Open Access Open Access  Restricted Access Subscription or Fee Access

Analysis of a Bulk Queue with Choice of Service Closedown Multiple Vacation Server Breakdown and Repair

G. Ayyappan, T. Deepa


This paper analyzes a bulk queue with choice of service, multiple vacation (MV), closedown, server breakdown and repair. The server gives two types of services type 1 and type 2. Whenever the queue size is less than `a’, the server starts closedown and then resumes MV. Breakdown may occur when the server is busy which will not affect the batch in service. After finishing that batch of service (first or second), it will be sent for repair. The supplementary variable method is used to derive the probability generating function (PGF) of the queue size distribution at an arbitrary epoch for the steady-state case. The system performance indices and cost analysis are also obtained. Numerical simulations are performed for various system parameters.


Batch arrival bulk service queue; Closedown; Multiple vacation; Server breakdown; Repair

Full Text:


Disclaimer/Regarding indexing issue:

We have provided the online access of all issues and papers to the indexing agencies (as given on journal web site). It’s depend on indexing agencies when, how and what manner they can index or not. Hence, we like to inform that on the basis of earlier indexing, we can’t predict the today or future indexing policy of third party (i.e. indexing agencies) as they have right to discontinue any journal at any time without prior information to the journal. So, please neither sends any question nor expects any answer from us on the behalf of third party i.e. indexing agencies.Hence, we will not issue any certificate or letter for indexing issue. Our role is just to provide the online access to them. So we do properly this and one can visit indexing agencies website to get the authentic information. Also: DOI is paid service which provided by a third party. We never mentioned that we go for this for our any journal. However, journal have no objection if author go directly for this paid DOI service.