Please use this identifier to cite or link to this item: http://hdl.handle.net/1942/30468
Title: G-RAND: A phase-type approximation for the nonstationary G(t)/G(t)/s(t) plus G(t) queue
Authors: Creemers, Stefan
Defraeye, M
VAN NIEUWENHUYSE, Inneke 
Issue Date: 2014
Publisher: ELSEVIER SCIENCE BV
Source: PERFORMANCE EVALUATION, 80 (SI) , p. 102 -123
Abstract: We present a Markov model to analyze the queueing behavior of the nonstationary G(t)/G(t)/s(t) + G(t) queue. We assume an exhaustive service discipline (where servers complete their current service before leaving) and use acyclic phase-type distributions to approximate the general interarrival, service, and abandonment time distributions. The time-varying performance measures of interest are: (1) the expected number of customers in queue, (2) the variance of the number of customers in queue, (3) the expected number of abandonments, and (4) the virtual waiting time distribution of a customer arriving at an arbitrary moment in time. We refer to our model as G-RAND since it analyzes a general queue using the randomization method. A computational experiment shows that our model allows the accurate analysis of small-to medium-sized problem instances. (C) 2014 Elsevier B.V. All rights reserved.
Keywords: Nonstationary arrivals;Time-varying demand;Markov model;G(t)/G(t)/s(t) plus G(t) queue;Performance measurement
Document URI: http://hdl.handle.net/1942/30468
ISSN: 0166-5316
e-ISSN: 1872-745X
DOI: 10.1016/j.peva.2014.07.025
ISI #: WOS:000343347000007
Rights: 2014 Elsevier B.V. All rights reserved
Category: A1
Type: Journal Contribution
Appears in Collections:Research publications

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