The set of indices S identifies those variables that must take only integer values. When S does not contain all of the integers between 1 and n, inclusive, problem (mip) is called a mixed-integer ...

We will present the travelling salesperson problem (TSP): a very important and widely applicable combinatorial optimization problem, its NP-hardness and the hardness of approximating a general TSP ...

IEMS 457: Integer Programming VIEW ALL COURSE TIMES AND SESSIONS Prerequisites IE 450-1 or equivalent Description. Methods for NP-hard discrete optimization problems, including general methods like ...

Linear Programming: Basics, Simplex Algorithm, and Duality. Applications of Linear Programming: regression, classification and other engineering applications. Integer Linear Programming: Basics, ...

Integer linear programming can help find the answer to a variety of real-world problems. ... It wasn’t until 1983 that the mathematician Hendrik Lenstra proved that the general problem was even ...