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

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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.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's11
StatusGepubliceerd - 2010

Publicatie series

NaamReport Eurandom
Volume2010027
ISSN van geprinte versie1389-2355

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