Analysis of MAP/PH1,PH2/1 queue with vacations and optional secondary services
Document Type
Article
Publication Date
11-1-2013
Publication Title
Applied Mathematical Modelling
Abstract
In this paper we study a queueing model in which the customers arrive according to a Markovian arrival process (MAP). There is a single server who offers services on a first-come-first-served basis. With a certain probability a customer may require an optional secondary service. The secondary service is provided by the same server either immediately (if no one is waiting to receive service in the first stage) or waits until the number waiting for such services hits a pre-determined threshold. The model is studied as a QBD-process using matrix-analytic methods and some illustrative examples are discussed.
Volume
37
Issue
Issues 20–21
First Page
8886
Last Page
8902
DOI
10.1016/j.apm.2013.04.012
ISSN
0307-904X
Rights
© 2013 Elsevier Inc. All rights reserved.
Recommended Citation
Chakravarthy, Srinivas R., "Analysis of MAP/PH1,PH2/1 queue with vacations and optional secondary services" (2013). Industrial & Manufacturing Engineering Publications. 59.
https://digitalcommons.kettering.edu/industrialmanuf_eng_facultypubs/59
