Performance analysis of finite buffer discrete-time queue with bulk service

Performance analysis of finite buffer discrete-time queue with bulk service

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Article ID: iaor2003184
Country: United Kingdom
Volume: 29
Issue: 10
Start Page Number: 1331
End Page Number: 1341
Publication Date: Sep 2002
Journal: Computers and Operations Research
Authors: ,
Keywords: communication
Abstract:

Discrete-time queues are extensively used in modelling the asynchronous transfer mode environment at the cell level. In this paper, we model a single-server queue with finite buffer space in a discrete-time environment where the services are performed in batches of maximum size ‘b’ with a minimum threshold value ‘a’. The analytic analysis of the model is carried out for the both arrival first (AF) and departure first (DF) management policies and distributions of buffer content at various epochs have been obtained. The system performance measures such as average buffer content, average delay and probability of blocking are discussed. A comparative study of AF and DF management policies on certain performance measures is also presented.

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