Article,

Exact analysis of the M/M/k/setup class of Markov chains via recursive renewal reward

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Queueing Systems, 77 (2): 177-209 (2014)
DOI: 10.1007/s11134-014-9409-7

Abstract

The M/M/k/setup model, where there is a penalty for turning servers on, is common in data centers, call centers, and manufacturing systems. Setup costs take the form of a time delay, and sometimes there is additionally a power penalty, as in the case of data centers. While the M/M/1/setup was exactly analyzed in 1964, no exact analysis exists to date for the M/M/k/setup with

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