ITERATIVE METHODS FOR LARGE SCALE PROBLEM

Document Type : Research Paper

Authors

1 Baku State University, Baku, Azerbaijan.

2 Institute of Applied Mathematics, BSU, Baku, Azerbaijan.

Abstract

One linear bi-criterion mathematical program, which appears as a large-scale problem in practice, is considered. Problems, related to the large size, are usually solved with the help of the methods, based on the possibilities created by the zeros of the matrix of the problem. In this way, a large number of different separation schemes have been suggested in the scientific literature. However, the problems considered here have no such possibility due to its large size. In order to overcome the size problem during the solution of the problem, the possibility of reducing it to a smaller problem is investigated. The reduction is carried out without disturbing the original structure of the problem. The goal is to maintain the possibility of using the existing effective solution methods for the problems before the reduction also for the problems received after the reduction. Suggested here method mainly uses sequential approximation schemes in fulfilling.

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Articles in Press, Accepted Manuscript
Available Online from 30 July 2025
  • Receive Date: 21 May 2025
  • Revise Date: 15 July 2025
  • Accept Date: 24 July 2025