Write down the Linear Program (LP) relaxation of an IP Plot the graphical representation of an IP and find the optimal solution Understand the relationship between optimal solution of an IP and the ...

This project uses ordinal optimization for computationally efficient sizing of a hybrid energy system containing PV panels, batteries, diesel generators, and an intermittent grid. It also utilizes ...

Abstract: In this paper, we define a new subclass of integer linear programming problems called the composition problem. We shall propose efficient algorithms for solving this problem and its variants ...

The feasibility pump is a well-established primal heuristic for mixed integer programming (MIP) that alternates between solving a linear programming (LP) relaxation of the original problem and ...

Abstract: Green hydrogen is increasingly considered a cornerstone of clean energy, though it remains more expensive than hydrogen derived from fossil fuels. This study introduces a mixed-integer ...