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Please use this identifier to cite or link to this item: http://repository.iitr.ac.in/handle/123456789/10724
Title: Unreliable MX/(G1G2)/1 retrial queue with bernoulli feedback under modified vacation policy
Authors: Jain M.
Sharma G.C.
Sharma R.
Published in: International Journal of Information and Management Sciences
Abstract: In this paper, a batch arrival retrial queueing system with Bernoulli feedback and balking under modified vacation policy is considered wherein the server provides two phases of essential service to all arriving customers. In addition, the server may breakdown during the busy state at any time. After the completion of two phases of heterogeneous service, the server may go for 'j th' (1 ≤ j ≤ J) vacation on finding the orbit empty until at least one customer is accumulated in the system. The inter-retrial times, service times, repair times and vacation times are assumed to be governed by the general distribution. By introducing the supplementary variables and using generating function, the expressions for the expected number of the customers in the orbit as well as in the system are derived. Finally, the numerical results are provided.
Citation: International Journal of Information and Management Sciences (2012), 23(4): 425-448
URI: http://repository.iitr.ac.in/handle/123456789/10724
Issue Date: 2012
Keywords: Balking
Bulk arrival
Modified vacation
Retrial queue
Unreliable server
ISSN: 10171819
Author Scopus IDs: 7402070856
7202757093
56423860800
Author Affiliations: Jain, M., IIT, Roorkee, I.B.S, Khandari and St. Johns College, India, Department of Mathematics, IIT, Roorkee, Haridwar, India
Sharma, G.C., IIT, Roorkee, I.B.S, Khandari and St. Johns College, India, Department of Mathematics, I.B.S, Khandari, Agra, India
Sharma, R., IIT, Roorkee, I.B.S, Khandari and St. Johns College, India, Department of Mathematics, St. Johns College, Agra, India
Corresponding Author: Jain, M.; IIT, Roorkee, I.B.S, Khandari and St. Johns CollegeIndia; email: drmadhujain@yahoo.co.in
Appears in Collections:Journal Publications [MA]

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