Modelling and analysis of a bulk service queueing model   with multiple working vacations and server breakdown

Modelling and analysis of a bulk service queueing model with multiple working vacations and server breakdown

0.00 Avg rating0 Votes
Article ID: iaor20173882
Volume: 51
Issue: 2
Start Page Number: 485
End Page Number: 508
Publication Date: Apr 2017
Journal: RAIRO - Operations Research
Authors: ,
Keywords: simulation, service
Abstract:

In this paper, a single server queue with variable batch size service, Poisson bulk arrival with multiple working vacations and server breakdown is considered. In working vacation, the server works with different rates rather than completely stoping the service during the vacation period. In this model, during the working vacation the server starts the service if it finds at least one customer in the queue with a maximum of ‘b’ customers, otherwise the server serves with variable batch size. Service time in working vacation and in regular period follows general distribution. The probability generating function of a queue size at an arbitrary time epoch as well as other completion epochs is derived. Expected queue length in a steady state is obtained. Also a numerical illustration is presented.

Reviews

Required fields are marked *. Your email address will not be published.