A two phase service M/G/1 queue with a finite number of immediate Bernoulli feedbacks

Kalidass, K.; Ramanath, Kasturi

doi:10.1007/s12597-013-0136-3

Cited by 9 publications

(4 citation statements)

References 16 publications

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“…The concept of optional service was explored by Kalidass and Kasturi (2014), who studied a single server queue with two service phases along with a finite number of immediate feedbacks. Arivudainambi and Godhandaraman (2015) determined a single server retrial queueing scenario with optional service, balking, and vacation.…”

Section: Literature Reviewmentioning

confidence: 99%

Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback

Saravanan

Poongothai

Godhandaraman

2023

Int. j. math. eng. manag. sci.

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This paper considers a Markovian retrial queueing system with an optional service, unreliable server, balking and feedback. An arriving customer can avail of immediate service if the server is free. If the potential customer encounters a busy server, it may either join the orbit or balk the system. The customers may retry their request for service from the orbit after a random amount of time. Each customer gets the First Essential Service (FES). After the completion of FES, the customers may seek the Second Optional Service (SOS) or leave the system. In the event of unforeseen circumstances, the server may encounter a breakdown, at which point an immediate repair process will be initiated. After the service completion, the customer may leave the system or re-join the orbit if not satisfied and demand regular service as feedback. In this investigation, the stationary queue size distributions are framed using a recursive approach. Various system performance measures are derived. The effects induced by the system parameters on the performance metrics are numerically and graphically analysed.

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Section: Literature Reviewmentioning

confidence: 99%

Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback

Saravanan

Poongothai

Godhandaraman

2023

Int. j. math. eng. manag. sci.

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“…In queueing models, it is the most used parameter. Kalidass and Kasturi [7] have studied a queueing model with working breakdown. According to their research, if a server crashes at a certain point but doesn't completely shut down, the server continues to run at a slower speed.…”

Section: Maragathasundari and Srinivasanmentioning

confidence: 99%

An \(M^{[x]}/G/1\) Queue With Optional Service and Working Breakdown

Somasundaram

Karpagam

Lokesh

et al. 2023

UMJ

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In this study, a batch arrival single service queue with two stages of service (second stage is optional) and working breakdown is investigated. When the system is in operation, it may breakdown at any time. During breakdown period, instead of terminating the service totally, it continues at a slower rate. We find the time-dependent probability generating functions in terms of their Laplace transforms and derive explicitly the corresponding steady state results. Furthermore, numerous measures indicating system performances, such as the average queue size and the average queue waiting time, has been obtained. Some of the numerical results and graphical representations were also presented.

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“…M/M/1 working vacation queue has been introduced by Servi and Finn [6]. In the history of queue, Kalidass and Kasturi [2] contributed different way to the theory of feedback called immediate feedback. 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.…”

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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A two phase service M/G/1 queue with a finite number of immediate Bernoulli feedbacks

Cited by 9 publications

References 16 publications

Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback

Performance Analysis of a Retrial Queueing System with Optional Service, Unreliable Server, Balking and Feedback

An \(M^{[x]}/G/1\) Queue With Optional Service and Working Breakdown

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

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