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Record: oai:ARNO:424716

AuthorsI. Adan, C. Hurkens, G. Weiss
TitleA reversible Erlang loss system with multitype customers and multitype servers
JournalProbability in the Engineering and Informational Sciences
Volume24
Year2010
Issue4
Pages536-548
ISSN02699648
FacultyFaculty of Economics and Business
Institute/dept.FEB: Amsterdam School of Economics Research Institute (ASE-RI)
AbstractWe consider a memoryless Erlang loss system with servers S = {1, …, J}, and with customer types C = {1, …, I}. Servers are multitype, 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.
Document typeArticle
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