Some problems of tropical optimization

 Tropical mathematics is an area of mathematics developed over the tropical semi-ring, where the usual arithmetic operations are replaced with max (playing the role of addition) and plus (playing the role of multiplication). In this talk we will consider some optimization problems that can be formulated and solved in the framework of tropical mathematics, such as: tropical analogue of linear-fractional programming, tropical pseudo-quadratic programming and tropical analogues of bi-level linear programming problems