Abstract: This study proposes a novel technique for solving linear programming problems in a fully fuzzy environment. A modified version of the well-known dual simplex method is used for solving fuzzy ...

Standard computer implementations of Dantzig's simplex method for linear programming are based upon forming the inverse of the basic matrix and updating the inverse ...

Mixed Integer Linear Programming (MILP) is essential for modeling complex decision-making problems but faces challenges in computational tractability and requires expert formulation. Current deep ...

Abstract: This paper solves the issue of optimal location of phasor measurement unit (PMUs) using excel solver technology. The proposed method is implemented on standard IEEE 7, IEEE 9, IEEE 14, and ...

The Simplex Manufacturing Corporation was founded in the late 1920s in New Orleans, Louisiana. The founder was a Harley-Davidson dealership owner, who had pitched the manufacturer the concept of a ...

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Industrial Process and Energy Systems Engineering, École Polytechnique Fédérale de Lausanne, Sion, Switzerland This research presents a mathematical formulation for optimizing integration of complex ...

This book offers a theoretical and computational presentation of a variety of linear programming algorithms and methods with an emphasis on the revised simplex method and its components. A theoretical ...

Linear programming is the most fundamental optimization problem with applications in many areas including engineering, management, and economics. The simplex method is a practical and efficient ...

The paper presents an approach for avoiding and minimizing the complementary pivots in a simplex based solution method for a quadratic programming problem. The linearization of the problem is slightly ...