Explore zero-one integer programming, a key method in logical problem-solving, using binary choices for optimal decisions in finance, production, and more.

The Lenstra–Lenstra–Lovász (LLL) Algorithm is a Polynomial-Time Algorithm that Finds a Short and Nearly Orthogonal Basis of a Lattice, which is Used for Applications Like Factoring Polynomials, ...

While delivering his victory speech on Tuesday night, New York City Mayor-elect Zohran Mamdani made a statement about the government's role in citizens' lives, sparking concern from critics online.

Elliot Varoy does not work for, consult, own shares in or receive funding from any company or organisation that would benefit from this article, and has disclosed no relevant affiliations beyond their ...

This paper proposes an exact method to solve an integer indefinite quadratic bilevel problem with multiple objectives at the upper level, where the objective functions at both levels are a product of ...

Consider someone who’s perfectly content with their office chair. It’s not ergonomic, it doesn’t have lumbar support, but it works. Then, during a meeting or a visit to a friend’s office, they sit in ...

These days, everyone seems to have an opinion about A.I. companions. Last year, I found myself joining the debate, publishing a paper—co-written with two fellow psychology professors and a philosopher ...

$$ \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 ...

In this paper, we present a new deterministic method to optimize a linear function over the efficient set of a multiple objective integer linear problem, it is called the 2-phase algorithm. This ...

A UNSW Sydney mathematician has discovered a new method to tackle algebra's oldest challenge—solving higher polynomial equations. Polynomials are equations involving a variable raised to powers, such ...