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

Abstract: Mixed-integer linear programs are widely used to model optimization problems involving both discrete and continuous variables, but remain computationally challenging due to the combinatorial ...

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 ...

The objective is to determine: • Which manufacturing facilities should operate • How much each facility should produce • How goods should be distributed to customers • How to minimize total supply ...

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 ...

Abstract: Utility-scale photovoltaic (PV) plants (UPVPs) are more prone to voltage limit violations than small-scale PV systems, due to the possible weak grid integration and the inherent large-scale ...

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 ...