Tropical optimization problems in time-constrained project scheduling

N Krivulin - Optimization, 2017 - Taylor & Francis
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 precedence …

Using tropical optimization techniques to evaluate alternatives via pairwise comparisons

N Krivulin - 2016 Proceedings of the seventh SIAM workshop on …, 2016 - SIAM
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 …

A Novel Tropical Geometry-Based Interpretable Machine Learning Method: Pilot Application to Delivery of Advanced Heart Failure Therapies

H Yao, H Derksen, JR Golbus, J Zhang… - IEEE Journal of …, 2022 - ieeexplore.ieee.org
A model's interpretability is essential to many practical applications such as clinical decision
support systems. In this article, a novel interpretable machine learning method is presented …

Rating alternatives from pairwise comparisons by solving tropical optimization problems

N Krivulin - 2015 12th International Conference on Fuzzy …, 2015 - ieeexplore.ieee.org
We consider problems of rating alternatives based on their pairwise comparison under
various assumptions, including constraints on the final scores of alternatives. The problems …

On the complexity of the problem of solving systems of tropical polynomial equations of degree two

IM Buchinskiy, MV Kotov, AV Treier - International Conference on …, 2024 - Springer
In this paper, we investigate the computational complexity of the problem of solving a one-
sided system of equations of degree two of a special form over the max-plus algebra. Also …

Using tropical optimization techniques in bi-criteria decision problems

N Krivulin - Computational Management Science, 2020 - Springer
We consider decision problems of rating alternatives based on their pairwise comparisons
according to two criteria. Given pairwise comparison matrices for each criterion, the problem …

[PDF][PDF] Scalable schedule-aware bundle routing

O De Jonckère - 2023 - core.ac.uk
This thesis introduces approaches providing scalable delay-/disruption-tolerant routing
capabilities in scheduled space topologies. The solution is developed for the requirements …

Методы тропической оптимизации в многокритериальных задачах оценки альтернатив на основе парных сравнений

НК Кривулин, ВА Агеев - Вестник Санкт-Петербургского …, 2019 - cyberleninka.ru
Статья посвящена применению методов и результатов тропической математики,
которая изучает теорию и приложения алгебраических систем с идемпотентными …

[HTML][HTML] Algebraic solution of minimax single-facility constrained location problems with Chebyshev and rectilinear distances

N Krivulin - Journal of Logical and Algebraic Methods in …, 2020 - Elsevier
We consider location problems to find the optimal sites of placement of a new facility, which
minimize the maximum weighted Chebyshev or rectilinear distance to existing facilities …

Tropical optimization technique in bi-objective project scheduling under temporal constraints

N Krivulin - Computational Management Science, 2020 - Springer
We consider a project that consists of a set of activities performed in parallel under
constraints on their start and finish times, including start-finish precedence relationships …