Abstract: Linear programming is a mathematical optimization technique used in numerous fields including mathematics, economics, and computer science, with numerous industrial contexts, including ...

Abstract: This paper investigates the equivalence between a class of mixed-integer linear and linear programming prob-lems. By utilizing the addition of slack variables theorem, we demonstrate that ...

This notebook serves as an introduction to Linear Programming and MILP with Python, covering both the concepts and practical applications through various popular optimization problems.

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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 ...

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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 ...

Under non-random uncertainty, a new idea of finding a possibly optimal solution for linear programming problem is examined in this paper. It is an application of the intuitionistic fuzzy set concept ...

Employee or labor scheduling is associated with assigning an appropriate number of workers to the jobs during each day of work. It requires determining when staff members will work and when part-time, ...