Integer programming is a crucial branch of mathematical optimisation that focuses on problems where some or all decision variables are constrained to be integers. This field underpins many practical ...

Formulations of mathematical programs often require that some of the decision variables take only integer values. Consider the formulation You can follow the same steps to identify binary variables.

https://doi.org/10.2307/2583984 • https://www.jstor.org/stable/2583984 Copy URL The main purpose of this paper is to demonstrate a real-world application of pure ...

Methods for NP-hard discrete optimization problems, including general methods like branch-and-bound and cutting planes, as well as special purpose branch-and-cut methods. Students will be able to ...

Recall the linear programming problem presented in the "Introduction to Mathematical Programming" chapter. In that problem, a firm produces two products, chocolates and gumdrops, that are processed by ...

https://doi.org/10.2307/3009435 • https://www.jstor.org/stable/3009435 Copy URL Commercial branch and bound codes for solving the general mixed integer linear ...

The 21st Conference on Integer Programming and Combinatorial Optimization (IPCO XXI) took place online on June 8-10. The conference was preceded by an online Summer School on June 6-7. The conference ...