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 ...

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 ...

Abstract: The story behind the Euclidean algorithm and its relationship to the solution of the Diophantine equation is examined in this article. The Euclidean algorithm appears in Proposition 2 in ...

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 ...

MPAX is a hardware-accelerated, differentiable, batchable, and distributable solver for mathematical programming in JAX, designed to integrate with modern computational and deep learning workflows: ...

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 ...