A reversible Erlang loss system with multi-type customers and multi-type servers

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Abstract

We consider a memoryless loss system with servers S = {1,...,J}, and with customer types C = {1,...I}. Servers are multi-type, so that server j can serve a subset of customer types C(j). We show that the probabilities of assigning arriving customers to idle servers can be chosen in such a way that the Markov process describing the system is reversible, with a simple product form stationary distribution. Furthermore, the system is insensitive; these properties are preserved for general service time distributions.
Original languageEnglish
Pages (from-to)536-548
JournalProbability in the Engineering and Informational Sciences
Volume24
Issue number4
DOIs
Publication statusPublished - 2010

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