54 citations · 511 across the 66 of their papers we have counts for
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A solution of a tropical linear vector equation
Nikolai Krivulin
A linear vector equation is considered defined in terms of idempotent mathematics. To solve the equation, we apply an approach that is based on the analysis of distances between ve…
A tropical extremal problem with nonlinear objective function and linear inequality constraints
Nikolai Krivulin
We consider a multidimensional extremal problem formulated in terms of tropical mathematics. The problem is to minimize a nonlinear objective function, which is defined on a finite…
Evaluation of the mean cycle time in stochastic discrete event dynamic systems
Nikolai Krivulin
We consider stochastic discrete event dynamic systems that have time evolution represented with two-dimensional state vectors through a vector equation that is linear in terms of a…
Algebraic solution to a constrained rectilinear minimax location problem on the plane
Nikolai Krivulin
We consider a constrained minimax single facility location problem on the plane with rectilinear distance. The feasible set of location points is restricted to rectangles with side…
Algebraic solutions to multidimensional minimax location problems with Chebyshev distance
Nikolai Krivulin
Multidimensional minimax single facility location problems with Chebyshev distance are examined within the framework of idempotent algebra. A new algebraic solution based on an ext…
Evaluation of the Lyapunov exponent for generalized linear second-order exponential systems
Nikolai Krivulin
We consider generalized linear stochastic dynamical systems with second-order state transition matrices. The entries of the matrix are assumed to be either independent and exponent…