Analysis of MAP/PH(1), PH(2)/2 Queue with Bernoulli Vacations-Reference-Cited by-同舟云学术

Analysis of MAP/PH(1), PH(2)/2 Queue with Bernoulli Vacations

Published:2008-12-17 Issue: Volume:2008 Page:1-20
ISSN:1048-9533
Container-title:Journal of Applied Mathematics and Stochastic Analysis
language:en
Short-container-title:Journal of Applied Mathematics and Stochastic Analysis

Author:

Kumar B. Krishna¹,Rukmani R.²,Thangaraj V.³

Affiliation:

1. Department of Mathematics, College of Engineering, Anna University, Chennai 600 025, India

2. Department of Mathematics, Pachaiyappa's College, Chennai 600 030, India

3. Ramanujan Institute for Advanced Study in Mathematics, University of Madras, Chennai 600 005, India

Abstract

We consider a two-heterogeneous-server queueing system with Bernoulli vacation in which customers arrive according to a Markovian arrival process (MAP). Servers returning from vacation immediately take another vacation if no customer is waiting. Using matrix-geometric method, the steady-state probability of the number of customers in the system is investigated. Some important performance measures are obtained. The waiting time distribution and the mean waiting time are also discussed. Finally, some numerical illustrations are provided.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Modelling and Simulation,Statistics and Probability

Link

http://downloads.hindawi.com/archive/2008/396871.pdf

Reference23 articles.

1. Queueing systems with vacations ? A survey

2. Utilization of Idle Time in anM/G/1 Queueing System

3. Oscillating random walk models for GI/G/1 vacation systems with Bernoulli schedules

4. Average Delay Approximation of M/G/1 Cyclic Service Queues with Bernoulli Schedules

5. Exact results for the cyclic-service queue with a Bernoulli schedule

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