Analysis of G–queue with unreliable server

Rakhee,; Sharma, Geetanjali; Priya, Kriti

doi:10.1007/s12597-012-0117-y

Cited by 9 publications

(2 citation statements)

References 30 publications

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“…Gao and Wang [3] investigated an M/G/1 retrial G-queue with orbital search and non-persistent customers, where the server is subject to failure due to the negative arrivals. Using the matrix geometric method, Rakhee et al [4] studied a Geo/Geo/1 G-queue with an unreliable server, where the breakdown of the server is represented due to the arrival of a negative customer. Some authors like Wang and Zhang [5], Do [6], Yang et al [7], Peng et al [8], Chen et al [9] and Bhagat and Jain [10] also discussed a retrial G-queue with server breakdowns.…”

Section: Introductionmentioning

confidence: 99%

An M/G/1 Retrial G-Queue with General Retrial Times and Working Breakdowns

Zhang

2017

MCA

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This paper considers an M/G/1 retrial G-queue with general retrial times, in which the server is subject to working breakdowns and repairs. If the system is not empty during a normal service period, the arrival of a negative customer can cause the server breakdown, and the failed server still works at a lower service rate rather than stopping the service completely. Applying the embedded Markov chain, we obtain the necessary and sufficient condition for the stability of the system. Using the supplementary variable method, we deal with the generating functions of the number of customers in the orbit. Various system performance measures are also developed. Finally, some numerical examples and a cost optimization analysis are presented.

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Section: Introductionmentioning

confidence: 99%

An M/G/1 Retrial G-Queue with General Retrial Times and Working Breakdowns

Zhang

2017

MCA

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“…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

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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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