Maximum entropy approach for an unreliable M X /G/1 queueing system with Bernoulli vacation, restricted admission and delayed phase repair under N-policy

Madhu Jain, G.C. Sharma and Varsha Rani

International Journal of Services and Operations Management, 2016, vol. 23, issue 4, 407-442

Abstract: The present article deals with a bulk arrival queueing model with an unreliable server and modified Bernoulli vacation under N-policy. The repairman who restores the server requires a setup time before starting his job. The repair to the failed server is provided in K-phases where first phase of repair is essential and remaining (K-1) phases are optional. The service time, vacation time, setup time and repair time of each phase are assumed to be independent and general distributed. The queue size distribution and other performance indices are obtained by employing the generating function and supplementary variable techniques. Further, the principle of maximum entropy is used to derive the approximate formulae for the waiting time of the customers. We perform the sensitivity analysis in order to observe the effects of different system parameters on various performance indices.

Keywords: maximum entropy; unreliable servers; phase repair; queue size; N-policy; admission control; bulk arrivals; unreliable queueing systems; Bernoulli vacation; restricted admission; service time; vacation time; setup time; repair time; waiting time. (search for similar items in EconPapers)
Date: 2016
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.inderscience.com/link.php?id=75244 (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:ijsoma:v:23:y:2016:i:4:p:407-442

Access Statistics for this article

More articles in International Journal of Services and Operations Management from Inderscience Enterprises Ltd
Bibliographic data for series maintained by Sarah Parker ().