Analysis of an M[X]/(G1,G2)/1 retrial queueing system with balking, optional re-service under modified vacation policy and service interruption

Rajadurai, P.; Saravanarajan, M.C.; Chandrasekaran, V. M.

doi:10.1016/j.asej.2014.02.003

Cited by 17 publications

(6 citation statements)

References 24 publications

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“…Kulkarni and Choi [20] analysed an M/G/1 retrial queue with the server subjected to breakdown and repair. Authors like, Choudhury et al [9], Yang et al [36] and Rajadurai et al [27][28][29] discussed a retrial queueing model with concept of breakdown and repair. Recently some of the authors like Gao and Wang [15], Rakhee et al [30], Wu and Lian [35] and Zhang and Liu [38] discussed the queueing models operating with the simultaneous presence of negative arrivals.…”

Section: Introductionmentioning

confidence: 98%

Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule

2015

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In this paper, we consider a batch arrival retrial queue with feedback under Bernoulli vacation schedule, where the busy server is subjected to breakdown due to the arrival of negative customers. Any arriving batch of positive customers finds the server free, one of the customers from the batch enters into the service area and the rest of them join into the orbit. Arriving positive customers may balk (or renege) the system at particular times. After completion of service the unsatisfied positive customer may rejoin into the orbit to get another regular service as feedback customer. The server takes Bernoulli vacation after service completion of positive customers. After completion of service (if the server is not taking vacation), repair or vacation the server searches for the customers in the orbit or remains idle. The steady state probability generating function for the system size is obtained by using the supplementary variable method. Some system performance measures, reliability measures and stochastic decomposition law are discussed. Finally, some numerical examples and cost optimization analysis are presented.

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Section: Introductionmentioning

confidence: 98%

Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule

2015

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“…For general models, we can find vacation models from Ke et al [5] and retrial queues from Artalejo and Gomez-Corral [2]. More comprehensive review, readers may refer from [1], [3], [4][5][6][7][8]. In this paper, we have generalized the work of Gao [3] by including the concepts of fluctuating modes of services and re-service.…”

Section: Introductionmentioning

confidence: 99%

An M/G/1 Retrial Queue with Fluctuating Modes of Services

Rajadurai¹,

Venkatesh²,

Parameswari³

2018

IJET

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“…That is if arrival wants service one more time, it will immediately get into service once again without joining the queue after receiving first service. For further details on queues with feedback and server down refer Takacs [7], Krishnakumar et al [3], Choudhury and Paul [1], Rajadurai et al [ [4], [5]], Varalakshmi et al [ [9], [10]]. This model has application in Computer Processing System, LAN, Simple Mail Transfer Protocol, etc.…”

Section: Introductionmentioning

confidence: 99%

A Single Server Queue with Immediate Feedback, Working Vacation and Server Breakdown

Varalakshmi¹,

Chandrasekaran²,

Saravanarajan³

2018

IJET

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This paper deals with analyze of a single server queueing system with immediate feedbacks and working vacation. Upon arrival if the customer sees the server to be busy then it joins the tail end of queue. Otherwise if server is idle, the customer gets into service. After completion of service, the customer is allowed to make an immediate feedback in finite number. Busy server may fail for a short interval of time. Using supplementary variable technique the steady state results are deduced. Some system performance measures are discussed

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Analysis of an M[X]/(G1,G2)/1 retrial queueing system with balking, optional re-service under modified vacation policy and service interruption

Cited by 17 publications

References 24 publications

Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule

Analysis of an M[X]/G/1 unreliable retrial G-queue with orbital search and feedback under Bernoulli vacation schedule

An M/G/1 Retrial Queue with Fluctuating Modes of Services

A Single Server Queue with Immediate Feedback, Working Vacation and Server Breakdown

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