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

Choudhury, Gautam; Deka, Kandarpa

doi:10.1016/j.peva.2008.04.004

Cited by 76 publications

(19 citation statements)

References 33 publications

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“…Among some excellent papers in this area are those by Tang [10], Wang et al [12], Choudhury and Deka [4], and Gao and Wang [5]. We observe that authors usually assumed the service station may break down during service period of customers, but the repair facility for the broken service station does not fail.…”

Section: Introductionmentioning

confidence: 85%

Analysis of an M/G/1 queue with N-policy, single vacation, unreliable service station and replaceable repair facility

Tang

2015

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This paper considers an M/G/1 repairable queueing system with N-policy and single vacation, in which the service station is subject to random breakdowns. Once the service station breaks down, it is repaired by a repair facility. Moreover, the repair facility may fail during the repair period which results in repair interruptions. Failed repair facility resumes repair after a random period of time. Applying the renewal process theory and the probability decomposition technique, the probability that the service station is broken, the rate of occurrence of breakdowns of the service station, the probability that the repair facility is being replaced, the rate of occurrence of failures of the repair facility and the stochastic decomposition property of the reliability measures are obtained. Following the construction of the long-run expected cost function per unit time, we numerically determined the optimal threshold N * for minimizing the cost function.

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Section: Introductionmentioning

confidence: 85%

Analysis of an M/G/1 queue with N-policy, single vacation, unreliable service station and replaceable repair facility

Tang

2015

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“…repaired), the server is ready to start its remaining service to customers in both phases of service and in this case the service times are cumulative, which we may refer to as generalized service times. This type of model is known as queue with a second optional service subject to server breakdown and was studied recently by Wang [15] for exponential SPS time distribution but without retrials and delay times and by Choudhury and Deka [32] with repeated attempts but without delay times and Bernoulli admission mechanism. Now, for further development for such a type of model, we may further introduce the concept of delay times and repeated attempts under a classical retrial policy with Bernoulli admission mechanism, where primary customers finding the server free upon arrival automatically start their FPS.…”

Section: The Mathematical Modelmentioning

confidence: 99%

“…Wang et al [31] studied a repairable M/G/1 retrial queueing model from the viewpoint of reliability for the first time, and both of the queueing indices and reliability characteristics are obtained. More recently, Choudhury and Deka [32] investigate such a repairable M/G/1 retrial queueing model with two phases of service. Although some aspects have been discussed separately on queueing systems with service interruptions, second optional service, repeated attempts, however, no work have been found that combine these features together for batch arrival queueing systems, even in the most recent studies.…”

Section: Introductionmentioning

confidence: 99%

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

Choudhury

Tadj

Deka

2010

Computers & Mathematics with Applications

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a b s t r a c tThis paper deals with the steady-state behavior of an M X /G/1 retrial queue with an additional second phase of optional service and service interruption where breakdowns occur randomly at any instant while the server is serving the customers. Further, the concept of delay time is also introduced in the model. This model generalizes both the classical M X /G/1 retrial queue with service interruption as well as the M X /G/1 queue with second optional service and service interruption. We carry out an extensive analysis of this model.

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“…Li et al (2007) proposed a single-server vacation queue with two policies, working vacation and service interruption. Choudhury and Deka (2008) studied 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. Further, Wang and Xu (2009) obtained the solution of an M/G/1 queue with second optional service and server breakdown using the method of functional analysis.…”

Section: Introductionmentioning

confidence: 99%

Multiple vacation policy for MX/Hk/1 queue with un-reliable server

Jain

Sharma

Sharma³

2013

J Ind Eng Int

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This paper studies the operating characteristics of an M X /H k /1 queueing system under multiple vacation policy. It is assumed that the server goes for vacation as soon as the system becomes empty. When he returns from a vacation and there is one or more customers waiting in the queue, he serves these customers until the system becomes empty again, otherwise goes for another vacation. The breakdown and repair times of the server are assumed to follow a negative exponential distribution. By using a generating function, we derive various performance indices. The approximate formulas for the probability distribution of the waiting time of the customers in the system by using the maximum entropy principle (MEP) are obtained. This approach is accurate enough for practical purposes and is a useful method for solving complex queueing systems. The sensitivity analysis is carried out by taking a numerical illustration.

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

Cited by 76 publications

References 33 publications

Analysis of an M/G/1 queue with N-policy, single vacation, unreliable service station and replaceable repair facility

Analysis of an M/G/1 queue with N-policy, single vacation, unreliable service station and replaceable repair facility

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

Multiple vacation policy for MX/Hk/1 queue with un-reliable server

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