A Markovian queue with varying number of servers and applications to the performance comparison of HSDPA user equipment

Do, Tien Van; Chakka, Ram; H., Nam; Pap, László

doi:10.1007/s00236-011-0138-7

Cited by 5 publications

(2 citation statements)

References 16 publications

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“…The spectral expansion method is proved to be a mature technique for the performance analysis of various problems [4,6,7,14,[19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38]. The examples include the performance evaluation of Optical Burst/Packet (OBS) Switching networks [24,39], MPLS networks [23,30], the Apache web server [7], and wireless networks [6,24,28,40].…”

Section: Discussionmentioning

confidence: 99%

Spectral Expansion Solution Methodology for QBD-M Processes and Applications in Future Internet Engineering

Chakka²,

Sztrik

2013

Studies in Computational Intelligence

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Abstract. Quasi Simultaneous-Multiple Births and Deaths (QBD-M)Processes are used to model many of the traffic, service and related problems in modern communication systems. Their importance is on the increase due to the great strides that are taking place in telecommunication systems and networks. This paper presents the overview of the Spectral Expansion (SE) for the steady state solution of QBD-M processes and applications in future Internet engineering.

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Section: Discussionmentioning

confidence: 99%

Spectral Expansion Solution Methodology for QBD-M Processes and Applications in Future Internet Engineering

Chakka²,

Sztrik

2013

Studies in Computational Intelligence

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“…Discrete-time queues were analyzed in [27,28,29]. Queues with negative customers have used extensively to model breakdowns, packet losses, task terminations in speculative parallelism, faulty components in manufacturing systems, server breakdowns and a reaction network of interacting molecules [30,31,32,33,34,35], Optical Burst/Packet (OBS) Switching networks [36], wireless networks [33,37,38], failures in manufacturing cells [39]. The bibliography on G-networks and negative customers can be found in [40].…”

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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On the Properties of Generalised Markovian Queues with Heterogeneous Servers

Chakka²

2013

Advanced Computational Methods for Knowledge Engineering

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A Markovian queue with varying number of servers and applications to the performance comparison of HSDPA user equipment

Cited by 5 publications

References 16 publications

Spectral Expansion Solution Methodology for QBD-M Processes and Applications in Future Internet Engineering

Spectral Expansion Solution Methodology for QBD-M Processes and Applications in Future Internet Engineering

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

On the Properties of Generalised Markovian Queues with Heterogeneous Servers

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