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Analysis of the finite-source multiclass priority queue with an unreliable server and setup time

Sahba, Pedram and Balcıoğlu, Ahmet Barış and Banjevic, Dragan (2013) Analysis of the finite-source multiclass priority queue with an unreliable server and setup time. Naval Research Logistics, 60 (4). pp. 331-342. ISSN 0894-069X

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Official URL: http://dx.doi.org/10.1002/nav.21537

Abstract

In this article, we study a queueing system serving multiple classes of customers. Each class has a finite-calling population. The customers are served according to the preemptive-resume priority policy. We assume general distributions for the service times. For each priority class, we derive the steady-state system size distributions at departure/arrival and arbitrary time epochs. We introduce the residual augmented process completion times conditioned on the number of customers in the system to obtain the system time distribution. We then extend the model by assuming that the server is subject to operation-independent failures upon which a repair process with random duration starts immediately. We also demonstrate how setup times, which may be required before resuming interrupted service or picking up a new customer, can be incorporated in the model.

Item Type:Article
Uncontrolled Keywords:multiclass finite-source populations; priority queues; process completion time; busy period analysis; operation-independent server disruptions
Subjects:Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics
ID Code:21548
Deposited By:Ahmet Barış Balcıoğlu
Deposited On:27 Jun 2013 10:26
Last Modified:10 Mar 2016 10:36

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