Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience

Sudhesh, R.; Azhagappan, A.; Selvamuthu, Dharmaraja

doi:10.1051/ro/2016046

Cited by 27 publications

(11 citation statements)

References 14 publications

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“…Later, [28] provided an analysis on a queueing model with variant working vacations and customers' impatience. The transience analysis of an infinte-buffer single server queue with working vacation, heterogeneous service and impatient customers has been done in [19]. Then, [3] provided a study of a queueing system with Bernoulli feedback, reneging and retention of reneged customers, multiple working vacations and Bernoulli schedule vacation interruption.…”

Section: Introductionmentioning

confidence: 99%

Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Yahiaoui

Bouchentouf

Kadi

2019

Cro. Oper. Res. Rev.

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This paper concerns the cost optimisation analysis of a discrete-time finite-capacity multiserver queueing system with Bernoulli feedback, synchronous multiple and single working vacations, balking, and reneging during both busy and working vacation periods. A reneged customer can be retained in the system by employing certain persuasive mechanism for completion of service. Using recursive method, the explicit expressions for the stationary state probabilities are obtained. Various system performance measures are presented. Further, a cost model is formulated. Then, the optimization of the model is carried out using quadratic fit search method (QFSM). Finally, the impact of various system parameters on the performance measures of the queueing system is shown numerically.

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Section: Introductionmentioning

confidence: 99%

Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Yahiaoui

Bouchentouf

Kadi

2019

Cro. Oper. Res. Rev.

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“…There are many practical situations where the steady state solutions are not applicable. As a result, the development of transient solutions for various queueing models is mainly focused by many researchers for the past three decades (refer [1], [9], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [21], [22]).…”

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confidence: 99%

“…The solution of a single server queueing model is obtained by Parthasarathy [17] for the time-dependent case. Sudhesh et al [21] investigated a Markovian single server queue in which the server starts working vacation when the system becomes empty and the impatience of customers due to the vacation of server. They obtained the time-dependent system size distributions, average and variance of size of the system explicitly.…”

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confidence: 99%

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Transient analysis of N-policy queue with system disaster repair preventive maintenance re-service balking closedown and setup times

Azhagappan¹,

Deepa²

2020

Journal of Industrial &Amp; Management Optimization

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This paper investigates the transient behavior of a M/M/1 queueing model with N-policy, system disaster, repair, preventive maintenance, balking, re-service, closedown and setup times. The server stays dormant (off state) until N customers accumulate in the queue and then starts an exhaustive service (on state). After the service, each customer may either leave the system or get immediate re-service. When the system becomes empty, the server resumes closedown work and then undergoes preventive maintenance. After that, it comes to the idle state and waits N accumulate for service. When the N th one enters the queue, the server commences the setup work and then starts the service. Meanwhile, the system suffers disastrous breakdown during busy period. It forced the system to the failure state and all the customers get eliminated. After that, the server gets repaired and moves to the idle state. The customers may either join the queue or balk when the size of the system is less than N. The probabilities of the proposed model are derived by the method of generating function for the transient case. Some system performance indices and numerical simulations are also presented.

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Time to Buffer Overflow in a Queueing Model with Working Vacation Policy

Kempa

Kobielnik

2018

Computer Networks

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Transient analysis of M/M/1 queue with working vacation, heterogeneous service and customers’ impatience

Cited by 27 publications

References 14 publications

Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Optimum cost analysis for an Geo/Geo/c/N feedback queue under synchronous working vacations and impatient customers

Transient analysis of N-policy queue with system disaster repair preventive maintenance re-service balking closedown and setup times

Time to Buffer Overflow in a Queueing Model with Working Vacation Policy

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