Service Networks with Multi-Regime Strategies, Different
Demands, and a
Generalized Processor Sharing
Discipline
A. R. Eremina
Chair of Stochastic Analysis and Econometric Simulation, Y. Kupala State University of Grodno,
ul. Ozheshko 22, Grodno, 220023 Belarus
E-mail: aleksandrae@mail.ru
Received October 1, 2010; in final form, November 25, 2010
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.
Keywords: mass service network, multiregime service, stationary distribution, invariance
DOI: 10.3103/S0146411611010044
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