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Titlebook: Methods and Models in Mathematical Programming; S. A. MirHassani,F. Hooshmand Book 2019 Springer Nature Switzerland AG 2019 Mathematical m

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978-3-030-27047-6Springer Nature Switzerland AG 2019
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Preliminaries,A manager who is familiar with decision-making tools such as mathematical programming can make the right decisions at the right time. Nowadays, with the growth of computational ability, mathematical programming models are increasingly effective in different fields such as transportation, investment,
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Main Components of Mathematical Models,bed. This chapter provides more details about the types of variables, constraints, and objective functions and categorizes mathematical models. Also, a brief reference to the solution methods of mathematical models is provided.
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Models and Mathematical Logic, process, it is not possible to construct a precise and acceptable model. In this regard, mathematical logic plays a fundamental role. This chapter expresses how to incorporate logical propositions as linear constraints into optimization models.
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Linearization of Nonlinear Functions,en preferred to rewrite a nonlinear model in the form of an equivalent linear formulation or to obtain an appropriate linear approximation. Thus, in this chapter, we introduce some nonlinear functions that frequently appear in optimization problems and discuss how they can be represented in the form
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