, Volume 51, Issue 1-2, pp 53-76

Analysis of a Multiserver Queue with Setup Times

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Abstract

This paper deals with the analysis of an M/M/c queueing system with setup times. This queueing model captures the major characteristics of phenomena occurring in production when the system consists in a set of machines monitored by a single operator. We carry out an extensive analysis of the system including limiting distribution of the system state, waiting time analysis, busy period and maximum queue length.

AMS subject classification: 90B22, 60K25