97 citations · 431 across the 34 of their papers we have counts for
5 papers · 1 filter
Signed tropicalization of polar cones
Marianne Akian, Xavier Allamigeon, Stéphane Gaubert +1
We study the tropical analogue of the notion of polar of a cone, working over the semiring of tropical numbers with signs. We characterize the cones which arise as polars of sets o…
Minimizing maximum lateness in two-stage projects by tropical optimization
Nikolai Krivulin, Serge\uı Sergeev
We are considering a two-stage optimal scheduling problem, which involves two similar projects with the same starting times for workers and the same deadlines for tasks. It is requ…
Tropical pseudolinear and pseudoquadratic optimization as parametric mean-payoff games
Jamie Parsons, Sergei Sergeev, Huili Wang
We apply an approach based on parametric mean-payoff games to develop bisection and Newton schemes for solving problems of tropical pseudolinear and pseudoquadratic optimisation wi…
Tropical implementation of the Analytical Hierarchy Process decision method
Nikolai Krivulin, Sergei Sergeev
We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-…
Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process
N. Krivulin, S. Sergeev
We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-…