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 ...

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 ...

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 ...

The following is a simple mixed integer programming problem. Details can be found in Example 3.8 in the "Examples" section. data; input _row_ $10. choco gumdr ichoco igumdr _type_ $ _rhs_; datalines; ...

In this paper, we analyze a generalization of a classic network-flow model. The generalization involves the replacement of deterministic demand with stochastic demand. While this generalization ...

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 ...