Modelling deadlock in open restricted queueing networks

Geraint I. Palmer, Paul R. Harper and Vincent A. Knight

European Journal of Operational Research, 2018, vol. 266, issue 2, 609-621

Abstract: Open restricted queueing networks give rise to the phenomenon of deadlock, whereby some customers may be unable to ever leave a server due to mutual blocking. This paper explores deadlock in queueing networks with limited queueing capacity, presents a method of detecting deadlock in discrete event simulations, and builds Markov chain models of these deadlocking networks. The three networks for which Markov models are given include single and multi-server networks for one and two node systems. The expected times to deadlock of these models are compared to results obtained using a simulation of the stochastic process, together with the developed deadlock detection method. This paper aims to be of value to simulation modellers of queues.

Keywords: Queueing; Queueing networks; Deadlock; Markov models (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:266:y:2018:i:2:p:609-621

DOI: 10.1016/j.ejor.2017.10.039

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