Simulation of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server
Ádám Tóth,Tamás Bérczes,János Sztrik,Anna Kvach +3 more
- pp 146-158
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TLDR
A simulation program is built to investigate finite-source retrial queuing system with collision of the customers where the server is subject to random breakdowns and repairs depending on whether it is idle or busy.Abstract:
The aim of the present paper is to build a simulation program to investigate finite-source retrial queuing system with collision of the customers where the server is subject to random breakdowns and repairs depending on whether it is idle or busy. All the random variables involved in the model construction are assumed to be independent and generally distributed. The novelty of the investigation is to carry sensitivity analysis of the performance measures using various distributions. Several figures show the effect of different distributions on the performance measures such as mean and variance of number of customers in the system, mean and variance of response time, mean and variance of time a customer spent in service, mean and variance of sojourn time in the orbit.read 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.
Book ChapterDOI
A Survey of Recent Results in Finite-Source Retrial Queues with Collisions
TL;DR: It is proved that the steady-state distribution of the number of customers in the service facility can be approximated by a normal distribution with given mean and variance and the distribution ofthe number of retrials until the successful service in the limit is geometrically distributed.
Proceedings ArticleDOI
Wireless Communications and Networking Conference (WCNC), 2014 IEEE
Book ChapterDOI
An Algorithmic Approach for the Analysis of Finite-Source M/GI/1 Retrial Queueing Systems with Collisions and Server Subject to Breakdowns and Repairs
TL;DR: In this paper retrial queuing systems with a finite number of sources and collisions of the customers is considered, where the server is subjects 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.
Proceedings ArticleDOI
SimPack: getting started with simulation programming in C and C++
TL;DR: It is demonstrated that special purpose simulation programming languages can be easily constructed using language translation software with the SimPack utilities which act as the “assembly language.”
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
Homogeneous finite-source retrial queues with server subject to breakdowns and repairs
TL;DR: This paper deals with a single server retrial queue with a finite number of homogeneous sources of calls and a single nonreliable server, which means that the server is subject to random breakdowns depending on whether it is busy or idle.
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