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Smarter optimization model could cut bridge and building materials by up to 90%

In 2022, global production of construction materials accounted for more than 7% of total carbon emissions. But how many of ...
Quanta Magazine

Error correction

Two researchers have proved that Penrose tilings, famous patterns that never repeat, are mathematically equivalent to a kind of quantum error correction. Integer ...
GitHub

Constraint Matters: Multi-modal Representation for Reducing Mixed-Integer Linear Programming

Official implementation of the paper: "CONSTRAINT MATTERS: MULTI-MODAL REPRESENTATION FOR REDUCING MIXED-INTEGER LINEAR PROGRAMMING", accepted by ICLR 2026. Model reduction is a powerful way to ...
Investopedia

Zero-One Integer Programming: Understanding and Practical Examples

Adam Hayes, Ph.D., CFA, is a financial writer with 15+ years Wall Street experience as a derivatives trader. Besides his extensive derivative trading expertise, Adam is an expert in economics and ...
GitHub

PaPILO — Parallel Presolve for Integer and Linear Optimization

PaPILO, a C++14-based software package, provides parallel presolve routines for (mixed integer) linear programming problems. The routines are implemented using templates which allows switching to ...
Nature

Combinatorial Optimization and Integer Programming Techniques

Combinatorial optimization and integer programming form the backbone of decision-making models in which discrete choices must be made under constraints. At its core, integer programming specialises in ...
IEEE

Sparse Array Design via Integer Linear Programming

Abstract: In this paper, a design framework based on integer linear programming is proposed for optimizing sparse array structures. We resort to binary vectors to formulate the design problem for ...
Scientific Research Publishing

A Dimensional Reduction Approach Based on Essential Constraints in Linear Programming ()

1 Department of Mathematics, University of Patras, Patras, Greece. 2 Department of Business Administration, University of Patras, Patras, Greece. This paper presents a new dimension reduction strategy ...