Analysis of M&lt;SUP align="right"&gt;[X]&lt;/SUP&gt;/G/1 retrial queue with two phase service under Bernoulli vacation schedule and random breakdown

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

doi:10.1504/ijmor.2015.065946

Cited by 15 publications

(3 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…For some papers on random breakdowns in queueing systems, the reader may see Aissani et al [26], Maraghi et al [27] and Fadhil et al [28]. Rajadurai et al [29] analyzed an M [X] /G/1 retrial queue with two phases of service under Bernoulli vacation and random breakdown. Jiang et al [30] have made a computational analysis of a queue with working breakdown and delayed repair.…”

Section: Literature Surveymentioning

confidence: 99%

An M[X]/G(a,b)/1 Queueing System with Breakdown and Repair, Stand-By Server, Multiple Vacation and Control Policy on Request for Re-Service

Ayyappan

Karpagam

2018

Mathematics

View full text Add to dashboard Cite

Abstract:In this paper, we discuss a non-Markovian batch arrival general bulk service single-server queueing system with server breakdown and repair, a stand-by server, multiple vacation and re-service. The main server's regular service time, re-service time, vacation time and stand-by server's service time are followed by general distributions and breakdown and repair times of the main server with exponential distributions. There is a stand-by server which is employed during the period in which the regular server remains under repair. The probability generating function of the queue size at an arbitrary time and some performance measures of the system are derived. Extensive numerical results are also illustrated.

show abstract

Section: Literature Surveymentioning

confidence: 99%

An M[X]/G(a,b)/1 Queueing System with Breakdown and Repair, Stand-By Server, Multiple Vacation and Control Policy on Request for Re-Service

Ayyappan

Karpagam

2018

Mathematics

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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

show abstract

“…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: 99%

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

2015

Self Cite

View full text Add to dashboard Cite

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.

show abstract

Analysis of M<SUP align="right">[X]</SUP>/G/1 retrial queue with two phase service under Bernoulli vacation schedule and random breakdown

Cited by 15 publications

References 21 publications

An M[X]/G(a,b)/1 Queueing System with Breakdown and Repair, Stand-By Server, Multiple Vacation and Control Policy on Request for Re-Service

An M[X]/G(a,b)/1 Queueing System with Breakdown and Repair, Stand-By Server, Multiple Vacation and Control Policy on Request for Re-Service

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

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

Contact Info

Product

Resources

About