A new quantum-inspired algorithm has cracked a problem so massive that conventional supercomputers struggle to even approach it. Researchers used the method to simulate extraordinarily complex quantum ...

Assignment problems lie at the heart of combinatorial optimisation, seeking the most efficient mapping of a set of agents to a set of tasks under cost or profit criteria. The classical linear ...

In a standard paper assignment setting, a set $\mathcal{P}$ of $n^{(p)}$ papers needs to be assigned to a set $\mathcal{R}$ of $n^{(r)}$ reviewers. To ensure each ...

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 problem of determining the location of the hospital's department to minimize the total distance traveled by patients can be formulated as a Quadratic assignment problem (QAP), one of the ...

Abstract: The quadratic assignment problem (QAP) is a well-known optimization problem that has many applications in various engineering areas. Due to its NP-hard nature, rather than the exact methods, ...

This is a Python implementation of the Doubly Stochastic Projected Fixed Point (DSPFP) algorithm for solving the Quadratic Assignment Problem / Graph Matching..

Quadratic assignment is a very general problem in theoretical computer science. It includes graph matching, the traveling salesman problem, and the Gromov-Hausdorff distance between finite metric ...

ABSTRACT: Balas and Mazzola linearization (BML) is widely used in devising cutting plane algorithms for quadratic 0-1 programs. In this article, we improve BML by first strengthening the primal ...