History of Science and Engineering Annotation << Back The Historical Path to the Formation of Linear Programming Balamirzoev A.G., Amirov A.T., Tazhudinov A.Sh. This article describes the origin and early development of linear programming (LP). Within the framework of this study, the process of origin and evolution (LP) has been studied. The key mathematical foundations, such as the algebra of linear inequality systems, the geometry of convex sets, and minimization methods, which served as the foundation for the development of LP, are considered. It demonstrates how a variety of tasks stimulated interest in this fi eld, what motivations motivated researchers, and how different scientific fields came to similar conclusions. The complex of mathematical, social, political, economic, organizational and personal factors that contributed to the emergence of interest in LP is highlighted. Keywords: linear programming, inequalities, sets, minimization methods. DOI: 10.25791/intstg.12.2025.1586 Pp. 03-20.