Using Feedback Functions in Linear Programming Problems

A. E. Umnov; E. A. Umnov

doi:10.1134/S0965542519100142

Using Feedback Functions in Linear Programming Problems

Authors: Umnov A.E.¹, Umnov E.A.¹
Affiliations:
1. Moscow Institute of Physics and Technology
Issue: Vol 59, No 10 (2019)
Pages: 1626-1638
Section: Article
URL: https://journal-vniispk.ru/0965-5425/article/view/180833
DOI: https://doi.org/10.1134/S0965542519100142
ID: 180833

Cite item

Full Text

Open Access
Restricted Access

Access granted
Restricted Access

Subscription Access

Abstract
About the authors
References
Supplementary files
Statistics

Abstract

A scheme for solving linear programming problems based on the use of auxiliary functions that implement feedback in the system of constraints imposed on the variables to be found and on the Lagrange multipliers is proposed. The validity of the proposed approach is proved.

Keywords

linear program, penalty function method, feedback functions, modified Lagrangian function, regularization

About the authors

A. E. Umnov

Moscow Institute of Physics and Technology

Author for correspondence.
Email: mail@umnov.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700

E. A. Umnov

Moscow Institute of Physics and Technology

Author for correspondence.
Email: mail@umnov.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700

Supplementary files

Supplementary Files

Action

1. JATS XML

Download

Username
Password
Remember me

Forgot password?	Register

Username
Password
Remember me

Forgot password?	Register