Abstract: Let a ⊕ b = max(a, b) and a ⊗ b = a + b for a, b ∈ ℝ. Extend this pair of operations to matrices and vectors in the same way as in linear algebra. Being motivated by scheduling of ...

This new edition covers the central concepts of practical optimization techniques, with an emphasis on methods that are both state-of-the-art and popular. One major insight is the connection between ...

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 ...

This course is available on the MSc in Applicable Mathematics, MSc in Management Science (Operational Research), MSc in Statistics, MSc in Statistics (Financial Statistics), MSc in Statistics ...

This project aims at popularizing the usage of numerical methods, and in particular, linear programming techniques, for solving various types of information- and incentive-constrained problems in ...

Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

In recent years, several condition numbers were defined for a variety of linear programming problems based upon relative distances to ill-posedness. In this paper, we provide a unifying view of some ...