Stochastic Modelling in Process Technology Book

Stochastic Modelling in Process Technology


  • Author : Herold G. Dehling
  • Publisher : Elsevier
  • Release Date : 2007-07-03
  • Genre: Mathematics
  • Pages : 290
  • ISBN 10 : 0080548970

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Stochastic Modelling in Process Technology Book Description :

There is an ever increasing need for modelling complex processes reliably. Computational modelling techniques, such as CFD and MD may be used as tools to study specific systems, but their emergence has not decreased the need for generic, analytical process models. Multiphase and multicomponent systems, and high-intensity processes displaying a highly complex behaviour are becoming omnipresent in the processing industry. This book discusses an elegant, but little-known technique for formulating process models in process technology: stochastic process modelling. The technique is based on computing the probability distribution for a single particle's position in the process vessel, and/or the particle's properties, as a function of time, rather than - as is traditionally done - basing the model on the formulation and solution of differential conservation equations. Using this technique can greatly simplify the formulation of a model, and even make modelling possible for processes so complex that the traditional method is impracticable. Stochastic modelling has sporadically been used in various branches of process technology under various names and guises. This book gives, as the first, an overview of this work, and shows how these techniques are similar in nature, and make use of the same basic mathematical tools and techniques. The book also demonstrates how stochastic modelling may be implemented by describing example cases, and shows how a stochastic model may be formulated for a case, which cannot be described by formulating and solving differential balance equations. Introduction to stochastic process modelling as an alternative modelling technique Shows how stochastic modelling may be succesful where the traditional technique fails Overview of stochastic modelling in process technology in the research literature Illustration of the principle by a wide range of practical examples In-depth and self-contained discussions Points the way to both mathematical and techn

Markov Processes for Stochastic Modeling Book

Markov Processes for Stochastic Modeling


  • Author : Oliver Ibe
  • Publisher : Newnes
  • Release Date : 2013-05-22
  • Genre: Mathematics
  • Pages : 514
  • ISBN 10 : 9780124078390

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Markov Processes for Stochastic Modeling Book Description :

Markov processes are processes that have limited memory. In particular, their dependence on the past is only through the previous state. They are used to model the behavior of many systems including communications systems, transportation networks, image segmentation and analysis, biological systems and DNA sequence analysis, random atomic motion and diffusion in physics, social mobility, population studies, epidemiology, animal and insect migration, queueing systems, resource management, dams, financial engineering, actuarial science, and decision systems. Covering a wide range of areas of application of Markov processes, this second edition is revised to highlight the most important aspects as well as the most recent trends and applications of Markov processes. The author spent over 16 years in the industry before returning to academia, and he has applied many of the principles covered in this book in multiple research projects. Therefore, this is an applications-oriented book that also includes enough theory to provide a solid ground in the subject for the reader. Presents both the theory and applications of the different aspects of Markov processes Includes numerous solved examples as well as detailed diagrams that make it easier to understand the principle being presented Discusses different applications of hidden Markov models, such as DNA sequence analysis and speech analysis.

Stochastic Processes and Models in Operations Research Book

Stochastic Processes and Models in Operations Research


  • Author : Anbazhagan, Neelamegam
  • Publisher : IGI Global
  • Release Date : 2016-03-24
  • Genre: Business & Economics
  • Pages : 338
  • ISBN 10 : 9781522500452

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Stochastic Processes and Models in Operations Research Book Description :

Decision-making is an important task no matter the industry. Operations research, as a discipline, helps alleviate decision-making problems through the extraction of reliable information related to the task at hand in order to come to a viable solution. Integrating stochastic processes into operations research and management can further aid in the decision-making process for industrial and management problems. Stochastic Processes and Models in Operations Research emphasizes mathematical tools and equations relevant for solving complex problems within business and industrial settings. This research-based publication aims to assist scholars, researchers, operations managers, and graduate-level students by providing comprehensive exposure to the concepts, trends, and technologies relevant to stochastic process modeling to solve operations research problems.

Deterministic Versus Stochastic Modelling in Biochemistry and Systems Biology Book

Deterministic Versus Stochastic Modelling in Biochemistry and Systems Biology


  • Author : Paulo Lecca
  • Publisher : Elsevier
  • Release Date : 2013-04-09
  • Genre: Mathematics
  • Pages : 390
  • ISBN 10 : 9781908818218

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Deterministic Versus Stochastic Modelling in Biochemistry and Systems Biology Book Description :

Stochastic kinetic methods are currently considered to be the most realistic and elegant means of representing and simulating the dynamics of biochemical and biological networks. Deterministic versus stochastic modelling in biochemistry and systems biology introduces and critically reviews the deterministic and stochastic foundations of biochemical kinetics, covering applied stochastic process theory for application in the field of modelling and simulation of biological processes at the molecular scale. Following an overview of deterministic chemical kinetics and the stochastic approach to biochemical kinetics, the book goes onto discuss the specifics of stochastic simulation algorithms, modelling in systems biology and the structure of biochemical models. Later chapters cover reaction-diffusion systems, and provide an analysis of the Kinfer and BlenX software systems. The final chapter looks at simulation of ecodynamics and food web dynamics. Introduces mathematical concepts and formalisms of deterministic and stochastic modelling through clear and simple examples Presents recently developed discrete stochastic formalisms for modelling biological systems and processes Describes and applies stochastic simulation algorithms to implement a stochastic formulation of biochemical and biological kinetics

Stochastic Models In Engineering  Technology And Management   Proceedings Of The Australia japan Workshop Book

Stochastic Models In Engineering Technology And Management Proceedings Of The Australia japan Workshop


  • Author : Osaki Shunji
  • Publisher : World Scientific
  • Release Date : 1993-04-27
  • Genre:
  • Pages : 628
  • ISBN 10 : 9789814552875

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Stochastic Models In Engineering Technology And Management Proceedings Of The Australia japan Workshop Book Description :

Chinese Remainder Theorem, CRT, is one of the jewels of mathematics. It is a perfect combination of beauty and utility or, in the words of Horace, omne tulit punctum qui miscuit utile dulci. Known already for ages, CRT continues to present itself in new contexts and open vistas for new types of applications. So far, its usefulness has been obvious within the realm of “three C's”. Computing was its original field of application, and continues to be important as regards various aspects of algorithmics and modular computations. Theory of codes and cryptography are two more recent fields of application.This book tells about CRT, its background and philosophy, history, generalizations and, most importantly, its applications. The book is self-contained. This means that no factual knowledge is assumed on the part of the reader. We even provide brief tutorials on relevant subjects, algebra and information theory. However, some mathematical maturity is surely a prerequisite, as our presentation is at an advanced undergraduate or beginning graduate level. We have tried to make the exposition innovative, many of the individual results being new. We will return to this matter, as well as to the interdependence of the various parts of the book, at the end of the Introduction.A special course about CRT can be based on the book. The individual chapters are largely independent and, consequently, the book can be used as supplementary material for courses in algorithmics, coding theory, cryptography or theory of computing. Of course, the book is also a reference for matters dealing with CRT.

Stochastic Modelling for Systems Biology  Third Edition Book

Stochastic Modelling for Systems Biology Third Edition


  • Author : Darren J. Wilkinson
  • Publisher : CRC Press
  • Release Date : 2018-12-07
  • Genre: Mathematics
  • Pages : 384
  • ISBN 10 : 9781351000901

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Stochastic Modelling for Systems Biology Third Edition Book Description :

Since the first edition of Stochastic Modelling for Systems Biology, there have been many interesting developments in the use of "likelihood-free" methods of Bayesian inference for complex stochastic models. Having been thoroughly updated to reflect this, this third edition covers everything necessary for a good appreciation of stochastic kinetic modelling of biological networks in the systems biology context. New methods and applications are included in the book, and the use of R for practical illustration of the algorithms has been greatly extended. There is a brand new chapter on spatially extended systems, and the statistical inference chapter has also been extended with new methods, including approximate Bayesian computation (ABC). Stochastic Modelling for Systems Biology, Third Edition is now supplemented by an additional software library, written in Scala, described in a new appendix to the book. New in the Third Edition New chapter on spatially extended systems, covering the spatial Gillespie algorithm for reaction diffusion master equation models in 1- and 2-d, along with fast approximations based on the spatial chemical Langevin equation Significantly expanded chapter on inference for stochastic kinetic models from data, covering ABC, including ABC-SMC Updated R package, including code relating to all of the new material New R package for parsing SBML models into simulatable stochastic Petri net models New open-source software library, written in Scala, replicating most of the functionality of the R packages in a fast, compiled, strongly typed, functional language Keeping with the spirit of earlier editions, all of the new theory is presented in a very informal and intuitive manner, keeping the text as accessible as possible to the widest possible readership. An effective introduction to the area of stochastic modelling in computational systems biology, this new edition adds additional detail and computational methods that will provide a stronger foundatio

GPS Stochastic Modelling Book

GPS Stochastic Modelling


  • Author : Xiaoguang Luo
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-07-06
  • Genre: Technology & Engineering
  • Pages : 331
  • ISBN 10 : 9783642348365

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GPS Stochastic Modelling Book Description :

Global Navigation Satellite Systems (GNSS), such as GPS, have become an efficient, reliable and standard tool for a wide range of applications. However, when processing GNSS data, the stochastic model characterising the precision of observations and the correlations between them is usually simplified and incomplete, leading to overly optimistic accuracy estimates. This work extends the stochastic model using signal-to-noise ratio (SNR) measurements and time series analysis of observation residuals. The proposed SNR-based observation weighting model significantly improves the results of GPS data analysis, while the temporal correlation of GPS observation noise can be efficiently described by means of autoregressive moving average (ARMA) processes. Furthermore, this work includes an up-to-date overview of the GNSS error effects and a comprehensive description of various mathematical methods.

Energy Efficiency in Process Technology Book

Energy Efficiency in Process Technology


  • Author : P.A. Pilavachi
  • Publisher : Springer Science & Business Media
  • Release Date : 2012-12-06
  • Genre: Science
  • Pages : 1280
  • ISBN 10 : 9789401114547

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Energy Efficiency in Process Technology Book Description :

Since 1975 the Commission has been stimulating R & D work aimed at energy saving. The conference objective was to provide an international forum for the presentation and discussion of recent R & D relevant to energy efficiency, taking into account environmental aspects, in the energy intensive process industries.

Stochastic Modelling for Systems Biology  Second Edition Book
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Stochastic Modelling for Systems Biology Second Edition


  • Author : Darren J. Wilkinson
  • Publisher : CRC Press
  • Release Date : 2011-11-09
  • Genre: Mathematics
  • Pages : 363
  • ISBN 10 : 9781439837726

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Stochastic Modelling for Systems Biology Second Edition Book Description :

Since the first edition of Stochastic Modelling for Systems Biology, there have been many interesting developments in the use of "likelihood-free" methods of Bayesian inference for complex stochastic models. Re-written to reflect this modern perspective, this second edition covers everything necessary for a good appreciation of stochastic kinetic modelling of biological networks in the systems biology context. Keeping with the spirit of the first edition, all of the new theory is presented in a very informal and intuitive manner, keeping the text as accessible as possible to the widest possible readership. New in the Second Edition All examples have been updated to Systems Biology Markup Language Level 3 All code relating to simulation, analysis, and inference for stochastic kinetic models has been re-written and re-structured in a more modular way An ancillary website provides links, resources, errata, and up-to-date information on installation and use of the associated R package More background material on the theory of Markov processes and stochastic differential equations, providing more substance for mathematically inclined readers Discussion of some of the more advanced concepts relating to stochastic kinetic models, such as random time change representations, Kolmogorov equations, Fokker-Planck equations and the linear noise approximation Simple modelling of "extrinsic" and "intrinsic" noise An effective introduction to the area of stochastic modelling in computational systems biology, this new edition adds additional mathematical detail and computational methods that will provide a stronger foundation for the development of more advanced courses in stochastic biological modelling.

Stochastic Models of Financial Mathematics Book

Stochastic Models of Financial Mathematics


  • Author : Vigirdas Mackevicius
  • Publisher : Elsevier
  • Release Date : 2016-11-08
  • Genre: Mathematics
  • Pages : 130
  • ISBN 10 : 9780081020869

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Stochastic Models of Financial Mathematics Book Description :

This book presents a short introduction to continuous-time financial models. An overview of the basics of stochastic analysis precedes a focus on the Black-Scholes and interest rate models. Other topics covered include self-financing strategies, option pricing, exotic options and risk-neutral probabilities. Vasicek, Cox-Ingersoll-Ross, and Heath-Jarrow-Morton interest rate models are also explored. The author presents practitioners with a basic introduction, with more rigorous information provided for mathematicians. The reader is assumed to be familiar with the basics of probability theory. Some basic knowledge of stochastic integration and differential equations theory is preferable, although all preliminary information is given in the first part of the book. Some relatively simple theoretical exercises are also provided. About continuous-time stochastic models of financial mathematics Black-Sholes model and interest rate models Requiring a minimum knowledge of stochastic integration and stochastic differential equations

Advances in Stochastic Modelling and Data Analysis Book

Advances in Stochastic Modelling and Data Analysis


  • Author : Jacques Janssen
  • Publisher : Springer Science & Business Media
  • Release Date : 2013-04-17
  • Genre: Mathematics
  • Pages : 428
  • ISBN 10 : 9789401706636

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Advances in Stochastic Modelling and Data Analysis Book Description :

Advances in Stochastic Modelling and Data Analysis presents the most recent developments in the field, together with their applications, mainly in the areas of insurance, finance, forecasting and marketing. In addition, the possible interactions between data analysis, artificial intelligence, decision support systems and multicriteria analysis are examined by top researchers. Audience: A wide readership drawn from theoretical and applied mathematicians, such as operations researchers, management scientists, statisticians, computer scientists, bankers, marketing managers, forecasters, and scientific societies such as EURO and TIMS.

Software Process Technology Book

Software Process Technology


  • Author :
  • Publisher :
  • Release Date : 1995
  • Genre: Computer software
  • Pages :
  • ISBN 10 : UOM:39015034876949

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Software Process Technology Book Description :

Stochastic Models in Reliability Engineering Book

Stochastic Models in Reliability Engineering


  • Author : Lirong Cui
  • Publisher : CRC Press
  • Release Date : 2020-09-01
  • Genre: Mathematics
  • Pages : 464
  • ISBN 10 : 9781000094619

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Stochastic Models in Reliability Engineering Book Description :

This book is a collective work by many leading scientists, analysts, mathematicians, and engineers who have been working at the front end of reliability science and engineering. The book covers conventional and contemporary topics in reliability science, all of which have seen extended research activities in recent years. The methods presented in this book are real-world examples that demonstrate improvements in essential reliability and availability for industrial equipment such as medical magnetic resonance imaging, power systems, traction drives for a search and rescue helicopter, and air conditioning systems. The book presents real case studies of redundant multi-state air conditioning systems for chemical laboratories and covers assessments of reliability and fault tolerance and availability calculations. Conventional and contemporary topics in reliability engineering are discussed, including degradation, networks, and dynamic reliability, resilience, and multi-state systems, all of which are relatively new topics to the field. The book is aimed at engineers and scientists, as well as postgraduate students involved in reliability design, analysis, and experiments and applied probability and statistics.

Recent Advances In Stochastic Modeling And Data Analysis Book

Recent Advances In Stochastic Modeling And Data Analysis


  • Author : Christos H Skiadas
  • Publisher : World Scientific
  • Release Date : 2007-11-16
  • Genre: Mathematics
  • Pages : 668
  • ISBN 10 : 9789814474474

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Recent Advances In Stochastic Modeling And Data Analysis Book Description :

This volume presents the most recent applied and methodological issues in stochastic modeling and data analysis. The contributions cover various fields such as stochastic processes and applications, data analysis methods and techniques, Bayesian methods, biostatistics, econometrics, sampling, linear and nonlinear models, networks and queues, survival analysis, and time series. The volume presents new results with potential for solving real-life problems and provides novel methods for solving these problems by analyzing the relevant data. The use of recent advances in different fields is emphasized, especially new optimization and statistical methods, data warehouse, data mining and knowledge systems, neural computing, and bioinformatics.

Sediment Transport Technology Book

Sediment Transport Technology


  • Author : Daryl B. Simons
  • Publisher : Water Resources Publication
  • Release Date : 1992
  • Genre: Technology & Engineering
  • Pages : 897
  • ISBN 10 : 0918334667

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Sediment Transport Technology Book Description :