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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 ...

This repository contains a collection of prototype linear programming (LP) applications that implement specific algorithms I learned in college. The purpose is to demonstrate that these mathematical ...

Integer linear programming can help find the answer to a variety of real-world problems. Now researchers have found a much faster way to do it. The traveling salesperson problem is one of the oldest ...

Abstract: In this paper, based on the rotary iteration transformation in the simplex method, an artificial variable return-to-zero (RZ) algorithm is proposed to decide whether some condition ...

1 Department of Basic Sciences and Humanities, University of Asia Pacific, Dhaka, Bangladesh. 2 General Education Department, City University, Dhaka, Bangladesh. 3 Department of Mathematics, ...

In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.

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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 ...