Journal ArticleDOI
Asymptotic waiting time analysis of a finite-source m/m/1 retrial queueing system
TLDR
In this article, the authors derived the distribution of the number of retrial of the tagged request and as consequence presented the waiting time analysis of a finite-source M/M/1 retrial queuing system by using the method of asymptotic analysis under the condition of the unlimited growing number of sources.Abstract:
The aim of the paper is to derive the distribution of the number of retrial of the tagged request and as a consequence to present the waiting time analysis of a finite-source M/M/1 retrial queueing system by using the method of asymptotic analysis under the condition of the unlimited growing number of sources As a result of the investigation, it is shown that the asymptotic distribution of the number of retrials of the tagged customer in the orbit is geometric with given parameter, and the waiting time of the tagged customer has a generalized exponential distribution For the considered retrial queuing system numerical and simulation software packages are also developed With the help of several sample examples the accuracy and range of applicability of the asymptotic results in prelimit situation are illustrated showing the effectiveness of the proposed approximationread more
Citations
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Journal ArticleDOI
Asymptotic sojourn time analysis of finite-source M/M/1 retrial queueing system with collisions and server subject to breakdowns and repairs
TL;DR: It is proved that in steady state the limiting distribution of the centered and normalized number of customers in the system (orbit and service) follows a normal law with given parameters.
Journal ArticleDOI
Comparative cost-benefit analysis of four retrial systems with preventive maintenance and unreliable service station
TL;DR: In this paper , the Laplace-Stieltjes transform is used to derive the mean time-to-failure and the steady-state availability for air compressor systems with preventive maintenance.
Simulation of Finite-Source Retrial Queuing Systems With Collisions, Non-Reliable Server and Impatient Customers in the Orbit.
Ádám Tóth,János Sztrik +1 more
TL;DR: A sensitivity analysis is carried out comparing various distributions of impatient time of customers on the performance measures such as mean number of customers in the orbit, mean waiting time of an arbitrary customer, mean Waiting Time of customers who leave the system without service, probability of abandonment, server utilization, etc.
Journal ArticleDOI
Asymptotic Analysis of Finite-Source M/GI/1 Retrial Queueing Systems with Collisions and Server Subject to Breakdowns and Repairs
TL;DR: In this paper, the authors considered a retrial queuing system with a finite number of sources and collision of the customers, where the server is subject to random breakdowns and repairs depending on whether it is idle or busy.
References
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Book
Retrial Queueing Systems: A Computational Approach
TL;DR: This book is intended for an audience ranging from advanced undergraduates to researchers interested in queueing theory, but also in applied probability, stochastic models of the operations research, and engineering.
Journal ArticleDOI
Entropy maximisation and queueing network models
TL;DR: This paper traces the progress achieved so far towards the creation of ME and MRE product-form approximations and related algorithms for the performance analysis of general Queueing Network Models (QNMs) and indicates potential research extensions in the area.
Journal ArticleDOI
A survey of retrial queueing systems
Jeongsim Kim,Bara Kim +1 more
TL;DR: The main focus of this survey is to show analytic results for queue length distributions, waiting time distribution, and tail asymptotics for the queue length and waiting time distributions.
Journal ArticleDOI
A finite source retrial queue
G. I. Falin,Jesús R. Artalejo +1 more
TL;DR: This analysis extends previous work and includes the analysis of the arriving customer's distribution, the busy period and the waiting time process of the single-server retrial queue with a finite number of sources.
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Sojourn Time Analysis of Finite Source Markov Retrial Queuing System with Collision
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