Performance analysis of renewal input $(a,c,b)$ policy queue with multiple working
vacations and change over times

Laxmi, P. Vijaya; Demie, Seleshi

doi:10.3934/jimo.2014.10.839

Cited by 2 publications

(3 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Now, to obtain the steady state probabilities at arbitrary epochs, we develop a relation between prearrival and arbitrary epoch probabilities. Setting = 0 in (11), (10), and (14)- (12) and using (28), we obtain…”

Section: Relation Between Steady State Distributions At Arbitrary Andmentioning

confidence: 99%

See 1 more Smart Citation

Analysis of General Input State Dependent Working Vacation Queue with Changeover Time

Pikkala

Vepada

2014

ISRN Computational Mathematics

View full text Add to dashboard Cite

We consider a finite buffer GI/M(n)/1 queue with multiple working vacations and changeover time, where the server can keep on working but at a slower speed during the vacation period. Moreover, the amount of service demanded by a customer is conditioned by the queue length at the moment service is begun for that customer. We provide a recursive algorithm using the supplementary variable technique to numerically compute the stationary queue length distribution of the system. Finally, some numerical results of the model are presented to show the parameter effect on various performance measures.

show abstract

Section: Relation Between Steady State Distributions At Arbitrary Andmentioning

confidence: 99%

“…The steady state behavior of an / ( , , ) /1 queueing system with multiple vacations and delayed vacations has been investigated by Jain and Singh [9]. Recently, Vijaya Laxmi and Seleshi [10] extended this study to a renewal input GI/ ( , , ) /1 queue with WV and changeover times.…”

Section: Introductionmentioning

confidence: 99%

Analysis of General Input State Dependent Working Vacation Queue with Changeover Time

Pikkala

Vepada

2014

ISRN Computational Mathematics

View full text Add to dashboard Cite

show abstract

“…Subsequently, the working vacation policy has been extended to discrete time queueing systems in [6]. Laxmi et al analyzed queueing system with multiple working vacations, and obtained the steady state queue length distributions by using recursive technique in [16,17]. Gao et al considered a discrete-time queue randomized working vacations negative customer, and found the optimum value of the normal service rate by using the parabolic method in [10].…”

mentioning

confidence: 99%

Performance analysis and optimization of a pseudo-fault Geo/Geo/1 repairable queueing system with <i>N</i>-policy, setup time and multiple working vacations

Ma¹,

Wang²,

Yue³

2017

Journal of Industrial &Amp; Management Optimization

View full text Add to dashboard Cite

In this paper, we consider a discrete time Geo/Geo/1 repairable queueing system with a pseudo-fault, setup time, N-policy and multiple working vacations. We assume that the service interruption is caused by pseudofault or breakdown, and occurs only when the server is busy. If the pseudo-fault occurs, the server will enter into a vacation period instead of a busy period. At a breakdown instant, the repair period starts immediately and after repaired the server is assumed to be as good as new. Using a quasi birth-and-death chain, we establish a two-dimensional Markov chain. We obtain the distribution of the steady-state queue length by using a matrix-geometric solution method. Moreover, we analyze the considered queueing system and provide several performance indices of the system in steady-state. According to the queueing system, we first investigate the individual and social optimal behaviors of the customer. Then we propose a pricing policy to optimize the system socially, and study the Nash equilibrium and social optimization of the proposed strategy to determine the optimal expected parameters of the system. Finally, we present some numerical results to illustrate the effect of several parameters on the systems.

show abstract

Performance analysis of renewal input $(a,c,b)$ policy queue with multiple working vacations and change over times

Cited by 2 publications

References 21 publications

Analysis of General Input State Dependent Working Vacation Queue with Changeover Time

Analysis of General Input State Dependent Working Vacation Queue with Changeover Time

Performance analysis and optimization of a pseudo-fault Geo/Geo/1 repairable queueing system with <i>N</i>-policy, setup time and multiple working vacations

Contact Info

Product

Resources

About