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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.
List of contents
1 Mathematical Programming.- 2 Discrete Optimization.- 3 Transportation-Oriented Optimization.- 4 Optimization under Uncertainty.- 5 Optimal Control.- 6 Optimization in Special Methods of Strategic Planning and Operations Management in Transportation systems.- 7 Mathematical Concepts and Notation Used for Formulating and Solving Optimization Problems of Strategic Planning and Operations Management in Transportation systems.- Conclusion.
