• 201 Citations
  • 8 h-Index
1989 …2019
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Research Output 1989 2019

2019
1 Downloads (Pure)
Open Access
File
Project Scheduling
Bicriteria
Optimization Techniques
Idempotent
Bicriteria Optimization
Open Access
File
Matrix Inequality
Subset
Vector addition
Semifield
Unknown
Positive Matrices
Optimization Methods
Approximation Problem
Approximation
Semifield
1 Downloads (Pure)
Optimal Scheduling
Optimization Problem
Objective function
Idempotent
Semiring
1 Citation (Scopus)
Analytical Hierarchy Process
Pairwise Comparisons
Solution Set
Chebyshev Approximation
Entire Solution

Using tropical optimization in rank-one approximation of non-negative matrices

Кривулин, Н. К. & Романова, Е. Ю., 2019, International conference “Polynomial Computer Algebra’ 2019”, St. Petersburg, April 15-20, Euler International Mathematical Institute. Vassiliev, N. N. (ed.). Санкт-Петербург: Издательство «ВВМ», p. 85-88

Research outputpeer-review

Open Access
File
2018

Algebraic solution of weighted minimax single-facility constrained location problems

Кривулин, Н. К., Oct 2018, Relational and Algebraic Methods in Computer Science: 17th International Conference, RAMiCS 2018, Groningen, The Netherlands, October 29 – November 1, 2018, Proceedings. Desharnais, J., Guttmann, W. & Joosten, S. (eds.). Cham: Springer, p. 317-332 (Lecture Notes in Computer Science; vol. 11194).

Research outputpeer-review

Location Problem
Minimax
Chebyshev
Idempotent
Optimization Problem
1 Citation (Scopus)
Semifield
Optimization Problem
Solution Set
Irreducible Matrix
Subset

Methods of tropical optimization in rating alternatives based on pairwise comparisons

Кривулин, Н. К., 2018, Operations Research Proceedings 2016: Selected Papers of the Annual International Conference of the German Operations Research Society (GOR), Helmut Schmidt University Hamburg, Germany, August 30 - September 2, 2016. Fink, A., Fügenschuh, A. & Geiger, M. J. (eds.). Cham: Springer, p. 85-91 7 p. (Operations Research Proceedings).

Research outputpeer-review

Pairwise Comparisons
Chebyshev Approximation
Entire Solution
Optimization
Alternatives
1 Citation (Scopus)
Positive Matrices
Max-algebra
Matrix Approximation
Low-rank Approximation
Low-rank Matrices
Optimization Problem
Semifield
Entire Solution
Subset
Chebyshev
1 Downloads (Pure)
Open Access
File
Optimization Problem
Semifield
Project Scheduling
Chebyshev Approximation
Seminorm
1 Downloads (Pure)
Open Access
File
Positive Matrices
Approximation Problem
Optimization
Approximation
Max-algebra
Bicriteria
Decision problem
Optimization Techniques
Pairwise Comparisons
Optimization Problem
2 Downloads (Pure)
Open Access
File
Multi-criteria
Decision problem
Optimization Techniques
Pareto Optimal Solution
Pairwise Comparisons
2017
3 Citations (Scopus)
Scheduling
Optimization Problem
Vector addition
Semifield
Partial
2 Citations (Scopus)

Complete solution of an optimization problem in tropical semifield

Krivulin, N., 2017, Relational and Algebraic Methods in Computer Science: 16th International Conference, RAMiCS 2017, Lyon, France, May 15-18, 2017, Proceedings. Höfner, P., Pous, D. & Struth, G. (eds.). Cham: Springer, p. 226-241 (Lecture Notes in Computer Science; vol. 10226).

Research outputpeer-review

Semifield
Optimization Problem
Solution Set
Subset
Semiring
5 Citations (Scopus)
Project Scheduling
Scheduling
Optimization Problem
Objective function
Semifield
Mathematical Programming
Optimization Methods
Linear programming
Nonlinear Programming
Mathematical programming
5 Citations (Scopus)
Project Scheduling
Due Dates
Scheduling
Optimization Problem
Scheduling Problem
4 Citations (Scopus)
Makespan
Project scheduling
Optimization problem
Objective function
Evaluation
2 Citations (Scopus)

Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process

Кривулин, Н. К. & Sergeev, S., 2017, 2017 European Modelling Symposium (EMS): Proc. UKSim-AMSS 11th European Modelling Symposium on Computer Modelling and Simulation, 20–22 November 2017, Manchester, UK. Institute of Electrical and Electronics Engineers Inc., p. 38-43 6 p. (European Modelling Symposium (EMS)).

Research outputpeer-review

Analytical Hierarchy Process
Multicriteria Decision-making
Optimization Techniques
Chebyshev Approximation
Pairwise Comparisons
2 Citations (Scopus)
Facility Location Problem
Minimax
Location Problem
Constrained Optimization Problem
Optimization

Использование методов тропической оптимизации для оптимального составления графиков работ

Кривулин, Н. К. & Губанов, С. А., 2017, Материалы 7-й всероссийской научной конференции по проблемам информатики СПИСОК-2017. 26–28 апреля 2017 г. Санкт-Петербург.. Санкт-Петербург: Издательство «ВВМ», p. 515-521 (СПИСОК. Всероссийская научная конференция по проблемам информатики).

Research outputpeer-review

Open Access
File

Использование разрежения матриц для решения многомерной задачи тропической оптимизации

Кривулин, Н. К. & Сорокин, В. Н., 2017, International Scientific Conference, 13-16 December, 2017, Borovets, Bulgaria. Mathematical Modeling: Technological and Socio-Economic Processes. Proceedings. Sofia: Scientific Technical Union of Mechanical Engineering «INDUSTRY 4.0», Vol. 1. p. 36-39 (International Scientific Conference. Mathematical Modeling).

Research outputpeer-review

Open Access
File
Optimization Problem
Function Minimization
Semifield
Subset
Vector-valued Functions

Исследование задачи размещения Ролса с прямоугольной метрикой на отрезке прямой

Кривулин, Н. К. & Плотников, П. В., 2017, Материалы 7-й всероссийской научной конференции по проблемам информатики СПИСОК-2017. 26–28 апреля 2017 г. Санкт-Петербург. Санкт-Петербург: Издательство «ВВМ», p. 522-528 (СПИСОК. Всероссийская научная конференция по проблемам информатики).

Research outputpeer-review

Open Access
File

Одноранговая аппроксимация положительных матриц с использованием методов идемпотентной математики

Кривулин, Н. К. & Романова, Е. Ю., 2017, International Scientific Conference, 13-16 December, 2017, Borovets, Bulgaria. Mathematical Modeling: Technological and Socio-Economic Processes. Proceedings. Sofia: Scientific Technical Union of Mechanical Engineering «INDUSTRY 4.0», Vol. 1. p. 33-35 (International Scientific Conference. Mathematical Modeling.).

Research outputpeer-review

Open Access
File

Одноранговая аппроксимация положительных матриц с использованием методов тропической математики

Кривулин, Н. К. & Романова, Е. Ю., 2017, Материалы 7-й всероссийской научной конференции по проблемам информатики СПИСОК-2017. 26–28 апреля 2017 г. Санкт-Петербург. Санкт-Петербург: Издательство «ВВМ», p. 529-535 (СПИСОК. Всероссийская научная конференция по проблемам информатики).

Research outputpeer-review

Open Access
File

Применение методов тропической оптимизации для анализа результатов оценки альтернатив на основе парных сравнений

Агеев, В. А. & Кривулин, Н. К., 2017, Материалы 7-й всероссийской научной конференции по проблемам информатики СПИСОК-2017. 26–28 апреля 2017 г. Санкт-Петербург. Санкт-Петербург: Издательство «ВВМ», p. 536-542 (СПИСОК. Всероссийская научная конференция по проблемам информатики).

Research outputpeer-review

Open Access
File
2016
5 Citations (Scopus)
Open Access
Semimodule
Semifield
Project Scheduling
Precedence Constraints
Transposition
Open Access
File
Location Problem
Optimization Techniques
Facility Location Problem
Idempotent
Objective function
1 Downloads (Pure)
Open Access
File
Pairwise Comparisons
Optimization
Alternatives
Idempotent
Semiring
Open Access
File
Semifield
Optimization Problem
Chebyshev Approximation
Objective function
Spectral Radius
13 Downloads (Pure)
File
Optimization Problem
Semifield
Project Scheduling
Nonlinear Function
Idempotent
Open Access
File
Minimax Problems
Location Problem
Chebyshev
Optimization Techniques
Facility Location

Using tropical optimization techniques to evaluate alternatives via pairwise comparisons

Кривулин, Н. К., 2016, 2016 Proceedings of the Seventh SIAM Workshop on Combinatorial Scientific Computing. Gebremedhin, A. H., Boman, E. G. & Ucar, B. (eds.). Society for Industrial and Applied Mathematics, p. 62-72 11 p. (Proceedings).

Research outputpeer-review

Open Access
Pairwise Comparisons
Optimization Techniques
Evaluate
Alternatives
Optimization Problem
2 Citations (Scopus)
Minimax Problems
Location Problem
Metric
Optimization
Line

О решении задачи размещения Ролса на плоскости с ограничениями

Кривулин, Н. К. & Плотников, П. В., 2016, Междисциплинарные исследования в области математического моделирования и информатики. Материалы 7-й научно-практической internet-конференции. 30-31 марта 2016 г. / Отв. ред. Ю.C. Нагорнов. Ульяновск: Зебра, p. 18-22

Research output

2015
1 Citation (Scopus)
Optimization Problem
Nonlinear Function
Semifield
Algebraic Approach
Constrained Optimization Problem