Journal ArticleDOI
Analysis of multistage M[X]/GK/1 queue with different server’s interruptions and its application in energy consumption
C. Yuvarani,C. Vijayalakshmi +1 more
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This paper considers multistage batch arrival, batch service (fixed batch size) queue having multiple vacation policy subject to server breakdown with the delayed repair, and derives transient and its corresponding steady-state solutions.Abstract:
In this paper, we consider multistage batch arrival, batch service (fixed batch size) queue having multiple vacation policy subject to server breakdown with the delayed repair. In addition, the ser...read more
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Supplementary variable technique (SVT) for non-Markovian single server queue with service interruption (QSI)
TL;DR: An overview and literature survey on the performance modeling and analysis of single server, general service queueing system with service interruption using supplementary variable technique and factors causing service interruption such as unreliable server and server vacation are presented.
References
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Journal ArticleDOI
Queueing systems with vacations—a survey
TL;DR: This survey gives an overview of some general decomposition results and the methodology used to obtain these results for two vacation models and attempts to provide a methodological overview to illustrate how the seemingly diverse mix of problems is closely related in structure and can be understood in a common framework.
Recent Developments in Vacation Queueing Models : A Short Survey
TL;DR: In this paper, the authors provide a brief summary of the most recent research works on vacation queueing systems in the past 10 years, including a survey of server's vacation models.
Journal ArticleDOI
A single server queueing system with two phases of service subject to server breakdown and Bernoulli vacation
Gautam Choudhury,Mitali Deka +1 more
TL;DR: This paper derives the joint distribution of state of the server and queue size and the probability generating function of the stationary queue size distribution at a departure epoch and derives Laplace Stieltjes transform of busy period distribution and waiting time distribution.
Journal ArticleDOI
A Two Stage Batch Arrival Queue with Reneging during Vacation and Breakdown Periods
TL;DR: A two stage queuing model where the server provides two stages of service one by one in succession is studied, and steady state solutions are derived by using supplementary variable technique and the mean queue length and mean waiting time are calculated.
A Batch Arrival Unreliable Server Bernoulli Vacation Queue with Two Phases of Service and Delayed Repair
Gautam Choudhury,Mitali Deka +1 more
TL;DR: In this article, a batch arrival unreliable queue with two phases of service and vacation under Bernoulli vacation schedule, which consist of a breakdown period and a delay period, is considered.
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On the batch arrival batch service queue with finite buffer under server's vacation: MX/GY/1/N queue
K. Sikdar,U. C. Gupta +1 more