Some Applications

Abstract

The theory of controlled stochastic processes finds use in different areas of human activity and very often optimization problems arise in which some additional functional constraints are present. The present chapter contains examples concerning economics, ecology, insurance, engineering, queueing theory and game theory. All these examples illustrate the results presented in the previous chapters. The examples were selected according to the following rules: each of them must present a meaningful mathematical model of some actual processes and phenomena, and yet admit an analytical study (explicit or approximate). The main purpose of the present chapter is not a solution of specific problems that are important in practice but the demonstration of the suitableness of the theoretical methods developed by the scientists working in the corresponding areas.