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Correlated Traffic Modelling: Batch Renewal and Markov Modulated Processes [chapter]

Rod Fretwell, Demetres Kouvatsos
1997 IFIP Advances in Information and Communication Technology  
The batch renewal process is the ideal of a correlated traffic process and so provides the standard (in terms of buffer congestion, etc.) against which the performance impact of any other correlated traffic  ...  This paper presents results of the experiment as performed upon the Markov modulated processes, together with further analysis to assess the applicability of the findings, and concludes that a Markov modulated  ...  and distinguishes what is meant here by "Markov modulated process" from other models of correlated traffic.  ... 
doi:10.1007/978-0-387-35185-8_2 fatcat:jbfmslnkojdx5pco6ve4fqxq3y

Closed Form Performance Distributions of a Discrete Time GIG/D/1/N Queue with Correlated Traffic [chapter]

Demetres Kouvatsos, Rod Fretwell
1996 Data Communications and their Performance  
traffic is modelled as a batch renewal process.  ...  Keywords asynchronous transfer mode (ATM), batch renewal process, correlated traffic, least biased process, discrete time queue, performance distributions S. Fdida et al.  ...  The indices of dispersion have been proposed as appropriate characterisation of bursty, correlated traffic and Markov modulated processes as models of sources of bursty traffic with correlation.  ... 
doi:10.1007/978-0-387-34942-8_10 fatcat:qmeg3faz7rg7ppkwtq37fko3ta

Discrete-time Models for Connection Admission Control (CAC) in ATM [chapter]

Christoph Herrmann
1995 Performance Modelling and Evaluation of ATM Networks  
In the G~xl+G2-input, G1 and G2 produce (correlated) interarrival times and the independent LV. X generates the size of the batch arriving, when G1 produces an arrival.  ...  process).  ...  Briem, Stuttgart, for some details about an algorithm mentioned in [4] and a literature hint.  ... 
doi:10.1007/978-0-387-34881-0_6 fatcat:b3kh2v4gwnc7tgte6wy3zmnj2m

D-BMAP Models for Performance Evaluation of ATM Networks [chapter]

John A. Silvester, Nelson L. S. Fonseca, Stanley S. Wang
1995 Performance Modelling and Evaluation of ATM Networks  
Many recent studies make use of multi-state Markov modulated arrival processes to model different types of multimedia traffic.  ...  We are also interested in network-wide performance evaluation and propose models that make use of similar two-state Markov models to represent both external and internal traffic.  ...  Markov modulated arrival processes.  ... 
doi:10.1007/978-0-387-34881-0_17 fatcat:tv56jaxrsbapze4xxlegd2gnli

Models of the departure process of a BMAP/MAP/1 queue

Qi Zhang, Armin Heindl, Evgenia Smirni
2005 Performance Evaluation Review  
Special cases of BMAPs include Poisson processes, phase-type (PH) renewal processes, Markov-modulated Poisson processes (MMPPs), and Markovian arrival processes (MAPs).  ...  Introduction Complex computer and communication systems are often modeled by queueing networks, with their arrival and/or service processes exhibiting correlations.  ... 
doi:10.1145/1101892.1101899 fatcat:pav5mh3tj5bfffl4qodnyw2zby

An integrated analytical model for computation and comparison of the throughputs of the UMTS/HSDPA user equipment categories

Tien Van Do, Ram Chakka, Peter G. Harrison
2007 Proceedings of the 10th ACM Symposium on Modeling, analysis, and simulation of wireless and mobile systems - MSWiM '07  
This queue is, essentially, an important variant of the so-called Sigma queuing model, and it is able to capture most of the features of HSDPA wireless communications, such as trafficburstiness, channel  ...  Numerical results for the performance of HSDPA with respect to a specified user are obtained, and different HSDPA user equipment categories are compared with respect to their computed model throughputs  ...  : (i) the modulating process of the arrival traffic, (ii) the Markov process characterizing (modulating) the fading channel behavior [11] , and (iii) the Markov process representing the channel allocation  ... 
doi:10.1145/1298126.1298137 dblp:conf/mswim/DoCH07 fatcat:uplexxuxprerjcdesi3izuw2ly

New results on the single server queue with a batch markovian arrival process

David M. Lucantoni
1991 Communications in Statistics Stochastic Models  
Algorithms for the special cases of the PHIG/I and MMPPIGII queues are highlighted as these models are receiving renewed attention in the literature and the new algorithms proposed here are simpler than  ...  We generalize these results to the single server queue with the batch arrival process and emphasize the resulting simplifications.  ...  Among them are the phase-type (PH) renewal process, the Markov modulated Poisson process (MMPP), overflows from finite Markovian queues, etc.  ... 
doi:10.1080/15326349108807174 fatcat:xona5d25yrdkdnc4k7nc4qx3xm

A unified approach for modeling and analysis of a versatile batch-service queue with correlated arrival

S Pradhan, UC Gupta
2015 2015 Winter Simulation Conference (WSC)  
A batch-service queue with Markovian arrival process can be adopted to deal with highly correlated systems which arises in high speed telecommunication networks.  ...  However, we carry out modeling and analysis of this queue by developing an analytically tractable methodology which is based on bivariate vector generating function.  ...  The MAP, a rich class of stochastic counting process, includes most commonly used arrival processes such as the Poisson process, the phase-type (PH) renewal process, the Markov-modulated Poisson process  ... 
doi:10.1109/wsc.2015.7408485 dblp:conf/wsc/PradhanG15 fatcat:ajxykg5xozaahnyu6kjexnojq4

An Analytical Description of the Packet Train Model for LAN traffic characterization [chapter]

Maurice Gagnaire, Daniel Kofman, Hayri Korezlioglu
1995 Performance Modelling and Evaluation of ATM Networks  
Unfortunately, none of these models correspond to real traffic measurements.  ...  In reference to the logarithm histogram of frame interdeparture times from a token ring, Jain and Routhier have proposed an empirical model called the packet train model.  ...  In Section 3, we give an analytical formulation of this empirical model. Our formulation is based on Markov modulated Poisson processes (MMPP) (cf. [9] ).  ... 
doi:10.1007/978-0-387-34881-0_1 fatcat:voh4oaaop5dwbgy5i7arnbax7u

Elucidating the Short Term Loss Behavior of Markovian-Modulated Batch-Service Queueing Model with Discrete-Time Batch Markovian Arrival Process

Yung-Chung Wang, Dong-Liang Cai, Li-Hsin Chiang, Cheng-Wei Hu
2014 Mathematical Problems in Engineering  
The service process is correlated and its structure is presented through discrete-time batch Markovian service process (DBMSP).  ...  This paper applies a matrix-analytical approach to analyze the temporal behavior of Markovian-modulated batch-service queue with discrete-time batch Markovian arrival process (DBMAP).  ...  Like the DBMAP, discrete-time batch Markovian service process (DBMSP) is a versatile service process and can capture the correlation among the service times.  ... 
doi:10.1155/2014/814810 fatcat:rw7vpw75avgennjenxgdu6n62m

Analysis and modelling of ATM (AAL5) traffic traces [chapter]

Madhu D. K. Bhabuta, Peter G. Harrison
2000 IFIP Advances in Information and Communication Technology  
This traffic is modelled firstly using an autoregressive process and then the well known Markov Modulated Poisson Process {MMPP).  ...  The correlations between inter-arrival times of sessions for traffic from heavily utilised sites is insignificant at the 5% significance level and a Poisson Point process is thus appropriate as a model  ...  Section 4 considers models for correlated traffic using techniques from time series analysis. The autocorrelation function is then used to parameterise a Markov Modulated Poisson Process (MMPP).  ... 
doi:10.1007/978-0-387-35353-1_2 fatcat:ghinqgdsczetdj47y3n6ydlsge

A Survey of VBR Video Traffic Models

Savera Tanwir, Harry Perros
2013 IEEE Communications Surveys and Tutorials  
These models are: the Markov Modulated Gamma (MMG) model, the Discrete Autoregressive (DAR) model, the second order Autoregressive AR(2) model, and a wavelet-based model.  ...  The results show that the MMG and the wavelet-based models are suitable for both video conference and IPTV, while the DAR model is good for video conference traffic only.  ...  Zhao et al [52] , [53] proposed a traffic model for slow motion MPEG-4 video which is based on a Markov modulated process with correlated batch arrivals.  ... 
doi:10.1109/surv.2013.010413.00071 fatcat:uusjfngxl5fvtbdrunlci7bvuu

Methodology for traffic modeling using two-state Markov-modulated Bernoulli process

C.-H. Ng, L. Yuan, W. Fu, L. Zhang
1999 Computer Communications  
In this paper, we systematically present the methodology of modeling bursty traffic sources using the 2-state Markov Modulated Bernoulli Process (called MMBP-2).  ...  We first defined the parameters of the model and some processes associated with it, and subsequently examined the queue length distribution of an infinite buffer driven by an MMBP-2 with batch arrivals  ...  Markov-modulated arrival model Markov-modulated arrival (MMA) [6, 7] process is a term coined for a broad class of statistical traffic models in which the intensity of the arrival process to a queueing  ... 
doi:10.1016/s0140-3664(99)00114-0 fatcat:7swmxoghsrfvpcbf3rz2qculzy

Generalized QBD Processes, Spectral Expansion and Performance Modeling Applications [chapter]

Tien Van Do, Ram Chakka
2011 Lecture Notes in Computer Science  
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  ...  These models are essentially based on certain generalizations of the Quasi Birth-Death (QBD) processes.  ...  Acknowledgement Ram Chakka thanks the Chancellor of Sri Sathya Sai University, Prasanthi Nilayam, India, for constant encouragement, guidance and inspiration throughout this work.  ... 
doi:10.1007/978-3-642-02742-0_26 fatcat:27dxhezai5ccpng47ylzgwgxf4

Characterizing the BMAP/MAP/1 Departure Process via the ETAQA Truncation

Qi Zhang, Armin Heindl, Evgenia Smirni
2005 Stochastic Models  
This output approximation preserves exactly the marginal distribution of the true departure process and the lag correlations of the interdeparture times up to lag n − 2.  ...  ETAQA provides a finite-dimensional representation of this M/G/1-type Markov process and exactly preserves the level distribution, i.e., the stationary probability distribution of the BMAP/MAP/1 queue,  ...  Special cases of BMAPs include Poisson processes, phase-type (PH) renewal processes, Markov-modulated Poisson processes (MMPPs), and Markovian arrival processes (MAPs).  ... 
doi:10.1081/stm-200056221 fatcat:vy6pb4x3fnhqxdvqiho37wikbm
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