On a batch retrial model with J vacations
Fu-Min Chang,Jau-Chuan Ke +1 more
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TLDR
A batch arrival retrial queue with general retrial times under a modified vacation policy with potential applications in packet-switched networks is considered and some important system characteristics are derived.About:
This article is published in Journal of Computational and Applied Mathematics.The article was published on 2009-10-01 and is currently open access. It has received 41 citations till now. The article focuses on the topics: Retrial queue & Orbit (control theory).read more
Citations
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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.
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Reliability-based measures for a retrial system with mixed standby components
Ching-Chang Kuo,Shey-Huei Sheu,Shey-Huei Sheu,Jau-Chuan Ke,Zhe George Zhang,Zhe George Zhang +5 more
TL;DR: In this article, the authors considered a retrial and repairable multi-component system with mixed warm and cold standby components, where the failure times of primary (operating) and warm standby components follow exponential distributions.
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On an unreliable retrial queue with general repeated attempts and J optional vacations
TL;DR: In this paper, the authors considered a single-server retrial queue with constant retrial rate and batch arrivals, in which the unreliable server has the option to take an additional vacation after the first essential vacation.
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Unreliable server M/G/1 queue with multi-optional services and multi-optional vacations
TL;DR: This paper deals with an M/G/1 queue with multiple optional services and multiple optional vacations for an unreliable server queue, and derives the system size distribution at the random epoch as well as the departure epoch.
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Unreliable MX/G/1 retrial queue with multi-optional services and impatient customers
Amita Bhagat,Madhu Jain +1 more
TL;DR: The present investigation deals with Mx/G/1 retrial queue with unreliable server and general retrial times, and queueing analysis has been done to obtain the queue size and orbit size distributions, and some other queueing as well as reliability measures.
References
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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.
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Stochastic Decompositions in the M/G/1 Queue with Generalized Vacations
S. W. Fuhrmann,Robert B. Cooper +1 more
TL;DR: In this article, the authors considered a class of M/G/1 queueing models with a server who is unavailable for occasional intervals of time and showed that the stationary number of customers present in the system at a random point in time is distributed as the sum of two or more independent random variables.
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The analysis of non-Markovian stochastic processes by the inclusion of supplementary variables
TL;DR: In this paper, it is shown that certain stochastic processes with discrete states in continuous time can be converted into Markov processes by the well-known method of including supplementary variables, and conditions under which it is possible to obtain a solution for arbitrary distributions are examined.