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Author: Jose M. Brazio Publisher: ISBN: Category : Packet switching (Data transmission) Languages : en Pages : 33
Book Description
Consider multihop packet radio networks operating under a general class of channel access protocols. For the purpose of throughput analysis, analytical models are considered which describe the joint activity of the transmitters in the network, under the assumptions of heavy traffic and zero propagation and processing delays. The problem addressed in this report is that of finding conditions for the existence of product form solutions for the steady-state probabilities of these models. The main result states that a necessary and sufficient conditions for a given network topology, channel access protocol, and traffic pattern, to lead to a product form solution is that the blocking between each pair of used links, as specified by the access protocol, by symmetric. This result assumes Poisson scheduling point processes associated with the links of the network. The proof is given in two steps: first, for systems where all packet length distributions are exponential, giving rise to Markovian processes; and second, for general packet length distributions (subject to the restriction of possessing a positive density almost everywhere), giving rise to Generalized Semi-Markov Processes. It is also shown that a product form solution does not exist whenever any of the scheduling point process in the network is not Poisson. In addition, it is proven that the computation of the normalization factor appearing in the expression of the product form solution is an NP-hard problem. (rh).
Author: Jose M. Brazio Publisher: ISBN: Category : Packet switching (Data transmission) Languages : en Pages : 33
Book Description
Consider multihop packet radio networks operating under a general class of channel access protocols. For the purpose of throughput analysis, analytical models are considered which describe the joint activity of the transmitters in the network, under the assumptions of heavy traffic and zero propagation and processing delays. The problem addressed in this report is that of finding conditions for the existence of product form solutions for the steady-state probabilities of these models. The main result states that a necessary and sufficient conditions for a given network topology, channel access protocol, and traffic pattern, to lead to a product form solution is that the blocking between each pair of used links, as specified by the access protocol, by symmetric. This result assumes Poisson scheduling point processes associated with the links of the network. The proof is given in two steps: first, for systems where all packet length distributions are exponential, giving rise to Markovian processes; and second, for general packet length distributions (subject to the restriction of possessing a positive density almost everywhere), giving rise to Generalized Semi-Markov Processes. It is also shown that a product form solution does not exist whenever any of the scheduling point process in the network is not Poisson. In addition, it is proven that the computation of the normalization factor appearing in the expression of the product form solution is an NP-hard problem. (rh).
Author: N. M. van Dijk Publisher: ISBN: Category : Mathematics Languages : en Pages : 306
Book Description
This book, the first presentation and survey of its kind, aims to provide simple, practical insights by which both researchers and practitioners may benefit in enabling them to recognize when closed form expressions can be expected for steady state probabilities. In particular, it shows how these same insights can be used to develop simple bounds for systems that are non-solvable when practical features are taken into account.
Author: Peter J. B. King Publisher: North Holland ISBN: Category : Computers Languages : en Pages : 442
Book Description
The papers collected in this book form a substantial body of original research in the area of modelling and performance evaluation of computer and communication systems. Problems of theoretical and practical interest are addressed, a variety of solution methods are employed and a number of new results are obtained. Indicative of the continuing high level of activity in this field is the fact that the authors featured here represent industrial organisations and academic institutions in ten countries and four continents.
Author: Jeff Kennington Publisher: Springer Science & Business Media ISBN: 1441961119 Category : Business & Economics Languages : en Pages : 384
Book Description
This book surveys state-of-the-art optimization modeling for design, analysis, and management of wireless networks, such as cellular and wireless local area networks (LANs), and the services they deliver. The past two decades have seen a tremendous growth in the deployment and use of wireless networks. The current-generation wireless systems can provide mobile users with high-speed data services at rates substantially higher than those of the previous generation. As a result, the demand for mobile information services with high reliability, fast response times, and ubiquitous connectivity continues to increase rapidly. The optimization of system performance has become critically important both in terms of practical utility and commercial viability, and presents a rich area for research. In the editors' previous work on traditional wired networks, we have observed that designing low cost, survivable telecommunication networks involves extremely complicated processes. Commercial products available to help with this task typically have been based on simulation and/or proprietary heuristics. As demonstrated in this book, however, mathematical programming deserves a prominent place in the designer's toolkit. Convenient modeling languages and powerful optimization solvers have greatly facilitated the implementation of mathematical programming theory into the practice of commercial network design. These points are equally relevant and applicable in today’s world of wireless network technology and design. But there are new issues as well: many wireless network design decisions, such as routing and facility/element location, must be dealt with in innovative ways that are unique and distinct from wired (fiber optic) networks. The book specifically treats the recent research and the use of modeling languages and network optimization techniques that are playing particularly important and distinctive roles in the wireless domain.
Author: Jose M. Brazio
Author: Jose M. Brazio
Author: N. M. van Dijk
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Author: Peter J. B. King
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Author: Jeff Kennington
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