RUS  ENG
Full version
JOURNALS // Matematicheskaya Teoriya Igr i Ee Prilozheniya // Archive

Mat. Teor. Igr Pril., 2025 Volume 17, Issue 1, Pages 43–58 (Mi mgta362)

Bi-criterial approach to optimization problems with uncertain factors

Igor V. Konnov

Kazan Federal University

Abstract: We propose a new approach to optimization problems with uncertain factors, which is related to transformation of the initial problem into a bi-criterial optimization problem. This problem is suggested to be solved by a combination of the sequential concessions method and linear convolution of criteria. An application of the method for the simplest extremal graph problems is also described.

Keywords: optimization problems, uncertain factors, bi-criterial optimization problems, the shortest spanning tree problem, the shortest path problem.

UDC: 519.816
BBK: 22.18

Received: 31.07.2024
Revised: 02.12.2024
Accepted: 16.12.2024



© Steklov Math. Inst. of RAS, 2026