EconPapers    
Economics at your fingertips  
 

Computing system length distribution of a finite-buffer bulk-arrival bulk-service queue with variable server capacity

A. Banerjee, K. Sikdar and U.C. Gupta

International Journal of Operational Research, 2011, vol. 12, issue 3, 294-317

Abstract: In a recent paper, Chang et al. (2004) analysed finite-buffer bulk-arrival bulk-service queue with variable server capacity: MX/GY/1/N, and obtained queue length distributions at departure-, arbitrary- and arrival-epochs. They only obtained the distribution of the number of customers in the queue when server is idle/busy. From their analysis one cannot obtain the system length distribution or distribution of the number of customers in the batch undergoing service with the server when the server is busy. In this paper, we reinvestigate the model and first obtain the joint distribution of the number of customers in the queue and number with the departing batch at departure-epoch and then using it we derive the joint distribution of the number of customers in the queue and number with the server at arbitrary- and arrival-epoch. Besides obtaining system length distribution, we also obtain distribution of number of customers in the queue when the server is idle/busy and several performance measures viz. blocking probability, average number of customers in the system (queue) and average number of customers with the server.

Keywords: bulk arrival queues; bulk service queues; finite buffer queues; system length; variable server capacity. (search for similar items in EconPapers)
Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.inderscience.com/link.php?id=42918 (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:12:y:2011:i:3:p:294-317

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 ().

 
Page updated 2025-03-19
Handle: RePEc:ids:ijores:v:12:y:2011:i:3:p:294-317