J. Kumaran
Abstract
The coupling matrix was introduced in [8] to compute the performance measures of a PH/PH/1 single server queue. This matrix was extended in [1, 2] to include arrival and service processes that are possibly serially correlated processes, although the service process remains independent of the arrival process and all marginal distributions are matrix exponential, and this current paper is an extended abstract of [2]. The coupling matrix is constructed from the arrival and the service distributions without any computational effort, and the performance measures (such as waiting times and queue length distributions) are derived directly from its spectrum.
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Index Terms
- A spectral approach to compute performance measures in a correlated single server queue
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