Bulk queue with Bernoulli vacation and m -optional services under N -policy

Charan Jeet Singh and Binay Kumar

International Journal of Operational Research, 2017, vol. 30, issue 4, 460-483

Abstract: The present investigation deals with a stochastic model of queueing system wherein the customers join the system in bulk with different arrival rates. On arrival in the system, the customer may choose any of the available m-optional services and the server may avail the optional vacation after finishing any one of the service or stay in the system to provide the service to other customers. It is also assumed that the server starts the service, if at least N customers are there in the queue. The steady state behaviour of the system is discussed by using the supplementary variable technique. The mathematical model is analysed by using the probability generating functions of queue size distribution to obtain the performance indices of the system. The principle of maximum entropy is also employed to find the approximate values of waiting time of the system. To validate the results, the numerical illustration is presented.

Keywords: queue; bulk; optional service; vacation; supplementary variable; maximum entropy; queue length. (search for similar items in EconPapers)
Date: 2017
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.inderscience.com/link.php?id=87826 (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:30:y:2017:i:4:p:460-483

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 ().