501 citations
- V. Shabaev2 profiles22 · h 47
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- Institute of PhysicsPL50 papers
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10 papers · 2 filters
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…
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…
On evaluation of the mean service cycle time in tandem queueing systems
N. K. Krivulin, V. B. Nevzorov
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…
Unbiased gradient estimation in queueing networks with parameter-dependent routing
N. K. Krivulin
A stochastic queueing network model with parameter-dependent service times and routing mechanism, and its related performance measures are considered. An estimate of performance me…