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 ...

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 ...

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.

Parametric integer programming deals with a family of integer programs that is defined by the same constraint matrix but where the right-hand sides are points of a given polyhedron. The question is ...

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 ...

Start working toward program admission and requirements right away. Work you complete in the non-credit experience will transfer to the for-credit experience when you ...