Abstract
The first two chapters of this book were devoted to the theory and methods of unconstrained nonlinear optimization. In this chapter, we will switch our attention to nonlinear models, and present a variety of examples, in which a problem can be formulated as a constrained or unconstrained nonlinear optimization model. The process of formulating models—albeit complex and challenging—has been covered elsewhere, see, e.g., Eiselt and Sandblom (2007). Our purpose is to provide examples of problems that naturally lead to formulations in the form of nonlinear optimization models. We are not concerned with how these models will be solved; instead, we describe the formulation and the conclusions that can be drawn from their solutions.
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Eiselt, H.A., Sandblom, CL. (2019). Applications of Nonlinear Programming. In: Nonlinear Optimization . International Series in Operations Research & Management Science, vol 282. Springer, Cham. https://doi.org/10.1007/978-3-030-19462-8_3
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