Homogeneous finite-source retrial queues with server subject to breakdowns and repairs

Communications in Computer and Information Science

Sztrik

et al. 2017

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.

Section: Introductionmentioning

confidence: 99%

Simulation of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server

Tóth

Communications in Computer and Information Science

Sztrik

et al. 2017

“…Finite-source retrial queues with unreliable server have been investigated in several recent papers, for example, [4][5][6][7][8][9][10].…”

Section: Introductionmentioning

confidence: 99%

Performance Modeling of Finite-Source Retrial Queueing Systems with Collisions and Non-reliable Server Using MOSEL

Communications in Computer and Information Science

Sztrik

Tóth

et al. 2017

Abstract. In this paper we investigate a single-server retrial queueing system with collision of the customer and an unreliable server. If a customer finds the server idle, he enters into service immediately. The service times are independent exponentially distributed random variables. During the service time the source cannot generate a new primary call. Otherwise, if the server is busy, an arriving (primary or repeated) customer involves into collision with customer under service and they both moves into the orbit. The retrial time of requests are exponentially distributed. We assume that the server is unreliable and could be break down. When the server is interrupted, the call being served just before server interruption goes to the orbit. Our interest is to give the main steady-state performance measures of the system computed by the help of the MOSEL tool. Several Figures illustrate the effect of input parameters on the mean response time.

“…The theory of retrial queues has been applied to model and evaluate the resource contention problem and the distinct user behavior in mobile cellular networks and telecommunication systems (Ajmone Marsan et al, 2001;Almási et al, 2005;Artalejo, 1998Artalejo, , 1999Artalejo et al, 2007;Artalejo and Gómez-Corral, 2008;Artalejo, 2010;Artalejo and Lopez-Herrero, 2010;Economou and Lopez-Herrero, 2009;Falin and Templeton, 1997;Falin, 1990;Perel and Yechiali, 2010;Do, 2010bDo, , 2011Tran-Gia and Mandjes, 1997).…”

Section: Introductionmentioning

confidence: 99%

“…Infinite-source models are treated, e.g., by Ajmone Marsan et al (2001), Artalejo (2010), Do (2010a), Do (2010b), Do et al (2013), and Tran-Gia and Mandjes (1997). Finite-source retrial queues are discussed, e.g., by Artalejo and Lopez-Herrero (2012), Almási et al (2005), Gharbi and Charabi (2012), Kulkarni and Liang (1997), Wüchner et al (2009), Zhang and Wang (2012), Gharbi and Dutheillet (2011), Yang and Templeton (1987), Wang et al (2011) and Zhang and Wang (2013). On the one hand, the assumption of the number of infinite sources covers general modeling opportunities and may lead to some efficient algorithms (Ajmone Marsan et al, 2001;Do, 2010aDo, , 2010bDo and Chakka, 2010;Do et al, 2013;Tran-Gia and Mandjes, 1997) for the performance evaluation of systems.…”

Section: Introductionmentioning

confidence: 99%

A New Finite-Source Queueing Model for Mobile Cellular Networks Applying Spectrum Renting

Wüchner

Asia Pac. J. Oper. Res.

et al. 2014

This paper proposes a retrial queueing model with the finite number of sources to evaluate the performance of spectrum renting in mobile cellular networks. The model incorporates necessary ingredients such as the finite number of subscribers, their impatience and a queue for the outbound service. To consider the specific feature of spectrum renting and the current mobile cellular technology, a variable number of servers that are switched on and off in groups is introduced. We present a novel way to take into account the renting * Corresponding author. 1440004-1 2nd ReadingJanuary 21, 2014 9:50 WSPC/S0217-5959 APJOR 1440004.tex T. V. Do et al.fee, which can be used to fine-tune the operation of the spectrum renting procedure. Numerical results show that it is still profitable to initiate a spectrum renting request at high loads, even if no discount is offered by the frequency bands' owners.