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Author: Vyacheslav V Kolbin
Publisher: World Scientific
ISBN: 9814496774
Category : Mathematics
Languages : en
Pages : 328
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Book Description
This monograph deals with theoretical fundamentals and numerical methods of optimizing nondetermined models of systems. The main body of this work is devoted to investigation and optimization of system models under incomplete information. Much consideration is given to one-, two- and multistage problems of stochastic programming, solution methods and problems of solution stability. Optimization problems with fuzzy variables and optimization problems in function spaces are investigated. Examples are given for implementation of specific models of optimization under incomplete information.The book is based on lectures delivered by the author since 1965 for undergraduates and postgraduates at St. Petersburg (Leningrad) State University.
Author: Vyacheslav V Kolbin
Publisher: World Scientific
ISBN: 9814496774
Category : Mathematics
Languages : en
Pages : 328
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Book Description
This monograph deals with theoretical fundamentals and numerical methods of optimizing nondetermined models of systems. The main body of this work is devoted to investigation and optimization of system models under incomplete information. Much consideration is given to one-, two- and multistage problems of stochastic programming, solution methods and problems of solution stability. Optimization problems with fuzzy variables and optimization problems in function spaces are investigated. Examples are given for implementation of specific models of optimization under incomplete information.The book is based on lectures delivered by the author since 1965 for undergraduates and postgraduates at St. Petersburg (Leningrad) State University.
Author: Vyacheslav V Kolbin
Publisher: World Scientific
ISBN: 9814502588
Category : Mathematics
Languages : en
Pages : 457
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Book Description
This monograph defines the notion of a “system” by reference to those systems which exhibit goal-oriented behavior and utilize the notion of decision making and controls. Such systems allow for phenomenological description and fix the nature of causal transformations of input effects into output quantities. The study of consequences of the fact that the systems possess some properties constitutes the content of systems optimization methodology which goes beyond the scope of descriptive classification of systems.Chapter 1 deals with philosophical problems of systems methodology. An attempt is made to systematize and analyze the problems of scientific methodology as applied to systems modeling methodology which is viewed as the most general concept utilized in modern science.Chapter 2 focuses on problems of qualitative analysis in natural and social sciences. Attention is drawn to problems of measurement theory and quantitative analysis of systems.Approaches and methods of systems analysis and synthesis form the central portion of the book. Much study is given to the methods of systems decomposition, an integration using both discrete and continuous descriptions of objects, processes, and phenomena. Examples of complex goal-oriented systems are also provided.The remaining part of the book is largely centered around the methodology of multiobjective systems optimization.
Author: V. V. Kolbin
Publisher: World Scientific
ISBN: 9789810233037
Category : Technology & Engineering
Languages : en
Pages : 332
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Book Description
This monograph deals with theoretical fundamentals and numerical methods of optimizing nondetermined models of systems. The main body of this work is devoted to investigation and optimization of system models under incomplete information. Much consideration is given to one-, two- and multistage problems of stochastic programming, solution methods and problems of solution stability. Optimization problems with fuzzy variables and optimization problems in function spaces are investigated. Examples are given for implementation of specific models of optimization under incomplete information. The book is based on lectures delivered by the author since 1965 for undergraduates and postgraduates at St. Petersburg (Leningrad) State University.
Author: V. V. Kolbin
Publisher: World Scientific
ISBN: 9789810215897
Category : Science
Languages : en
Pages : 460
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Book Description
This monograph defines the notion of a ?system? by reference to those systems which exhibit goal-oriented behavior and utilize the notion of decision making and controls. Such systems allow for phenomenological description and fix the nature of causal transformations of input effects into output quantities. The study of consequences of the fact that the systems possess some properties constitutes the content of systems optimization methodology which goes beyond the scope of descriptive classification of systems.Chapter 1 deals with philosophical problems of systems methodology. An attempt is made to systematize and analyze the problems of scientific methodology as applied to systems modeling methodology which is viewed as the most general concept utilized in modern science.Chapter 2 focuses on problems of qualitative analysis in natural and social sciences. Attention is drawn to problems of measurement theory and quantitative analysis of systems.Approaches and methods of systems analysis and synthesis form the central portion of the book. Much study is given to the methods of systems decomposition, an integration using both discrete and continuous descriptions of objects, processes, and phenomena. Examples of complex goal-oriented systems are also provided.The remaining part of the book is largely centered around the methodology of multiobjective systems optimization.
Author: Anand J. Kulkarni
Publisher: Springer Nature
ISBN: 981991521X
Category : Computers
Languages : en
Pages : 266
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Book Description
This edited book provides a platform to discuss the state-of-the-art developments associated with traditional and advanced single-/multi-objective criteria optimization methods for addressing problems of performance enhancement of the products and systems design. The book in detail discusses the core ideas, underlying principles, mathematical formulations, critical reviews and experimentations, and solutions to complex problems from within the domains such as mechanical engineering design and manufacturing, fault detection and diagnosis, control systems, financial systems, machine learning in medical image processing as well as problems from operations research domain. It will serve as a valuable reference to academicians and industry practitioners involved in improving the efficiency, cost, performance, and durability of the products and systems. The chapters in this book may further give impetus to explore new avenues leading towards multidisciplinary research discussions associated with the resilience and sustainability of the existing systems.
Author: Panos M. Pardalos
Publisher: Springer Science & Business Media
ISBN: 0387736697
Category : Science
Languages : en
Pages : 388
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Book Description
Covers developments in bilinear systems theory Focuses on the control of open physical processes functioning in a non-equilibrium mode Emphasis is on three primary disciplines: modern differential geometry, control of dynamical systems, and optimization theory Includes applications to the fields of quantum and molecular computing, control of physical processes, biophysics, superconducting magnetism, and physical information science
Author: Ravi Nath
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3111020673
Category : Technology & Engineering
Languages : en
Pages : 258
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Book Description
Removing the barriers to the Global Optimization of Plant Utility Systems by providing practical tools and techniques to deal with these unique challenges is the purpose of this book. The operating cost of a typical Plant Utility System of a typical Industrial Production Process Plant is enormous - often in tens if not hundreds of millions of dollars per Annum. With so much money at stake, one would expect that heroic optimization efforts would be made to reduce the operating cost, however such is usually not the case. One reason for this complacency is that Plant Utility Systems are usually "cost centers" in Process Plants and their operating cost is prorated amongst the various Production Units, so it suffers from what is at times referred to as "the tragedy of the commons". Another reason for this complacency is that the Plant Utility System structure is significantly different than that of other Production Units, as for flexibility and safety reasons it has a large spare capacity to meet increased utility demand during startups, shutdowns, and emergencies. The existence of a spare equipment necessitates optimization of discrete decisions, whereby traditional optimization techniques do not readily apply. Part of the problem is that the traditional engineering curriculum primarily emphasizes only one of the many optimization methods, called Non-Linear Programming (NLP). Although NLP can address large classes of optimization problems, it has fairly stringent requirements that all describing relationships (or functions) be continuous and have continuous derivatives. Additionally, in general, NLP only guarantees a local but not the global optimum. Another optimization method is particularly well suited for modeling Plant Utility Systems is called Mixed Integer Linear Programming (MILP). And unlike NLP, MILP methods can guarantee global optimum, which is very reassuring. MILP, however, does impose linearity requirements but as discussed in this book there are techniques to overcome this limitation.
Author: Wayne A. Taylor
Publisher:
ISBN: 9780963512215
Category :
Languages : en
Pages : 0
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Book Description
Author: Ignacio E. Grossmann
Publisher: Cambridge University Press
ISBN: 1108831656
Category : Mathematics
Languages : en
Pages : 205
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Book Description
A unique text covering basic and advanced concepts of optimization theory and methods for process systems engineers. With examples illustrating key concepts and algorithms, and exercises involving theoretical derivations, numerical problems and modeling systems, it is ideal for single-semester, graduate courses in process systems engineering.
Author: Vyacheslav V Kolbin
Publisher: World Scientific
ISBN: 9814485918
Category : Mathematics
Languages : en
Pages : 757
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Book Description
The problem of selection of alternatives or the problem of decision making in the modern world has become the most important class of problems constantly faced by business people, researchers, doctors and engineers.The fields that are almost entirely focused on conflicts, where applied mathematics is successfully used, are law, military science, many branches of economics, sociology, political science, and psychology. There are good grounds to believe that medicine and some branches of biology and ethics can also be included in this list. Modern applied mathematics can produce solutions to many tens of classes of conflicts differing by the composition and structure of the participants, specific features of the set of their objectives or interests, and various characteristics of the set of their actions, strategies, behaviors, controls, and decisions as applied to various principles of selection or notions of decision optimization.The current issues of social and economic systems involve the necessity to coordinate and jointly optimize various lines of development and activities of modern society. For this reason, the decision problems arising in investigation of such systems are versatile, which shows up not only in the multiplicity of participants, their interests and complexity of reciprocal effects, but also in the laborious development of social utility criteria for a variety of indices and versatile objectives. The efficient decision methods for such complex systems can be developed only the basis of specially developed mathematical tools.
