Edit Profile (opens in new tab) Krivulin, Nikolai K. Co-Author Distance Author ID: krivulin.nikolai-k Published as: Krivulin, N. K.; Krivulin, Nikolai; Krivulin, Nikolai K.; Krivulin, N.; Krivulin, Nikolaĭ Kimovich; Krivulin, W. K. more...less Homepage: https://www.math.spbu.ru/user/krivulin/index.html External Links: MGP · ORCID Documents Indexed: 97 Publications since 1990, including 40 Additional arXiv Preprints Co-Authors: 14 Co-Authors with 18 Joint Publications 251 Co-Co-Authors all top 5 Co-Authors 72 single-authored 2 Guster, Dennis 2 Plotnikov, P. V. 2 Romanova, Elena Yu. 2 Sorokin, Vladimir N. 1 Basko, Ul’yana L’vovna 1 Bryushinin, M. A. 1 Ermakov, Sergeĭ Mikhaĭlovich 1 Gladkikh, I. 1 Gubanov, S. A. 1 Milov, D. C. 1 Milov, D. S. 1 Nevzorov, Valeriĭ Borisovich 1 Prinkov, A. 1 Romanovskiĭ, Iosif Vladimirovich 1 Romanovsky, Joseph V. 1 Zimmermann, Karel all top 5 Serials 24 Vestnik St. Petersburg University. Mathematics 3 Computational Management Science 3 Journal of Logical and Algebraic Methods in Programming 2 Kybernetika 2 Optimization 1 Fuzzy Sets and Systems 1 Acta Applicandae Mathematicae 1 Vestnik Leningradskogo Universiteta. Seriya 1. Matematika, Mekhanika, Astronomiya 1 Applied Mathematics Letters 1 Mathematical and Computer Modelling 1 Annals of Operations Research 1 Applications of Mathematics 1 Linear Algebra and its Applications 1 Vestnik Leningrad University. Mathematics 1 Zapiski Nauchnykh Seminarov POMI 1 Journal of Mathematical Sciences (New York) 1 Informatica (Vilnius) 1 Lobachevskii Journal of Mathematics all top 5 Fields 77 Operations research, mathematical programming (90-XX) 46 Linear and multilinear algebra; matrix theory (15-XX) 31 Numerical analysis (65-XX) 17 Systems theory; control (93-XX) 12 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Approximations and expansions (41-XX) 10 Probability theory and stochastic processes (60-XX) 5 Field theory and polynomials (12-XX) 4 Statistics (62-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 39 Publications have been cited 176 times in 56 Documents Cited by ▼ Year ▼ Extremal properties of tropical eigenvalues and solutions to tropical optimization problems. Zbl 1307.65089 Krivulin, Nikolai 25 2015 A multidimensional tropical optimization problem with a non-linear objective function and linear constraints. Zbl 1311.65086 Krivulin, Nikolai 20 2015 A constrained tropical optimization problem: complete solution and application example. Zbl 1320.65101 Krivulin, Nikolai 12 2014 Direct solution to constrained tropical optimization problems with application to project scheduling. Zbl 1397.90312 Krivulin, Nikolai 12 2017 An extremal property of the eigenvalue of irreducible matrices in idempotent algebra and solution of the Rawls location problem. Zbl 1272.15007 Krivulin, N. K. 11 2011 Complete solution of a constrained tropical optimization problem with application to location analysis. Zbl 1386.90172 Krivulin, Nikolai 10 2014 Optimization of complex systems for simulation modeling. Zbl 0709.90034 Krivulin, N. K. 8 1990 Tropical optimization problems with application to project scheduling with minimum makespan. Zbl 1411.90325 Krivulin, Nikolai 7 2017 Tropical optimization problems in time-constrained project scheduling. Zbl 1360.65176 Krivulin, N. 7 2017 A recursive equations based representation for the \(G/G/m\) queue. Zbl 0808.60078 Krivulin, N. K. 6 1994 On an algebraic solution of the Rawls location problem in the plane with rectilinear metric. Zbl 1370.90137 Krivulin, N. K.; Plotnikov, P. V. 5 2015 Using tropical optimization to solve constrained minimax single-facility location problems with rectilinear distance. Zbl 1397.90240 Krivulin, Nikolai 5 2017 Evaluation of bounds on the mean rate of growth of the state vector of a linear dynamical stochastic system in idempotent algebra. Zbl 1105.93055 Krivulin, N. K. 4 2005 Complete algebraic solution of multidimensional optimization problems in tropical semifield. Zbl 1412.90143 Krivulin, Nikolai 4 2018 Unbiased estimates for gradients of stochastic network performance measures. Zbl 0791.60081 Krivulin, Nikolai 3 1993 A maximization problem in tropical mathematics: a complete solution and application examples. Zbl 1387.90272 Krivulin, Nikolai 3 2016 Algebraic solutions of tropical optimization problems. Zbl 1336.65107 Krivulin, N. 3 2015 Solving a tropical optimization problem via matrix sparsification. Zbl 1386.90173 Krivulin, Nikolai 3 2015 Calculating the Lyapunov exponent for generalized linear systems with exponentially distributed elements of the transition matrix. Zbl 1175.65009 Krivulin, N. K. 3 2009 Algebraic solution of tropical optimization problems via matrix sparsification with application to scheduling. Zbl 1386.90174 Krivulin, Nikolai 3 2017 Evaluation of the growth rate of the state vector in a second-order generalized linear stochastic system. Zbl 1158.34040 Krivulin, N. K. 2 2008 Using tropical optimization techniques in bi-criteria decision problems. Zbl 07205159 Krivulin, Nikolai 2 2020 Solution of a tropical optimization problem with linear constraints. Zbl 1370.90171 Krivulin, N. K.; Sorokin, V. N. 2 2015 The growth rate of state vector in a generalized linear dynamical system with random triangular matrix. Zbl 1105.93040 Krivulin, N. K. 1 2005 Using max-algebra linear models in the representation of queueing systems. Zbl 0813.60093 Krivulin, Nikolai K. 1 1994 The growth rate of state vector in a generalized linear stochastic system with symmetric matrix. Zbl 1115.93097 Krivulin, N. K. 1 2007 A max-algebra approach to modeling and simulation of tandem queueing systems. Zbl 0831.60100 Krivulin, N. K. 1 1995 Tropical implementation of the analytical hierarchy process decision method. Zbl 1464.91034 Krivulin, Nikolai; Sergeev, Sergeĭ 1 2019 Evaluation of the growth rate of the state vector in a generalized linear stochastic system. Zbl 1143.93344 Krivulin, N. K. 1 2007 Algebraic solution of minimax single-facility constrained location problems with Chebyshev and rectilinear distances. Zbl 1455.90102 Krivulin, Nikolai 1 2020 Complete solution of tropical vector inequalities using matrix sparsification. Zbl 07285955 Krivulin, Nikolai 1 2020 Using tropical optimization to solve minimax location problems with a rectilinear metric on the line. Zbl 1430.90381 Krivulin, N. K.; Plotnikov, P. V. 1 2016 Algebraic solution of weighted minimax single-facility constrained location problems. Zbl 1518.90045 Krivulin, Nikolai 1 2018 Complete solution of an optimization problem in tropical semifield. Zbl 1386.90175 Krivulin, Nikolai 1 2017 Methods of tropical optimization in rating alternatives based on pairwise comparisons. Zbl 1375.90313 Krivulin, Nikolai 1 2018 On the optimization of complex systems under imitation modeling. Zbl 0701.90036 Krivulin, N. K. 1 1990 Calculating the mean growth rate of the vector of states of a stochastic system with synchronization of events. Zbl 1252.93119 Krivulin, N. K. 1 2011 Algebraic solution of a problem of optimal project scheduling in project management. Zbl 1468.90050 Krivulin, N. K.; Gubanov, S. A. 1 2021 Rank-one approximation of positive matrices based on methods of tropical mathematics. Zbl 1401.90263 Krivulin, N. K.; Romanova, E. Yu. 1 2018 Algebraic solution of a problem of optimal project scheduling in project management. Zbl 1468.90050 Krivulin, N. K.; Gubanov, S. A. 1 2021 Using tropical optimization techniques in bi-criteria decision problems. Zbl 07205159 Krivulin, Nikolai 2 2020 Algebraic solution of minimax single-facility constrained location problems with Chebyshev and rectilinear distances. Zbl 1455.90102 Krivulin, Nikolai 1 2020 Complete solution of tropical vector inequalities using matrix sparsification. Zbl 07285955 Krivulin, Nikolai 1 2020 Tropical implementation of the analytical hierarchy process decision method. Zbl 1464.91034 Krivulin, Nikolai; Sergeev, Sergeĭ 1 2019 Complete algebraic solution of multidimensional optimization problems in tropical semifield. Zbl 1412.90143 Krivulin, Nikolai 4 2018 Algebraic solution of weighted minimax single-facility constrained location problems. Zbl 1518.90045 Krivulin, Nikolai 1 2018 Methods of tropical optimization in rating alternatives based on pairwise comparisons. Zbl 1375.90313 Krivulin, Nikolai 1 2018 Rank-one approximation of positive matrices based on methods of tropical mathematics. Zbl 1401.90263 Krivulin, N. K.; Romanova, E. Yu. 1 2018 Direct solution to constrained tropical optimization problems with application to project scheduling. Zbl 1397.90312 Krivulin, Nikolai 12 2017 Tropical optimization problems with application to project scheduling with minimum makespan. Zbl 1411.90325 Krivulin, Nikolai 7 2017 Tropical optimization problems in time-constrained project scheduling. Zbl 1360.65176 Krivulin, N. 7 2017 Using tropical optimization to solve constrained minimax single-facility location problems with rectilinear distance. Zbl 1397.90240 Krivulin, Nikolai 5 2017 Algebraic solution of tropical optimization problems via matrix sparsification with application to scheduling. Zbl 1386.90174 Krivulin, Nikolai 3 2017 Complete solution of an optimization problem in tropical semifield. Zbl 1386.90175 Krivulin, Nikolai 1 2017 A maximization problem in tropical mathematics: a complete solution and application examples. Zbl 1387.90272 Krivulin, Nikolai 3 2016 Using tropical optimization to solve minimax location problems with a rectilinear metric on the line. Zbl 1430.90381 Krivulin, N. K.; Plotnikov, P. V. 1 2016 Extremal properties of tropical eigenvalues and solutions to tropical optimization problems. Zbl 1307.65089 Krivulin, Nikolai 25 2015 A multidimensional tropical optimization problem with a non-linear objective function and linear constraints. Zbl 1311.65086 Krivulin, Nikolai 20 2015 On an algebraic solution of the Rawls location problem in the plane with rectilinear metric. Zbl 1370.90137 Krivulin, N. K.; Plotnikov, P. V. 5 2015 Algebraic solutions of tropical optimization problems. Zbl 1336.65107 Krivulin, N. 3 2015 Solving a tropical optimization problem via matrix sparsification. Zbl 1386.90173 Krivulin, Nikolai 3 2015 Solution of a tropical optimization problem with linear constraints. Zbl 1370.90171 Krivulin, N. K.; Sorokin, V. N. 2 2015 A constrained tropical optimization problem: complete solution and application example. Zbl 1320.65101 Krivulin, Nikolai 12 2014 Complete solution of a constrained tropical optimization problem with application to location analysis. Zbl 1386.90172 Krivulin, Nikolai 10 2014 An extremal property of the eigenvalue of irreducible matrices in idempotent algebra and solution of the Rawls location problem. Zbl 1272.15007 Krivulin, N. K. 11 2011 Calculating the mean growth rate of the vector of states of a stochastic system with synchronization of events. Zbl 1252.93119 Krivulin, N. K. 1 2011 Calculating the Lyapunov exponent for generalized linear systems with exponentially distributed elements of the transition matrix. Zbl 1175.65009 Krivulin, N. K. 3 2009 Evaluation of the growth rate of the state vector in a second-order generalized linear stochastic system. Zbl 1158.34040 Krivulin, N. K. 2 2008 The growth rate of state vector in a generalized linear stochastic system with symmetric matrix. Zbl 1115.93097 Krivulin, N. K. 1 2007 Evaluation of the growth rate of the state vector in a generalized linear stochastic system. Zbl 1143.93344 Krivulin, N. K. 1 2007 Evaluation of bounds on the mean rate of growth of the state vector of a linear dynamical stochastic system in idempotent algebra. Zbl 1105.93055 Krivulin, N. K. 4 2005 The growth rate of state vector in a generalized linear dynamical system with random triangular matrix. Zbl 1105.93040 Krivulin, N. K. 1 2005 A max-algebra approach to modeling and simulation of tandem queueing systems. Zbl 0831.60100 Krivulin, N. K. 1 1995 A recursive equations based representation for the \(G/G/m\) queue. Zbl 0808.60078 Krivulin, N. K. 6 1994 Using max-algebra linear models in the representation of queueing systems. Zbl 0813.60093 Krivulin, Nikolai K. 1 1994 Unbiased estimates for gradients of stochastic network performance measures. Zbl 0791.60081 Krivulin, Nikolai 3 1993 Optimization of complex systems for simulation modeling. Zbl 0709.90034 Krivulin, N. K. 8 1990 On the optimization of complex systems under imitation modeling. Zbl 0701.90036 Krivulin, N. K. 1 1990 all cited Publications top 5 cited Publications all top 5 Cited by 44 Authors 34 Krivulin, Nikolai K. 2 Amiraslani, Amirhossein 2 Bandi, Chaithanya 2 Bertsimas, Dimitris John 2 Ermoliev, Yuri M. 2 Ghalandarzadeh, Shaban 2 Gubanov, S. A. 2 Jamshidvand, Sedighe 2 Norkin, Vladimir I. 2 Olia, Fateme 2 Plotnikov, P. V. 2 Romanova, Elena Yu. 2 Sorokin, Vladimir N. 2 Wang, Huili 2 Youssef, Nataly 1 Basko, Ul’yana L’vovna 1 Bryushinin, M. A. 1 Castaño-Fernández, Ana Belén 1 Chang, Byeong-Yun 1 Chen, Toly 1 Ćirić, Miroslav D. 1 Djurdjanović, Dragan 1 Gavalec, Martin 1 Gursoy, Buket Benek 1 Hajarian, Masoud 1 Khaleghzade, Sedighe 1 Lee, Jinpyo 1 Li, Pingke 1 Martínez, José Antonio 1 Mason, Oliver 1 Němcová, Zuzana 1 Nobakhtian, Soghra 1 Parsons, Jamie 1 Peperko, Aljoša 1 Puertas, María Luz 1 Rabta, Boualem 1 Raeisi Dehkordi, Ahmadreza 1 Romanovsky, Joseph V. 1 Rozikov, Utkir A. 1 Seo, Dong-Won 1 Stamenković, Aleksandar 1 Unterreiter, Andreas 1 Vladeva, Dimitrinka Ivanova 1 Zangiabadi, Mostafa all top 5 Cited in 23 Serials 16 Vestnik St. Petersburg University. Mathematics 4 Kybernetika 4 Optimization 4 Computational Management Science 3 Linear Algebra and its Applications 3 Journal of Logical and Algebraic Methods in Programming 2 Fuzzy Sets and Systems 2 Applied Mathematics Letters 2 Lobachevskii Journal of Mathematics 1 Mathematics and Computers in Simulation 1 Operations Research 1 Acta Applicandae Mathematicae 1 Asia-Pacific Journal of Operational Research 1 Mathematical and Computer Modelling 1 Queueing Systems 1 Annals of Operations Research 1 Applications of Mathematics 1 Discrete Event Dynamic Systems 1 European Journal of Operational Research 1 Cybernetics and Systems Analysis 1 Computational and Applied Mathematics 1 Journal of Algebra and its Applications 1 Mathematical Sciences all top 5 Cited in 17 Fields 38 Operations research, mathematical programming (90-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 13 Numerical analysis (65-XX) 4 Probability theory and stochastic processes (60-XX) 4 Systems theory; control (93-XX) 3 Associative rings and algebras (16-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Combinatorics (05-XX) 2 Field theory and polynomials (12-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Computer science (68-XX) 1 Mathematical logic and foundations (03-XX) 1 Algebraic geometry (14-XX) 1 Statistics (62-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year