Delay analysis of a two-class priority queue with external arrivals and correlated arrivals from another node

Sofian De Clercq () and Joris Walraevens ()
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Sofian De Clercq: Ghent University - UGent
Joris Walraevens: Ghent University - UGent

Annals of Operations Research, 2020, vol. 293, issue 1, No 4, 57-72

Abstract: Abstract Calculation of the delay distribution of (low-priority) customers in priority queues is difficult, especially when the arrival process is correlated. In this paper, we find the generating functions of the delays of high- and low-priority customers in a discrete-time queue where the arrivals are generated by a superposition of two processes, an independent one and a correlated one that can bring an extra customer in the buffer during a slot. The latter process can be seen as a simplified model for the output process of another priority queue. As a consequence, our results can be used to estimate the delay in the second stage of a tandem queueing system with an extra exogenous arrival process. A tandem priority queue is not of product-form type and its analysis is known to be a hard problem. This paper can lead to a first approximate analysis that can later be extended to incorporate the correlation in the output process of a priority queue more accurately.

Keywords: Priority queue; Delay; Correlated arrivals; Generating functions (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s10479-020-03548-1

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