A unifying framework is developed to facilitate the understanding of most known computational approaches to integer programming. A number of currently operational algorithms are related to this ...

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 ...

It is shown that the integer linear programming problem with a fixed number of variables is polynomially solvable. The proof depends on methods from geometry of numbers.

457IEMS 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 ...

The following is a simple mixed integer programming problem. Details can be found in Example 3.8 in the "Examples" section.

Example 3.8: A Simple Integer Program Recall the linear programming problem presented in the "Introduction to Mathematical Programming" chapter. In that problem, a firm produces two products, ...

The 21st Conference on Integer Programming and Combinatorial Optimization June 8-10, 2020, London, UK.

Mixed integer programming modeling for the satellite three-dimensional component assignment and layout optimization problem [J].