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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
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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