Integer programming, a cornerstone of combinatorial optimisation, focuses on the selection of discrete decision variables to solve complex real‐world problems such as scheduling, network design and ...

This course examines formulation and solution of applicable optimization models, including linear, integer, nonlinear, and network problems, efficient algorithm methods, and use of computer modeling ...

Mathematics of Operations Research, Vol. 35, No. 1 (Feb., 2010), pp. 233-256 (24 pages) A maximal lattice free polyhedron L has max-facet-width equal to ω if $\max _{x \in L} \pi ^T x - \min _{x \in L ...

In this paper we discuss some branch and bound methods implemented in the UMPIRE mathematical programming system for solving practical integer programming problems and give details of computational ...