Title: G-RAND: a phase-type approximation for the nonstationary G(t)/G(t)/s(t)+G(t) queue
Authors: Creemers, Stefan ×
Defraeye, Mieke #
Van Nieuwenhuyse, Inneke #
Issue Date: 2014
Publisher: North-Holland
Series Title: Performance Evaluation vol:accepted
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.
ISSN: 0166-5316
Publication status: accepted
KU Leuven publication type: IT
Appears in Collections:Research Center for Operations Management, Leuven
Centre for Business Expertise, FEB, Campus Brussels (-)
Faculty of Economics and Business (FEB) - miscellaneous
Research Centre for Quantitative Business Processes, Campus Brussels (-)
× corresponding author
# (joint) last author

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