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Discrete-time renewal input multiple vacation queue with accessible and non-accessible batches

Content Provider	Springer Nature Link
Author	Goswami, Veena Laxmi, P. Vijaya
Copyright Year	2011
Abstract	This paper analyzes a discrete-time finite buffer single server accessible and non-accessible batch service queue with multiple vacations. The inter-arrival times of customers are arbitrarily distributed. The service times and vacation times are both geometrically distributed. The server starts service in batches of maximum size b with a minimum threshold value a, otherwise it goes for vacation. There is a provision to include the late arriving customers in the ongoing service batch if the size of the batch being served is less than a threshold value d (a ≤ d ≤ b) and the service times are not affected by such inclusions. Using the supplementary variable and the embedded Markov chain techniques, we obtain the steady state probabilities at pre-arrival and arbitrary epochs. Some performance measures, waiting time distribution in the queue, and special cases of the model have also been discussed. Finally, sensitivity analysis is carried out in the form of table and graphs.
Starting Page	335
Ending Page	354
Page Count	20
File Format	PDF
ISSN	00303887
Journal	OPSEARCH
Volume Number	48
Issue Number	4
e-ISSN	09750320
Language	English
Publisher	Springer-Verlag
Publisher Date	2011-11-09
Publisher Place	India
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Discrete-time Vacation Supplementary variable Batch service Finite buffer Operations Research/Decision Theory Mathematics Management/Business for Professionals
Content Type	Text
Resource Type	Article
Subject	Management Science and Operations Research Management Information Systems Information Systems Computer Science Applications

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