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

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

This booklet constitutes the refereed lawsuits of the fifteenth overseas convention on Analytical and Stochastic Modeling suggestions and purposes, 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 offered have been rigorously reviewed and chosen from fifty five submissions. The papers are equipped in topical sections on site visitors modeling, queueing structures, analytical tools and functions, distributions in stochastic modeling, queueing networks, simulation and version checking, in addition to instant networks.

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

Sample text

Because load measurements for IFS are hard or impossible to perform. e. an interface closer to the enduser or the application. g. e. the secondary load which is induced by PL). The concept of load transformation has been successfully applied to solve a number of problems: In [WZHB02] the distribution of packet lengths for fragmented loads was derived. The authors applied these results to M P EG video streams. In [HW07a] analytical transformations based on BM AP s were given for fragmentation and sliding window procedures.

We give proofs for several distribution types in the following. These results allow the simplification of models for fragmented loads, especially for the transmission over channels with high error rates, for which lower values of the maximum fragment length are advantageous in order to ensure a higher throughput. We first state the general condition under which the distribution of fragmented packet lengths equals the uniform distribution. We then specialize this result to the normal resp. negative exponential distribution.

Requests are passed via interface IF , which separates the service system from its environment. ♦ The load L can be described by a sequence of arriving requests ri arriving during time interval T . For a well defined load L we define the arrival process as tuples Arrivals Departures IF7 IF1 Layer Si Fragmentation Reassembly IF2 IF6 Layer Si−1 IF4 Header Generation Header Removal IF3 Wireless Link IF5 Access Network Fig. 1. Packet Transmission as a Sequence of Transformations 34 S. E. Wolfinger of request ri and corresponding arrival time ti {(ri , ti )|ri ∈ Ri , t1 ≤ t2 ≤ ...

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