The minimum cut and maximum flow problems form a well-known pair of dual problems providing a min-max relation. Similarly, the continuous relaxation of the minimum multicut problem is the linear dual ...

A Julia implementation of the Halpern Peaceman-Rachford (HPR) method for solving linear programming (LP) problems on the GPU.

We formulate this problem as a nonlinear Generalized Disjunctive Program (GDP), which, following transformation, results in a large-scale mixed-integer nonlinear programming (MINLP) problem. This ...

Loopwise route representation (LRR), which has been recently proposed as an alternative network representation, can determine the optimal path for the vehicle routing problems with a simpler ...

Problem 2: the image support in calamine it far too simplistic for anything but basic image export. Even with the "pictures" feature, while you can get the image data, the only metadata you get with ...

OpenAI on Friday unveiled a new artificial intelligence system, OpenAI o3, which is designed to “reason” through problems involving math, science and computer programming.

A study says that engineers who use the popular AI programming assistant GitHub Copilot don't experience any significant gains in efficiency.

They solve industrial-scale problems all the time,” sometimes with tens of thousands of variables, he said. Integer [Linear] Programming Algorithms for integer programming often take a first stab at a ...