title   
  

Waiting time analysis of multi-class queues with impatient customers

Sarhangian, Vahid and Balcıoğlu, Ahmet Barış (2012) Waiting time analysis of multi-class queues with impatient customers. (Accepted/In Press)

WarningThere is a more recent version of this item available.

Full text not available from this repository.

Abstract

In this paper, we study three delay systems where different classes of impatient customers arrive according to independent Poisson processes. In the first system, a single server receives two classes of customers with general service time requirements, and follows a non-preemptive priority policy in serving them. Both classes of customers abandon the system when their exponentially distributed patience limits expire. The second system comprises parallel and identical servers providing the same type of service for both classes of impatient customers under the non-preemptive priority policy. We assume exponential service times and consider two cases depending on the time-to-abandon distribution being exponentially distributed or deterministic. In either case, we permit different reneging rates or patience limits for each class. Finally, we consider the first-come-first-served policy in single and multi-server settings. In all models, we obtain the Laplace transforms of the virtual waiting time for each class by exploiting the level-crossing method. This enables us to compute the steady-state system performance measures.

Item Type:Article
Subjects:Q Science > QA Mathematics > QA273-280 Probabilities. Mathematical statistics
ID Code:19940
Deposited By:Ahmet Barış Balcıoğlu
Deposited On:02 Nov 2012 22:43
Last Modified:27 Jun 2013 10:27

Available Versions of this Item

Repository Staff Only: item control page