Theory of Linear Optimization

This monograph is devoted to the basic component of the theory of linear optimization problems: systems of linear inequalities. Such an approach is exact in both a historical and methodological sense.

In the first two chapters deal with economic interpretation of models, theorems and approaches. The other chapters are dedicated to less traditional problems of linear optimization, such as contradictory problems and duality, lexicographic problems and duality, piecewise linear problems and duality, and more. The book also covers some general methods for calculating processes for certain problems of linear optimization: the problem of stability and correctness.