$$ \begin{array}{ll} \underset{x \in \mathbb{R}^n}{\min} \quad & \langle c, x \rangle \\ \text{s.t.} \quad & L \leq A x \leq U, \\ & l \leq x \leq u . \end{array ...

Optimization techniques have become a core tool for solving complex problems across diverse fields such as engineering design, economic planning, and scientific discovery. When tackling real-world ...

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 ...

Abstract: Traditional load shedding schemes can be inadequate in grids with high renewable penetration, leading to unstable events and unnecessary grid islanding. Although for both manual and ...

Abstract: In this paper, we address the bin packing problem while minimizing the total loading cost of used bins. We focus on two different quantity discount schemes: the all unit discount and the ...

Does ChatGPT harm critical thinking abilities? A new study from researchers at MIT’s Media Lab has returned some concerning results. The study divided 54 subjects—18 to 39 year-olds from the Boston ...