• Alexander S. Belenky
Part of the Applied Optimization book series (APOP, volume 20)


Mathematical methods of optimization for strategic planning and operations management in transportation systems considered in the present book provide solutions for basic problems in the field detected and formulated in [1] as optimization problems. The list of such problems is presented in the table contained in the Introduction. These problems encompass a variety of practical situations beginning with those for various types of transport and finishing with problems of analyzing transport as a part of an infrastructure of the national economy complex [2]. These methods form the main mathematical tools used today in the research and practical strategic planning and operations management in transportation systems. However, the process of increasing the activity in mathematical modeling in transportation systems and in that of detecting new problems that may be formalized and researched on the basic of mathematical models is extremely intensive. In the course of this process, new optimization methods within the framework of known classes of problems, as well as new formulations of problems necessitating the use of different existing mathematical tools or working out the new ones appear [3]. In the author’s opinion, two directions of researching transportation systems will shortly acquire a practical turn and demand using and working out new mathematical tools. These directions for which outlines of the tools are becoming more and more evident in the process of the directions development are briefly discussed below.


Variational Inequality Transportation System Optimal Trajectory USSR Academy Economic Dynamic 
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© Springer Science+Business Media Dordrecht 1998

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  • Alexander S. Belenky

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