10 citations · 28 across the 6 of their papers we have counts for
6 papers
VaLiPro: Linear Programming Validator for Cluster Computing Systems
Leonid B. Sokolinsky, Irina M. Sokolinskaya
The article presents and evaluates a scalable algorithm for validating solutions of linear programming problems on cluster computing systems. The main idea of the method is to gene…
FRaGenLP: A Generator of Random Linear Programming Problems for Cluster Computing Systems
Leonid B. Sokolinsky, Irina M. Sokolinskaya
The article presents and evaluates a scalable FRaGenLP algorithm for generating random linear programming problems of large dimension on cluster computing systems. To ensure th…
Scalable Method for Linear Optimization of Industrial Processes
Leonid B. Sokolinsky, Irina M. Sokolinskaya
In the development of industrial digital twins, the optimization problem of technological and business processes often arises. In many cases, this problem can be reduced to a large…
Scalable parallel algorithm for solving non-stationary systems of linear inequalities
Leonid B. Sokolinsky, Irina M. Sokolinskaya
In this paper, a scalable iterative projection-type algorithm for solving non-stationary systems of linear inequalities is considered. A non-stationary system is understood as a la…
Scalability Evaluation of NSLP Algorithm for Solving Non-Stationary Linear Programming Problems on Cluster Computing Systems
Irina Sokolinskaya, Leonid B. Sokolinsky
The paper is devoted to a scalability study of the NSLP algorithm for solving non-stationary high-dimension linear programming problem on the cluster computing systems. The analysi…
On the Solution of Linear Programming Problems in the Age of Big Data
Irina Sokolinskaya, Leonid B. Sokolinsky
The Big Data phenomenon has spawned large-scale linear programming problems. In many cases, these problems are non-stationary. In this paper, we describe a new scalable algorithm c…