Mathematical Concepts and Notation Used for Formulating and Solving Optimization Problems of Strategic Planning and Operations Management in Transportation Systems

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


The present chapter is aimed at acquainting the reader with a minimum of mathematical concepts, notations, and facts that are necessary for understanding, at the contemporary scientific level, the presentation of problems of mathematical modeling and those of using optimization methods for strategic planning and operations management in transportation systems. Essentially, a set of these concepts constitutes a language in which, nowadays, theoretical and applied scientific works on optimization, in particular, for strategic planning and operations management in transportation systems are written. Consequently, the more extensive “vocabulary” the reader has, the more he can learn and understand from scientific literature on transport control. In this sense, one can speak of an analogy between the role of the information given below in understanding problem statements and mathematical methods for solving the problems and the role of, for instance, “Basic English” in mastering the English language.


Mathematical Concept Linear Inequality Normal System Discrete Random Variable Mathematical Programming Problem 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer Science+Business Media Dordrecht 1998

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  • Alexander S. Belenky

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