54 citations · 511 across the 66 of their papers we have counts for
6 papers · 2 filters
Using tropical optimization to solve constrained minimax single-facility location problems with rectilinear distance
Nikolai Krivulin
The aim of this paper is twofold: first, to extend the area of applications of tropical optimization by solving new constrained location problems, and second, to offer new closed-f…
Algebraic solution of tropical optimization problems via matrix sparsification with application to scheduling
Nikolai Krivulin
Optimization problems are considered in the framework of tropical algebra to minimize and maximize a nonlinear objective function defined on vectors over an idempotent semifield, a…
Rating alternatives from pairwise comparisons by solving tropical optimization problems
Nikolai Krivulin
We consider problems of rating alternatives based on their pairwise comparison under various assumptions, including constraints on the final scores of alternatives. The problems ar…
Using tropical optimization techniques to evaluate alternatives via pairwise comparisons
N. Krivulin
We describe a new approach based on tropical optimization techniques to solve the problem of rating alternatives from pairwise comparison data. The problem is formulated to approxi…
Tropical optimization problems in time-constrained project scheduling
N. Krivulin
We consider a project that consists of activities to be performed in parallel under various temporal constraints, which include start-start, start-finish and finish-start precedenc…
Direct solution to constrained tropical optimization problems with application to project scheduling
N. Krivulin
We examine a new optimization problem formulated in the tropical mathematics setting as a further extension of certain known problems. The problem is to minimize a nonlinear object…