Finite-source retrial queue with search for balking and impatient customers from the orbit

Wüchner, Patrick; Sztrik, János; Meer, Hermann de

doi:10.1016/j.comnet.2009.02.015

Cited by 38 publications

(19 citation statements)

References 18 publications

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“…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

Bérczes

et al. 2014

Asia Pac. J. Oper. Res.

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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.

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Section: Introductionmentioning

confidence: 99%

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

Wüchner

Bérczes

et al. 2014

Asia Pac. J. Oper. Res.

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“…Vacation queues and retrial queues have been applied to evaluate the performance of various systems [1,2,3,4,5,6,7,8,9,10]. Recently, the M/M/1 retrial queue with working vacations was introduced [11] and analyzed.…”

Section: Introductionmentioning

confidence: 99%

M/M/1 retrial queue with working vacations and negative customer arrivals

Papp

Chakka

et al. 2014

IJAIP

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Abstract:The M/M/1 retrial queue with working vacations and negative customers is introduced. The arrival processes of positive customers and negative customers are Poisson. Upon the arrival of a positive customer, if the server is busy the customer would enter an orbit of infinite size and the orbital customers send their requests for service with a constant retrial rate. The single server takes an exponential working vacation once customers being served depart from the system and no customers are in the orbit. Arriving negative customers kill a batch of the positive customers waiting in the orbit randomly. Efficient methodology to compute the stationary distribution for this new queue is developed and presented. Keywords: retrial queue, working vacations, negative customersReference to this paper should be made as follows: Do, T.V, Papp, D., Chakka, R., Sztrik, J. He has participated and lead work packages in the COPERNICUS-ATMIN 1463, the FP4 ACTS AC310 ELISA, FP5 HELINET, FP6 CAPANINA projects funded by EC (where he acted as a work package leader). He led various projects on network planning and software implementations that results are directly used for industry such ATM & IP network planning software for Hungarian Telekom, GGSN tester for Nokia, performance testing program for the performance testing of the NOKIAs IMS product, automatic software testing framework for Nokia Siemens Networks. His research interests are queuing theory, telecommunication networks, cloud computing, performance evaluation and planning of ICT Systems.Denes Papp is a researcher in the Analysis, Design and Development of ICT systems (AddICT) Laboratory. He has participated in various software projects with NOKIA and Nokia Siemens Networks.

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“…Transitions in a QBD process are possible within the same level or between adjacent levels. It is observed that QBD processes create a useful framework for the performability analysis pertaining to many problems occurring in telecommunications and computer networks [4,8,18,20,23,36,40,42,45,56,57].…”

Section: Introductionmentioning

confidence: 99%

Generalized QBD Processes, Spectral Expansion and Performance Modeling Applications

Chakka²

2011

Network Performance Engineering

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Abstract. This paper suggests new queuing models, in the Markovian framework, which can tackle the presence of burstiness in the traffic and autocorrelations among the inter-arrival times of packets in the performance evaluation of next generation networks. These models are essentially based on certain generalizations of the Quasi Birth-Death (QBD) processes. Efficient steady state solution of these new queuing models, along with some illustrative applications, is presented. The proposed models and their further evolutions have the potential to be useful tools for the performance evaluation of modern telecommunication networks.

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Finite-source retrial queue with search for balking and impatient customers from the orbit

Cited by 38 publications

References 18 publications

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

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

M/M/1 retrial queue with working vacations and negative customer arrivals

Generalized QBD Processes, Spectral Expansion and Performance Modeling Applications

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