A considerable amount of it is unified by the theory of linear programming. Some examples of combinatorial optimization problems that are covered by this framework are shortest paths and …

Linear programming captures one of the most canonical and influential constrained optimiza- tion problems. More precisely, it asks to maximize or minimize a linear objective under linear

A fundamental method in combinatorial optimization is to write a combinatorial op-timization problem as a linear program with integer variables. There are usually many ways to do so; …

Combinatorial Optimization provides a thorough treatment of linear programming and combinatorial optimization. Topics include network flow, matching theory, matroid optimization, …

Linear Programming deals with the problem of optimizing a linear objective function subject to linear equality and inequality constraints on the decision variables. Linear programming has …

The powerful theory of duality of linear programming, that we will describe in the next lecture, is a very useful mathematical theory to reason about algo-rithms, including purely combinatorial …

Summary: In this class, we discuss some geometrical interpretations of linear programs and a high-level description of the simplex algorithm. We also introduce methods for implementing …

In this thesis we consider fundamental problems in continuous and combinatorial optimization that occur pervasively in practice and show how to improve upon the best known theoretical …

NOPT048 Linear Programming and Combinatorial Optimization Notes by Marcel K. Goh (Prague, Czech Rep.) 9 June 2019 1. DEFINITIONS AND THEOREMS 1.1. Linear and integer …

Lecture 1: Admin matters, Introduction, Optimization problems, Convexity, Convex opt, general overview. Lecture 2: Two forms of LP (canonical and equational form), basic feasible …