Adjoint Equations, Optimization

Abstract

The pace of economic development today requires increasingly larger and more capacious industrial objects and complexes. Labor distribution patterns usually predetermine location of such objects in densely populated areas or nearby, which implies special restrictions concerning objects emitting into the atmosphere aerosols hazardous for human health and ecological systems historically set in the areas. The problem of optimum location of industries is multi-aspect and algorithmically extremely complex. The solution required of this author levelopment of a mathematical apparatus of adjoint problems. The solutions of these may be termed as the functions of influence of aerosol pollution of environment. This chapter applies the results of research presented in Chapter 5 to a concrete object of study of optimum location of industries, discusses mathematical models of typical situations and methods of solution of optimization problems and interprets the results.