Analysis of bulk retrial queue using maximum entropy principle

Madhu Jain and Amita Bhagat

International Journal of Operational Research, 2015, vol. 23, issue 4, 477-496

Abstract: In the present investigation, we study the maximum entropy principle (MEP) for the M^x/G/1 retrial queue with general retrial times and unreliable server. The customers arrive in bulk in Poisson fashion and are served if they find the server idle otherwise join the virtual pool of customers called orbit. By using maximum entropy principle, approximate results for the queue length as well as waiting time are obtained. We construct the maximum entropy function by using several known constraints so as to determine the probability distributions. Moreover, a comparative study has been done between the exact analytic expressions obtained by the supplementary variable technique and approximate results obtained by MEP.

Keywords: bulk retrial queues; maximum entropy principle; MEP; queue length; bulk arrivals; second optional services; balking; reneging; setup times; unreliable servers. (search for similar items in EconPapers)
Date: 2015
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=70146 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:ids:ijores:v:23:y:2015:i:4:p:477-496

Access Statistics for this article

More articles in International Journal of Operational Research from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().