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Controlled Stochastic Processes

Author : I. I. Gihman
Publisher : Springer Science & Business Media
Page : 242 pages
File Size : 40,8 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 146126202X

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The theory of controlled processes is one of the most recent mathematical theories to show very important applications in modern engineering, parti cularly for constructing automatic control systems, as well as for problems of economic control. However, actual systems subject to control do not admit a strictly deterministic analysis in view of random factors of various kinds which influence their behavior. Such factors include, for example, random noise occurring in the electrical system, variations in the supply and demand of commodities, fluctuations in the labor force in economics, and random failures of components on an automated line. The theory of con trolled processes takes the random nature of the behavior of a system into account. In such cases it is natural, when choosing a control strategy, to proceed from the average expected result, taking note of all the possible variants of the behavior of a controlled system. An extensive literature is devoted to various economic and engineering systems of control (some of these works are listed in the Bibliography). is no text which adequately covers the general However, as of now there mathematical theory of controlled processes. The authors ofthis monograph have attempted to fill this gap. In this volume the general theory of discrete-parameter (time) controlled processes (Chapter 1) and those with continuous-time (Chapter 2), as well as the theory of controlled stochastic differential equations (Chapter 3), are presented.

Theoretical Computer Science

Author : Carlo Blundo
Publisher : Springer Science & Business Media
Page : 408 pages
File Size : 31,90 MB
Release : 2003-09-29
Category : Computers
ISBN : 3540202161

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This book constitutes the refereed proceedings of the 8th Italian Conference on Theoretical Computer Science, ICTCS 2003, held in Bertinoro, Italy in October 2003. The 27 revised full papers presented together with an invited paper and abstracts of 2 invited talks were carefully reviewed and selected from 65 submissions. The papers are organized in topical sections on program design-models and analysis, algorithms and complexity, semantics and formal languages, and security and cryptography.

Validation of Stochastic Systems

Author : Christel Baier
Publisher : Springer Science & Business Media
Page : 473 pages
File Size : 38,12 MB
Release : 2004-08-11
Category : Mathematics
ISBN : 3540222650

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This tutorial volume presents a coherent and well-balanced introduction to the validation of stochastic systems; it is based on a GI/Dagstuhl research seminar. Supervised by the seminar organizers and volume editors, established researchers in the area as well as graduate students put together a collection of articles competently covering all relevant issues in the area. The lectures are organized in topical sections on: modeling stochastic systems, model checking of stochastic systems, representing large state spaces, deductive verification of stochastic systems.

Essentials of Stochastic Processes

Author : Richard Durrett
Publisher : Springer
Page : 282 pages
File Size : 13,1 MB
Release : 2016-11-07
Category : Mathematics
ISBN : 3319456148

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Building upon the previous editions, this textbook is a first course in stochastic processes taken by undergraduate and graduate students (MS and PhD students from math, statistics, economics, computer science, engineering, and finance departments) who have had a course in probability theory. It covers Markov chains in discrete and continuous time, Poisson processes, renewal processes, martingales, and option pricing. One can only learn a subject by seeing it in action, so there are a large number of examples and more than 300 carefully chosen exercises to deepen the reader’s understanding. Drawing from teaching experience and student feedback, there are many new examples and problems with solutions that use TI-83 to eliminate the tedious details of solving linear equations by hand, and the collection of exercises is much improved, with many more biological examples. Originally included in previous editions, material too advanced for this first course in stochastic processes has been eliminated while treatment of other topics useful for applications has been expanded. In addition, the ordering of topics has been improved; for example, the difficult subject of martingales is delayed until its usefulness can be applied in the treatment of mathematical finance.

Formal Methods and Stochastic Models for Performance Evaluation

Author : Katinka Wolter
Publisher : Springer
Page : 310 pages
File Size : 15,9 MB
Release : 2007-09-08
Category : Computers
ISBN : 3540752110

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This book constitutes the refereed proceedings of the 4th European Performance Engineering Workshop, EPEW 2007, held in Berlin, Germany, September 27-28, 2007. The 20 revised full papers presented were carefully reviewed and selected from 53 submissions. The papers are organized in topical sections on Markov Chains, Process Algebra, Wireless Networks, Queueing Theory and Applications of Queueing, Benchmarking and Bounding, Grid and Peer-to-Peer Systems.

Runtime Verification

Author : Howard Barringer
Publisher : Springer Science & Business Media
Page : 503 pages
File Size : 35,61 MB
Release : 2010-10-19
Category : Computers
ISBN : 3642166113

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This book constitutes the thoroughly refereed conference proceedings of the First International Conference on Runtime Verification, RV 2010, held in St. Julians, Malta, in November 2010. The 23 revised full papers presented together with 6 invited papers, 6 tutorials and 4 tool demonstrations were carefully reviewed and selected from 74 submissions. The papers address a wide range of topics such as runtime monitoring, analysis and verification, statically and dynamical, runtime simulations, together with applications in malware analysis and failure recovery, as well as execution tracing in embedded systems.

Process Algebra and Probabilistic Methods. Performance Modelling and Verification

Author : Luca de Alfaro
Publisher : Springer
Page : 228 pages
File Size : 29,40 MB
Release : 2003-06-30
Category : Mathematics
ISBN : 3540448047

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This book constitutes the refereed proceedings of the Joint Workshop on Process Algebra and Performance Modeling and Probabilistic Methods in Verification, PAPM-PROBMIV 2001, held in Aachen, Germany in September 2001. The 12 revised full papers presented together with one invited paper were carefully reviewed and selected from 23 submissions. Among the topics addressed are model representation, model checking, probabilistic systems analysis, refinement, Markov chains, random variables, stochastic timed systems, Max-Plus algebra, process algebra, system modeling, and the Mobius modeling framework.