Download PDF by Dieter Fiems, Veronique Inghelbrecht, Bart Steyaert, Herwig: Analytical and Stochastic Modeling Techniques and

By Dieter Fiems, Veronique Inghelbrecht, Bart Steyaert, Herwig Bruneel (auth.), Khalid Al-Begain, Armin Heindl, Miklós Telek (eds.)

ISBN-10: 354068980X

ISBN-13: 9783540689805

ISBN-10: 3540689826

ISBN-13: 9783540689829

This publication constitutes the refereed complaints of the fifteenth overseas convention on Analytical and Stochastic Modeling ideas and functions, ASMTA 2008, held in Nicosia, Cyprus, in June 2008 together with ECMS 2008, the twenty second ecu convention on Modeling and Simulation.

The 22 revised complete papers awarded have been conscientiously reviewed and chosen from fifty five submissions. The papers are equipped in topical sections on site visitors modeling, queueing structures, analytical equipment and functions, distributions in stochastic modeling, queueing networks, simulation and version checking, in addition to instant networks.

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Extra info for Analytical and Stochastic Modeling Techniques and Applications: 15th International Conference, ASMTA 2008 Nicosia, Cyprus, June 4-6, 2008 Proceedings

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Definition 2. Let the Batch Markovian Arrival Process (BMAP) be defined as a markovian arrival process with infinitesimal generator matrix: ⎛ ⎞ D0 D1 D2 D3 . . ⎜ 0 D0 D1 D2 . . ⎟ ⎜ ⎟ Q = ⎜ 0 0 D0 D1 . . ⎟ ⎝ ⎠ .. .. . ,∞ being (m × m) matrices defined by: (D0 )ii = −λi , 1≤i≤m (D0 )ij = λi pi (0, j), 1 ≤ i, j ≤ m ∧ i = j (Dk )ij = λi pi (k, j), 1 ≤ i, j ≤ m ∧ k > 0 m ∞ m pi (0, j) + j=1 j=i pi (k, j) = 1, 1≤i≤m k=1 j=1 ♦ Here pi (k, j) denotes the probability that – given the process is in state i – a transition to state j occurs with a batch arrival of size k.

Modeling IP traffic using the batch Markovian arrival process. Perform. Eval. : Matrix Analysis for Scientists and Engineers. : Threshold Workload Control in the BMAP/G/1 Queue. In: International Conference on the Quantitative Evaluation of Systems (QEST), pp. 353–364. : New results for the single server queue with a batch Markovian arrival process. Stoch. Mod. : The BMAP/G/1 queue: a tutorial, Models and Techniques for Performance Evaluation of Computer and Communication Systems. , Nelson, R. ), pp.

Being (m × m) matrices defined by: (D0 )ii = −λi , 1≤i≤m (D0 )ij = λi pi (0, j), 1 ≤ i, j ≤ m ∧ i = j (Dk )ij = λi pi (k, j), 1 ≤ i, j ≤ m ∧ k > 0 m ∞ m pi (0, j) + j=1 j=i pi (k, j) = 1, 1≤i≤m k=1 j=1 ♦ Here pi (k, j) denotes the probability that – given the process is in state i – a transition to state j occurs with a batch arrival of size k. Thus, we are able to model arbitrary discrete distributions with possibly infinite support. The overall rate with which the process leaves state i is given by λi .

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Analytical and Stochastic Modeling Techniques and Applications: 15th International Conference, ASMTA 2008 Nicosia, Cyprus, June 4-6, 2008 Proceedings by Dieter Fiems, Veronique Inghelbrecht, Bart Steyaert, Herwig Bruneel (auth.), Khalid Al-Begain, Armin Heindl, Miklós Telek (eds.)


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