The critical offered load in variants of the symmetric shortest and longest queue systems

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Samenvatting

We study the ergodicity behavior of three truncated variants of the memoryless two-server symmetric shortest queue system and of two truncated variants of the memoryless two-dimensional symmetric longest queue system. These variants, which can be solved efficiently by the matrix-geometric approach, lead to flexible bounds on some performance measures in the corresponding original system. As a function of the truncating thresholds, we compute the supremum over the offered loads which guarantee ergodicity, and we study the limiting behavior of these suprema
Originele taal-2Engels
Pagina's (van-tot)1179-1195
Aantal pagina's17
TijdschriftCommunications in Statistics. Stochastic Models
Volume14
Nummer van het tijdschrift5
DOI's
StatusGepubliceerd - 1998

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