Abstract: In this work, we extend the simplex algorithm of linear programming for finding a local minimum of a concave quadratic function subject to box constraints. In order to test the performance ...

The original version of this story appeared in Quanta Magazine. In 1939, upon arriving late to his statistics course at UC Berkeley, George Dantzig—a first-year graduate student—copied two problems ...

Python program to solve problems using the simplex method, with options for graphical mode and dual method, addressing both maximization and minimization problems.

Introduction: In unsupervised learning, data clustering is essential. However, many current algorithms have issues like early convergence, inadequate local search capabilities, and trouble processing ...

The original version of this story appeared in Quanta Magazine. For computer scientists, solving problems is a bit like mountaineering. First they must choose a problem to solve—akin to identifying a ...

ABSTRACT: The outbreak of COVID-19 in 2019 resulted in numerous infections and deaths. In order to better study the transmission of COVID-19, this article adopts an improved fractional-order SIR model ...

Let’s create a reality dating show unlike any other in one key aspect. First, we’ll rent a villa on a tropical island. Then we’ll fly in five men and five women, each with their own (heterosexual) ...

Imagine you’re cruising down the highway and notice that you are running low on fuel. Your GPS shows 10 gas stations ahead on your route. Naturally, you want the cheapest option. You pass the first ...