Queueing Systems with Fractional Number of Servers
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.
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- Down, Douglas G. & Karakostas, George, 2008. "Maximizing throughput in queueing networks with limited flexibility," European Journal of Operational Research, Elsevier, vol. 187(1), pages 98-112, May.
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