariance of the stationary probability distribution of network states with respect to the functional form of the distribution of the amount of work required for the demand servicing is established.

Original Russian Text © A.R. Eremina, 2011, published in Avtomatika i Vychislitel’naya Tekhnika, 2011, No. 1, pp. 43–54.