An M/G/1 retrial queueing system with two phases of service subject to the server breakdown and repair

Authors:
Gautam Choudhury;Kandarpa Deka
Affiliations:
Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Guwahati-781035 Assam, India;Mathematical Sciences Division, Institute of Advanced Study in Science and Technology, Paschim Boragaon, Guwahati-781035 Assam, India
Venue:
Performance Evaluation
Year:
2008

Citing 12
Cited 10

A survey on retrial queues

Queueing Systems: Theory and Applications
A survey of retrial queues

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Retrial queues with server subject to breakdown and repairs

Queueing Systems: Theory and Applications - Special issue of queueing systems, theory and applications
On the single server retrial queue subject to breakdowns

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An M/G/1 queue with second optional service

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Reliability Analysis of the Retrial Queue with Server Breakdowns and Repairs

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A Single Server Poisson Input Queue with a Second Optional Channel

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A discrete-time Geo/G/1 retrial queue with starting failures and second optional service

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An M/G/1 queue with second optional service and server breakdowns

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Accessible bibliography on retrial queues

Mathematical and Computer Modelling: An International Journal
Analysis of a two phase queueing system with general service times

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A two-phase queueing system with server vacations

Operations Research Letters

The N-policy for an unreliable server with delaying repair and two phases of service

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On a batch retrial model with J vacations

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An M/G/1 retrial G-queue with preemptive resume and feedback under N-policy subject to the server breakdowns and repairs

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A repairable queueing model with two-phase service, start-up times and retrial customers

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A batch arrival retrial queueing system with two phases of service and service interruption

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Comparison of two randomized policy M/G/1 queues with second optional service, server breakdown and startup

Journal of Computational and Applied Mathematics
An M/G/1 retrial queue with an unreliable server and general repair times

Performance Evaluation
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Analysis of the successful and blocked events in the Geo/Geo/c retrial queue

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Computational analysis of machine repair problem with unreliable multi-repairmen

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Abstract

This paper deals with the steady state behaviour of an M/G/1 retrial queue with an additional second phase of optional service subject to breakdowns occurring randomly at any instant while serving the customers. This model generalizes both the classical M/G/1 retrial queue subject to random breakdown as well as M/G/1 queue with second optional service and server breakdowns. We carry out an extensive analysis of this model.