Abstract: The algorithms and software tools for solving large-scale NP-hard MILP (mixed-integer linear programming) problems are analyzed, specifically focusing on the modeling of electric power ...

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 ...

Looking for good code examples for LeetCode problems? You’re in luck! Lots of people share their solutions online, especially ...

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 ...

$$ \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 ...

Finding the right book can make a big difference, especially when you’re just starting out or trying to get better. We’ve ...

Mathematics, like many other scientific endeavors, is increasingly using artificial intelligence. Of course, math is the ...

It’s not about bad execution, but it boils down to thinking alignment. This happens when we use small tools for big problems, big tools for small problems, then we wonder why everyone is tired and ...

Like many of us, [Tim]’s seen online videos of circuit sculptures containing illuminated LED filaments. Unlike most of us, however, he went a step further by using graph theory to design glowing ...

Neuromorphic computers modeled after the human brain can now solve the complex equations behind physics simulations — something once thought possible only with energy-hungry supercomputers. The ...

Abstract: Unit commitment (UC) problems are typically formulated as mixed-integer programs (MIP) and solved by the branch-and-bound (B&B) scheme. The recent advances in graph neural networks (GNN) ...

Software engineering is the branch of computer science that deals with the design, development, testing, and maintenance of software applications. Software engineers apply engineering principles and ...