A product form solution to a system with multi-type jobs and multi-type servers

J.W.C.H. Visschers, I.J.B.F. Adan, G. Weiss

Onderzoeksoutput: Boek/rapportRapportAcademic

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Samenvatting

We consider a memoryless single station service system with servers S = {m1, ..., mK}, and with job types C = {a, b, ...}. Service is skill based, so that server mi can serve a subset of job types C(mi). Waiting jobs are served on a first come first served basis, while arriving jobs that find several idle servers are assigned to a feasible server randomly. We show that there exist assignment probabilities under which the system has a product form stationary distribution, and obtain explicit expressions for it.
Originele taal-2Engels
Plaats van productieEindhoven
UitgeverijEurandom
Aantal pagina's27
StatusGepubliceerd - 2011

Publicatie series

NaamReport Eurandom
Volume2011002
ISSN van geprinte versie1389-2355

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