Batch service queue with change over times and Bernoulli schedule vacation interruption

In this paper, we model a discrete-time renewal input queue with change over times and Bernoulli schedule vacation interruption under batch service ( a , c , b ) policy. The service, working vacation and change over times are geometrically distributed. At the instants of a service completion, the va...

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Bibliographic Details
Published in:Opsearch 2014-09, Vol.51 (3), p.354-375
Main Authors: Laxmi, P. Vijaya, Seleshi, D.
Format: Article
Language:English
Subjects:
Application Article
Batch processing
Business and Management
Customers
Energy consumption
Genetic algorithms
Interruption
Management
Manufacturing
Mathematical models
Mathematics
Operations research
Operations Research/Decision Theory
Optimization
Optimization techniques
Queues
Queuing
Recursive
Schedules
Steady state
Studies
Vacations
Wireless networks
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Summary:In this paper, we model a discrete-time renewal input queue with change over times and Bernoulli schedule vacation interruption under batch service ( a , c , b ) policy. The service, working vacation and change over times are geometrically distributed. At the instants of a service completion, the vacation is interrupted and the server is resumed to a regular busy period with probability 1 − q if there are c or more customers in the system, or continues the vacation with probability q . Employing the supplementary variable and recursive techniques, we have derived the steady state queue length distributions at various epochs. Some performance measures and a cost model have been presented and an optimum service rate has been obtained using geneticalgorithm. Numerical results showing the effect of the parameters of the modelon the key performance measures are presented.
ISSN:0030-3887
0975-0320
DOI:10.1007/s12597-013-0149-y