The importance of integer programming stems from the fact that it can be used to model a
vast array of problems arising from the most disparate areas, ranging from practical ones …

The finite control set model predictive control (FCS-MPC) for power electronic converters
provides high dynamic performance, based on the limited number of inputs and accurate …

This paper discusses algorithms and software for the enumeration of all lattice points inside
a rational convex polytope: we describe LattE, a computer package for lattice point …

Recent developments in integer-programming software systems have tremendously
improved our ability to solve large-scale instances. We review the major algorithmic …

The first 50 years of Integer and Mixed-Integer Programming have taken us to a very stable
paradigm for solving problems in a reliable and effective way. We run over these 50 exciting …

In this survey we address three of the principal algebraic approaches to integer
programming. After introducing lattices and basis reduction, we first survey their use in …

In Chaps. 5 and 6 we have introduced several classes of valid inequalities that can be used
to strengthen integer programming formulations in a cutting plane scheme. All these valid …

We consider the following integer feasibility problem: Given positive integer numbers a 0, a
1,…, an, with gcd (a 1,…, an)= 1 and a=(a 1,…, an), does there exist a vector x∈ ℤ n≥ 0 …

At the IPCO VI conference Cornuéjols and Dawande proposed a set of 0-1 linear
programming instances that proved to be very hard to solve by traditional methods, and in …

Inventors: Sanjay Mehrotra, Winnetka, IL (US); Zhifeng Li, Cary, NC (US) A method and
system using branching on hyperplanes and half-spaces computed from integral adjoint …