Queueing Systems with Fractional Number of Servers

Valeriy Naumov and Olli Martikainen

No 1268, Discussion Papers from The Research Institute of the Finnish Economy

Abstract: In this paper we introduce multi-server queueing systems that can be considered as extensions of conventional M/M/s queue to fractional number of servers. We show that the extended Erlangs delay function can be used to calculate delay probabilities for such systems. This approach enables the delay analysis in networks with fractional number of servers in the nodes using classical methods.

Keywords: Erlangs delay function; multi-server system; state dependent service times (search for similar items in EconPapers)
JEL-codes: C61 C62 C68 (search for similar items in EconPapers)
Pages: 14 pages
Date: 2012
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