\textbf{Theorem (Neuman '47): Let $P = \{x \in \mathbb{R}^n \mid Ax \leq b \} \neq \emptyset$. Assume there exists a point in the polyhedron. $D = \{ y \in \mathbb{R ...

Abstract: Recently, linear programming problems with symmetric fuzzy numbers (LPSFN) have considered by some authors and have proposed a new method for solving these problems without converting to the ...

ABSTRACT: The Kuhn-Tucker theorem in nondifferential form is a well-known classical optimality criterion for a convex programming problems which is true for a convex problem in the case when a ...

ABSTRACT: Most of the current methods for solving linear fractional programming (LFP) problems depend on the simplex type method. In this paper, we present a new approach for solving linear fractional ...

This paper presents the basic concepts of linear programming, which consists in minimizing or maximizing a linear objective function with linear inequality or equality constraints on the variables of ...

Roughly, we will cover the following topics (some of them may be skipped depending on the time available). Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear ...

Maths Linear Programming Formulas: The Class 12 mathematics curriculum consists of several chapters, and new concepts are introduced to students. One such topic is the Class 12 NCERT Chapter 12 Linear ...