Application of the Simplex Method in Tasks for Determining an Optimal Production Program

Maya Todorova, Ginka Marinova, Neli Arabadzhieva-Kalcheva

2025

Abstract

In this paper is presented a method for solving linear optimization problems. The Simplex method's algorithm is described. Тhe specific practical problem related to finding an optimal solution to an economic task has been formulated and implemented using the Simplex method. The method is versatile, applicable to a wide range of tasks across various fields. It operates as a sequence of finite iterations and allows for identifying model characteristics, such as the existence of alternative optima and unsolvability. The Solver tool from Microsoft Excel is presented for deciding problems in the field of linear and nonlinear programming.

Paper Citation

in Harvard Style

Todorova M., Marinova G. and Arabadzhieva-Kalcheva N. (2025). Application of the Simplex Method in Tasks for Determining an Optimal Production Program. In Proceedings of the 2nd International Conference on Advances in Electrical, Electronics, Energy, and Computer Sciences - Volume 1: ICEEECS; ISBN 978-989-758-783-2, SciTePress, pages 69-73. DOI: 10.5220/0014352600004848

in Bibtex Style

@conference{iceeecs25,
author={Maya Todorova and Ginka Marinova and Neli Arabadzhieva-Kalcheva},
title={Application of the Simplex Method in Tasks for Determining an Optimal Production Program},
booktitle={Proceedings of the 2nd International Conference on Advances in Electrical, Electronics, Energy, and Computer Sciences - Volume 1: ICEEECS},
year={2025},
pages={69-73},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0014352600004848},
isbn={978-989-758-783-2},
}

in EndNote Style

TY - CONF

JO - Proceedings of the 2nd International Conference on Advances in Electrical, Electronics, Energy, and Computer Sciences - Volume 1: ICEEECS
TI - Application of the Simplex Method in Tasks for Determining an Optimal Production Program
SN - 978-989-758-783-2
AU - Todorova M.
AU - Marinova G.
AU - Arabadzhieva-Kalcheva N.
PY - 2025
SP - 69
EP - 73
DO - 10.5220/0014352600004848
PB - SciTePress