Modelling and analysis of a M&lt;SUP align="right"&gt;x&lt;/SUP&gt;/G(a,b)/1 queue with multiple vacations, setup time, closedown time and server breakdown without interruption

Jeyakumar, S.; Senthilnathan, B.

doi:10.1504/ijor.2014.057849

Cited by 6 publications

(4 citation statements)

References 12 publications

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“…batch service queue with MV applies in many real-life queues, viz., telecommunication, transportation, manufacturing, etc. In this connection, many queue theorists have been attracted to analyze such models, Choi and Han [6], Jeyakumar and Senthilnathan [14], etc. The batch service queues with SV as well as MV analyzed by a few researchers, Lee et al [18], Samanta et al [25], Sikdar and Gupta [27], Sikdar and Samanta [28], Gupta et al [11], Tamrakar and Banerjee [30], and the references therein.…”

Section: Introductionmentioning

confidence: 99%

Study on Infinite Buffer Batch Size Dependent Bulk Service Queue with Queue Length Dependent Vacation

Tamrakar

Banerjee

2021

Int. J. Appl. Comput. Math

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Section: Introductionmentioning

confidence: 99%

Study on Infinite Buffer Batch Size Dependent Bulk Service Queue with Queue Length Dependent Vacation

Tamrakar

Banerjee

2021

Int. J. Appl. Comput. Math

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“…Jeyakumar along with Senthilnathan [16] have also studied a queuing system including setup time, closedown time, and various vacations, and it does cause any. Renovation of the service station was also explored by the authors.…”

Section: Literature Surveymentioning

confidence: 99%

Mathematical Modelling of MX/G(a, b)/1 Bulk Service Queue Model with Two Vacations and Setup Time in Ceramic Technology

Lavanya¹,

Vennila²,

Sankoh

2022

Mathematical Problems in Engineering

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The orthodox way of tile printing results in mulish production. To tame this, digital inkjet printing technology was imposed. In this article, a mathematical prototype is designed exclusively for the tile printing wing. The various plants coming under printing are correlated to the proposed prototype. The article throws light on the functioning of the prototype. The prototype turns up subservient to bulk service queue models with two types of vacations. The prototype is resolved under the supplementary variable technique. The prototype with peculiar conditions is proved to be the existing model. Anticipated line distance, awaited active duration, awaited standby time, and expected idle period were computed. Thus, the total average cost is acquired for diverse vacation values. The main intention of the pattern is to downside the total average cost.

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“…Jain, M., and Singh, M. [8] analyzed markov queueing model with feedback, discouragement and disaster. Jeyakumar S and Senthilnathan B [9] Modelled and analysed 𝑀 /𝐺 𝑎, 𝑏 /1 queue with multiple vacation, setup time, closedown time server breakdown without interruptions. Jiang T., Liu L. [10] analysed G1/M/1 queue in a multi-phase service environment with disaster and working breakdowns.…”

Section: Introductionmentioning

confidence: 99%

Production analysis of manufacturing industry in a single vacation policy under disaster

2023

Math. models, eng.

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The disaster in queueing system with second optional service is considered. Arriving customer of this system will receive the essential service and optional second service if needed. When the system is interrupted by the disaster, the server initiates the repair period making all the customer leave the system immediately. The server, when idle, takes single vacation. The disaster cannot happen when server is under vacation or in repair period. The above queueing system is analysed using supplementary variable technique to obtain the probability generating function for various parameters and effects of parameters are explained graphically with numerical illustrations.

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Modelling and analysis of a M<SUP align="right">x</SUP>/G(a,b)/1 queue with multiple vacations, setup time, closedown time and server breakdown without interruption

Cited by 6 publications

References 12 publications

Study on Infinite Buffer Batch Size Dependent Bulk Service Queue with Queue Length Dependent Vacation

Study on Infinite Buffer Batch Size Dependent Bulk Service Queue with Queue Length Dependent Vacation

Mathematical Modelling of MX/G(a, b)/1 Bulk Service Queue Model with Two Vacations and Setup Time in Ceramic Technology

Production analysis of manufacturing industry in a single vacation policy under disaster

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