Activities per year
We consider multidimensional optimization problems, which are formulated and solved in terms of tropical mathematics. The problems are to minimize (maximize) a linear or nonlinear function defined on vectors over an idempotent semifield, and may have constraints in the form of linear equations and inequalities. The aim of the paper is twofold: first to give a broad overview of known tropical optimization problems and solution methods, including recent results; and second, to derive a direct, complete solution to a new constrained optimization problem as an illustration of the algebraic approach recently proposed to solve tropical optimization problems with nonlinear objective functions.
Scopus subject areas
- Control and Optimization
- Algebra and Number Theory
- idempotent semifield
- tropical optimization problem
- nonlinear objective function
- linear inequality constraint
- direct solution
Международная научная конференция "Алгебра и математическая логика: теория и приложения" с сопутствующей молодежной летней школой
Николай Кимович Кривулин (Participant)2 Jun 2014 → 6 Jun 2014
Activity: Attendance types › Participating in a conference, workshop, ...