Zobrazeno 1 - 10
of 139
pro vyhledávání: '"Krivulin, N."'
Autor:
Krivulin, N., Gubanov, S.
Publikováno v:
Operational Research. 2024. Vol.24, N4. P.69. URL:https://link.springer.com/article/10.1007/s12351-024-00880-3
New solutions for problems in optimal scheduling of activities in a project under temporal constraints are developed in the framework of tropical algebra which deals with the theory and application of algebraic systems with idempotent operations. We
Externí odkaz:
http://arxiv.org/abs/2401.09216
Autor:
Krivulin, N., Garg, A.
Publikováno v:
Mathematics 12 (5), 644 (2024)
We propose and investigate a queueing model of a battery swapping and charging station (BSCS) for electric vehicles (EVs). A new approach to the analysis of the queueing model is developed, which combines the representation of the model as a stochast
Externí odkaz:
http://arxiv.org/abs/2401.09201
Tropical optimization techniques in multi-criteria decision making with Analytical Hierarchy Process
Autor:
Krivulin, N., Sergeev, S.
We apply methods and techniques of tropical optimization to develop a new theoretical and computational framework for the implementation of the Analytic Hierarchy Process in multi-criteria problems of rating alternatives from pairwise comparison data
Externí odkaz:
http://arxiv.org/abs/1801.10524
Autor:
Krivulin, N. K.
Publikováno v:
Journal of Mathematical Sciences, Vol.147, N4. P.6924-6928 (2007)
The mean growth rate of the state vector is evaluated for a generalized linear stochastic second-order system with a symmetric matrix. Diagonal entries of the matrix are assumed to be independent and exponentially distributed with different means, wh
Externí odkaz:
http://arxiv.org/abs/1706.05213
Autor:
Krivulin, N.
Publikováno v:
2016 Proc. 7th SIAM Workshop on Combinatorial Scientific Computing / Ed. by A.H. Gebremedhin, E.G. Boman, B. Ucar. SIAM, Philadelphia, PA, 2016. P. 62-72
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 approximate, in the log-Chebyshev sense, pairwise comparison matrices by reci
Externí odkaz:
http://arxiv.org/abs/1503.04003
Autor:
Krivulin, N.
Publikováno v:
Optimization, Vol.66, No.2. P.205-224 (2017)
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 relationships, release times, deadlines, and due dates. Scheduling p
Externí odkaz:
http://arxiv.org/abs/1502.06222
Direct solution to constrained tropical optimization problems with application to project scheduling
Autor:
Krivulin, N.
Publikováno v:
Computational Management Science, 2017. Vol.14, N1. P.91-113
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 objective function, which is defined on vectors over an idempotent semifield
Externí odkaz:
http://arxiv.org/abs/1501.07591
Autor:
Krivulin, N.
Publikováno v:
Lobachevskii J. Math. 2015, 36(4), 363-374
We consider multidimensional optimization problems, which are formulated and solved in terms of tropical mathematics. The problems are to minimize (maximize) a linear or nonlinear function defined on vectors over an idempotent semifield, and may have
Externí odkaz:
http://arxiv.org/abs/1406.1777
Autor:
Krivulin, N. K.
The problem of evaluation of Lyapunov exponent in queueing network analysis is considered based on models and methods of idempotent algebra. General existence conditions for Lyapunov exponent to exist in generalized linear stochastic dynamic systems
Externí odkaz:
http://arxiv.org/abs/1212.6069
Autor:
Krivulin, N. K., Nevzorov, V. B.
Publikováno v:
Applied Statistical Science V, 2001, pp. 145-155
The problem of exact evaluation of the mean service cycle time in tandem systems of single-server queues with both infinite and finite buffers is considered. It is assumed that the interarrival and service times of customers form sequences of indepen
Externí odkaz:
http://arxiv.org/abs/1212.5309