Journal ArticleDOI
Analysis of a retrial queue with multiple vacations and state dependent arrivals
V. Jailaxmi,R. Arumuganathan +1 more
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This paper examines an M/G/1 retrial queueing system with multiple vacations and different arrival rates, and the steady state queue size distribution of number of customers in the retrial group, expected number ofcustoms in theretrial group and expected number in the system is obtained.Abstract:
This paper examines an M/G/1 retrial queueing system with multiple vacations and different arrival rates. Whenever the system is empty, the server immediately takes a vacation. At a vacation completion epoch, if the number of customers in the orbit is at least one the server remains in the system to activate service, otherwise the server avails multiple vacations until at least one customer is recorded in the orbit. The primary arrival rate is λ 1 when the server in idle and the primary arrival rate is λ 2 when the server is busy or on vacation (λ 1 > λ 2 ). The steady state queue size distribution of number of customers in the retrial group, expected number of customers in the retrial group and expected number of customers in the system are obtained. Some special cases are also discussed. Numerical illustrations are also provided.read more
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Journal ArticleDOI
Performance analysis of discrete-time Geo^X /G/1 retrial queue with various vacation policies and impatient customers
TL;DR: In this article , the behavior of a batch arrival single server retrial queueing model under three different vacation policies was studied, i.e., single vacation, multiple vacations, and at most J-vacations with impatient customers in general retrial times.
Journal ArticleDOI
Optional k-phase vacation for mx/g/1 queue with bulk arrival and state dependent rates
TL;DR: In this article, a non-Markovian batch arrival queue with a single server and multi-phases vacation has been studied, and the authors constructed Chapman Kolmogorov equations with the help of the supplementary variable technique.
References
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Journal ArticleDOI
A classified bibliography of research on retrial pueues: progress in 1990-1999
Journal ArticleDOI
brief review: Queueing Analysis: A Foundation of Performance Evaluation. Volume 1: Vacation and Priority Systems, Part 1 by H. Takagi (North-Holland, 1991)
TL;DR: This is a collection of articles, written especially for this publication, designed to show the rich variety of stochastic models applicable to studying the performance of computer and communications systems.
Journal ArticleDOI
Batch arrival queue with N -policy and single vacation
TL;DR: A procedure to find the optimal stationary operating policy under a linear cost structure is developed and it is shown that the system size distribution decomposes into two random variables one of which is the system sizes of ordinary M x / G /1 queue.
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