Optimization Problems

By Roy Cerqueti, R. Coppier. 2019

This issue deals with the conceptualization of an optimization problem. In particular, we fi rst pro-vide a formal de fi nition of such a mathematical concept. Then, we give some classi fi cations of the optimization problems on the basis of their main characteristics (presence of time dependence and of constraints). In so doing, we also outline the standard techniques adopted for seeking solutions of an optimization problem. Lastly, some examples taken by the classical theory of economics and fi nance are proposed.