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

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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 output

Location Problem
Minimax
Chebyshev
Idempotent
Optimization Problem

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
2017
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 output

Semifield
Optimization Problem
Solution Set
Subset
Semiring
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 output

Analytical Hierarchy Process
Multicriteria Decision-making
Optimization Techniques
Chebyshev Approximation
Pairwise Comparisons
2016

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 output

Open Access
Pairwise Comparisons
Optimization Techniques
Evaluate
Alternatives
Optimization Problem
2015
6 Citations (Scopus)

Rating alternatives from pairwise comparisons by solving tropical optimization problems

Кривулин, Н. К., 2015, 2015 12th International Conference on Fuzzy Systems and Knowledge Discovery (FSKD). Tang, Z., Du, J., Yin, S., He, L. & Li, R. (eds.). Institute of Electrical and Electronics Engineers Inc., p. 162-167

Research output

Pairwise Comparisons
Optimization Problem
Alternatives
Constrained Approximation
Approximation Problem
4 Citations (Scopus)

Solving a tropical optimization problem via matrix sparsification

Кривулин, Н. К., 2015, Relational and Algebraic Methods in Computer Science: RAMICS 2015. Kahl, W., Winter, M. & Oliveira, J. N. (eds.). Cham: Springer, p. 326-343 (Lecture Notes in Computer Science; vol. 9348).

Research output

Optimization Problem
Subset
Semifield
Partial
Simultaneous equations
2014

A constrained tropical optimization problem: complete solution and application example

Кривулин, Н. К., 2014, Tropical and Idempotent Mathematics and Applications: International Workshop on Tropical and Idempotent Mathematics, August 26–31, 2012, Independent University, Moscow, Russia. Litvinov, G. L. & Sergeev, S. N. (eds.). Providence, Rhode Island: American Mathematical Society, p. 163-177 (Contemporary Mathematics; vol. 616).

Research output

Optimization Problem
Linear Inequalities
Project Scheduling
Optimal Scheduling
Precedence Constraints
10 Citations (Scopus)

Complete solution of a constrained tropical optimization problem with application to location analysis

Кривулин, Н. К., 2014, Relational and Algebraic Methods in Computer Science: RAMICS 2014. Höfner, P., Jipsen, P., Kahl, W. & Müller, M. E. (eds.). Cham: Springer, p. 362-378 (Lecture Notes in Computer Science; vol. 8428).

Research output

Optimization Problem
Semifield
Facility Location Problem
Transposition
Inequality Constraints

Tropical optimization problems

Кривулин, Н. К., 2014, Advances in Economics and Optimization: Collected Scientific Studies Dedicated to the Memory of L. V. Kantorovich. Petrosyan, L. A., Romanovsky, J. V. & Yeung, D. W-K. (eds.). New York: Nova Science Publishers, Inc., p. 195-214 (Economic Issues, Problems and Perspectives).

Research output

Optimization Problem
Semimodule
Semifield
Transposition
Nonlinear Function
2013

Direct solutions to tropical optimization problems with nonlinear objective functions and boundary constraints

Krivulin, N. & Karel, Z., 2013, Mathematical Methods and Optimization Techniques in Engineering: Proc. 1st Intern. Conf. on Optimization Techniques in Engineering (OTENG '13), Antalya, Turkey, October 8-10, 2013. WSEAS - World Scientific and Engineering Academy and Society, p. 242 стр., 86-91

Research output

Nonlinear Function
Objective function
Optimization Problem
Constrained Approximation
Semimodule

Explicit solution of a tropical optimization problem with application to project scheduling

Krivulin, N., 2013, Mathematical Methods and Optimization Techniques in Engineering: Proc. 1st Intern. Conf. on Optimization Techniques in Engineering (OTENG '13), Antalya, Turkey, October 8-10, 2013. WSEAS - World Scientific and Engineering Academy and Society, p. 242 стр., 39-45

Research output

Project Scheduling
Explicit Solution
Optimization Problem
Semimodule
Semifield
2012

A complete closed-form solution to a tropical extremal problem

Krivulin, N., 2012, Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.. WSEAS - World Scientific and Engineering Academy and Society, p. 528 стр., 146-151

Research output

Extremal Problems
Closed-form Solution
Idempotent
Semimodule
Semifield

Algebraic solutions to scheduling problems in project management

Krivulin, N., 2012, Recent Researches in Communications, Electronics, Signal Processing and Automatic Control. WSEAS - World Scientific and Engineering Academy and Society, p. 232 стр., 161-166

Research output

Project management
Project scheduling
Eigenvalues
Schedule
Software

A solution of a tropical linear vector equation

Krivulin, N., 2012, Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.. WSEAS - World Scientific and Engineering Academy and Society, p. 528 стр., 244-249

Research output

Idempotent
General Solution
Vector space
Existence and Uniqueness
Optimization Problem

A tropical extremal problem with nonlinear objective function and linear inequality constraints

Krivulin, N., 2012, Advances in Computer Science: Proc. 6th Europ. Computing Conf. (ECC'12), Prague, Czech Republic, September 24-26, 2012. Vol. 5 of Recent Advances in Computer Engineering Series.. WSEAS - World Scientific and Engineering Academy and Society, p. 528 стр., 216-221

Research output

Extremal Problems
Linear Constraints
Inequality Constraints
Nonlinear Function
Linear Inequalities

Evaluation of the Lyapunov exponent for stochastic dynamical systems with event synchronization

Krivulin, N., 2012, Recent Researches in Circuits, Systems, Multimedia and Automatic Control. Vol. 1 of Recent Advances in Electrical Engineering Series.. WSEAS - World Scientific and Engineering Academy and Society, p. 226 стр., 152-157

Research output

Stochastic Dynamical Systems
Lyapunov Exponent
Continuous uniform distribution
Evaluation
Exponent
2011
4 Citations (Scopus)

Algebraic solutions to multidimensional minimax location problems with Chebyshev distance

Krivulin, N., 2011, Recent Researches in Applied and Computational Mathematics: Intern. Conf. on Applied and Computational Mathematics (ICACM’11), Lanzarote, Canary Islands, Spain, May 27-29, 2011. WSEAS - World Scientific and Engineering Academy and Society, p. 195 стр., 157-162

Research output

Irreducible Matrix
Minimax Problems
Facility Location Problem
Eigenvalues and Eigenvectors
Location Problem
5 Citations (Scopus)

Algebraic solution to a constrained rectilinear minimax location problem on the plane

Krivulin, N., 2011, 2011 International Conference on Multimedia Technology (ICMT 2011), Volume 7, July 26-28, 2011, Hangzhou, China, IEEE Proceedings. Institute of Electrical and Electronics Engineers Inc., p. 6716 стр., 6216-6220

Research output

Minimax Problems
Location Problem
Irreducible Matrix
Point Location
Facility Location Problem
1 Citation (Scopus)

Evaluation of the mean cycle time in stochastic discrete event dynamic systems

Кривулин, Н. К., 2011, QTNA '11: Proceedings of the 6th International Conference on Queueing Theory and Network Applications. Kim, B., Lee, H. W., Hwang, G. U. & Shin, Y. W. (eds.). Association for Computing Machinery, p. 93-100

Research output

Discrete Event Dynamic Systems
Dynamical systems
Exponential distribution
Evaluation
Zero
2007

Average network blocking probabilities for TDM WDM optical networks with OTSIs and without WC

Huei, Y. C., Keng, P. H. & Krivulin, N., 2007, 15th International Symposium on Modeling, Analysis, and Simulation of Computer and Telecommunication Systems, 2007. MASCOTS'07. Institute of Electrical and Electronics Engineers Inc., p. 424-431 (Symposium on Modelling, Analysis and Simulation of Computer and Telecommunication Systems).

Research output

Time division multiplexing
Blocking probability
Fiber optic networks
Wavelength division multiplexing
Analytical models
2001

On evaluation of the mean service cycle time in tandem queueing systems

Krivulin, N. K. & Nevzorov, V. B., 2001, Applied Statistical Science V. Ahsanullah, M., Kennyon, J. & Sarkar, S. K. (eds.). Nova Science Publishers, Inc., p. 145-155

Research output

Queueing System
Finite Buffer
Evaluation
Mean Value
Random variable
2000

Algebraic modelling and performance evaluation of acyclic fork-join queueing networks

Krivulin, N. K., 2000, Advances in Stochastic Simulation Methods. Balakrishnan, N., Melas, V. & Ermakov, S. (eds.). Birkhäuser Verlag AG, p. 63-81 (Statistics for Industry and Technology).

Research output

Queueing networks
Algebra