Ebook: Operations Research in Transportation Systems: Ideas and Schemes of Optimization Methods for Strategic Planning and Operations Management

The scientific monograph of a survey kind presented to the reader's attention deals with fundamental ideas and basic schemes of optimization methods that can be effectively used for solving strategic planning and operations manage­ ment problems related, in particular, to transportation. This monograph is an English translation of a considerable part of the author's book with a similar title that was published in Russian in 1992. The material of the monograph embraces methods of linear and nonlinear programming; nonsmooth and nonconvex optimization; integer programming, solving problems on graphs, and solving problems with mixed variables; rout­ ing, scheduling, solving network flow problems, and solving the transportation problem; stochastic programming, multicriteria optimization, game theory, and optimization on fuzzy sets and under fuzzy goals; optimal control of systems described by ordinary differential equations, partial differential equations, gen­ eralized differential equations (differential inclusions), and functional equations with a variable that can assume only discrete values; and some other methods that are based on or adjoin to the listed ones.

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This is the first book that presents basic ideas of optimization methods that are applicable to strategic planning and operations management, particularly in the field of transportation. The material of the book covers almost all parts of optimization and is a unique reference work in the field of operations research. The author has written an invaluable manual for students who study optimization methods and their applications in strategic planning and operations management. He describes the ideas behind the methods (with which the study of the methods usually starts) and substantially facilitates further study of the methods using original scientific articles rather than just textbooks. The book is also designed to be a manual for those specialists who work in the field of management and who recognize optimization as the powerful tool for numerical analysis of the potential and of the competitiveness of enterprises. A special chapter contains the basic mathematical notation and concepts useful for understanding the book and covers all the necessary mathematical information.

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This is the first book that presents basic ideas of optimization methods that are applicable to strategic planning and operations management, particularly in the field of transportation. The material of the book covers almost all parts of optimization and is a unique reference work in the field of operations research. The author has written an invaluable manual for students who study optimization methods and their applications in strategic planning and operations management. He describes the ideas behind the methods (with which the study of the methods usually starts) and substantially facilitates further study of the methods using original scientific articles rather than just textbooks. The book is also designed to be a manual for those specialists who work in the field of management and who recognize optimization as the powerful tool for numerical analysis of the potential and of the competitiveness of enterprises. A special chapter contains the basic mathematical notation and concepts useful for understanding the book and covers all the necessary mathematical information.
Content:
Front Matter....Pages i-viii
Introduction....Pages 1-11
Mathematical Programming....Pages 13-90
Discrete Optimization....Pages 91-124
Transportation-Oriented Optimization....Pages 125-224
Optimization under Uncertainty....Pages 225-283
Optimal Control....Pages 285-308
Optimization in Special Methods of Strategic Planning and Operations Management in Transportation Systems....Pages 309-324
Mathematical Concepts and Notation Used for Formulating and Solving Optimization Problems of Strategic Planning and Operations Management in Transportation Systems....Pages 325-358
Conclusion....Pages 359-363
Back Matter....Pages 365-440

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This is the first book that presents basic ideas of optimization methods that are applicable to strategic planning and operations management, particularly in the field of transportation. The material of the book covers almost all parts of optimization and is a unique reference work in the field of operations research. The author has written an invaluable manual for students who study optimization methods and their applications in strategic planning and operations management. He describes the ideas behind the methods (with which the study of the methods usually starts) and substantially facilitates further study of the methods using original scientific articles rather than just textbooks. The book is also designed to be a manual for those specialists who work in the field of management and who recognize optimization as the powerful tool for numerical analysis of the potential and of the competitiveness of enterprises. A special chapter contains the basic mathematical notation and concepts useful for understanding the book and covers all the necessary mathematical information.
Content:
Front Matter....Pages i-viii
Introduction....Pages 1-11
Mathematical Programming....Pages 13-90
Discrete Optimization....Pages 91-124
Transportation-Oriented Optimization....Pages 125-224
Optimization under Uncertainty....Pages 225-283
Optimal Control....Pages 285-308
Optimization in Special Methods of Strategic Planning and Operations Management in Transportation Systems....Pages 309-324
Mathematical Concepts and Notation Used for Formulating and Solving Optimization Problems of Strategic Planning and Operations Management in Transportation Systems....Pages 325-358
Conclusion....Pages 359-363
Back Matter....Pages 365-440
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