Mixed-integer nonlinear programming (MINLP) optimisation constitutes a critical methodology in tackling complex decision-making problems where both discrete choices and continuous variables are ...

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 ...

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 ...

Jeroslow and Lowe gave an exact geometric characterization of subsets of ℝ𝑛 that are projections of mixed-integer linear sets, also known as MILP-representable or MILP-R sets. We give an alternate ...