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A quadratic assignment problem (QAP) is a combinatorial optimization problem that belongs to the class of NP-hard ones. So, it is difficult to solve in the polynomial time even for small instances. Research on the QAP has thus focused on…

Neural and Evolutionary Computing · Computer Science 2020-07-30 Zohreh Raziei , Reza Tavakkoli-Moghaddam , Siavash Tabrizian

The Quadratic Assignment Problem (QAP) is an important combinatorial optimization problem with applications in many areas including logistics and manufacturing. QAP is known to be NP-hard, a computationally challenging problem, which…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-24 Clara Novoa , Apan Qasem

The Quadratic Assignment Problem (QAP) is one of the models used for the multi-row layout problem with facilities of equal area. There are a set of n facilities and a set of n locations. For each pair of locations, a distance is specified…

Neural and Evolutionary Computing · Computer Science 2014-05-21 Hosein Azarbonyad , Reza Babazadeh

The generalized quadratic assignment problem (GQAP) is one of the hardest problems to solve in the operations research area. The GQAP addressed in this work is defined as the task of minimizing the assignment and transportation costs of…

Neural and Evolutionary Computing · Computer Science 2023-10-11 Mojtaba A. Farahani , Alan McKendall

For almost two decades the question of whether tabu search (TS) or simulated annealing (SA) performs better for the quadratic assignment problem has been unresolved. To answer this question satisfactorily, we compare performance at various…

Data Structures and Algorithms · Computer Science 2010-10-04 Gerald Paul

The quadratic assignment problem (QAP) is one of the most difficult combinatorial optimization problems. An effective heuristic for obtaining approximate solutions to the QAP is simulated annealing (SA). Here we describe an SA…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-20 Gerald Paul

The Quadratic Assignment Problem (QAP) is one of the major domains in the field of evolutionary computation, and more widely in combinatorial optimization. This paper studies the phase transition of the QAP, which can be described as a…

Artificial Intelligence · Computer Science 2024-03-06 Sébastien Verel , Sarah Thomson , Omar Rifki

The Quadratic Assignment Problem, QAP, is a classic combinatorial optimization problem, classified as NP-hard and widely studied. This problem consists in assigning N facilities to N locations obeying the relation of 1 to 1, aiming to…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-10-08 Alexandre Domingues Gonçalves , Artur Alves Pessoa , Lúcia Maria de Assumpção Drummond , Cristiana Bentes , Ricardo Farias

The quadratic assignment problem (QAP) is one of the most difficult combinatorial optimization problems. One of the most powerful and commonly used heuristics to obtain approximations to the optimal solution of the QAP is simulated…

Neural and Evolutionary Computing · Computer Science 2011-11-08 Gerald Paul

This research is focused on solving problems in the area of software project management using metaheuristic search algorithms and as such is research in the field of search based software engineering. The main aim of this research is to…

Neural and Evolutionary Computing · Computer Science 2016-05-09 Andy M. Connor , Amit Shah

We propose and develop an efficient implementation of the robust tabu search heuristic for sparse quadratic assignment problems. The traditional implementation of the heuristic applicable to all quadratic assignment problems is of O(N^2)…

Data Structures and Algorithms · Computer Science 2010-09-27 Gerald Paul

Quadratic Assignment Problem (QAP) is a practical combinatorial optimization problems that has been studied for several years. Since it is NP-hard, solving large problem instances of QAP is challenging. Although heuristics can find…

Machine Learning · Computer Science 2024-04-02 Satoko Iida , Ryota Yasudo

This paper presents a new algorithm based on integrating Genetic Algorithms and Tabu Search methods to solve the Job Shop Scheduling problem. The idea of the proposed algorithm is derived from Genetic Algorithms. Most of the scheduling…

Data Structures and Algorithms · Computer Science 2009-06-30 R. Thamilselvan , Dr. P. Balasubramanie

Solving Quadratic equation is one of the intrinsic interests as it is the simplest nonlinear equations. A novel approach for solving Quadratic Equation based on Genetic Algorithms (GAs) is presented. Genetic Algorithms (GAs) are a technique…

Neural and Evolutionary Computing · Computer Science 2013-06-20 Tanistha Nayak , Tirtharaj Dash

For any optimisation problem where diverse algorithmic approaches are available, the task of predicting algorithm performance and selecting the algorithm most likely to perform well on a given instance holds great practical interest.…

Optimization and Control · Mathematics 2025-06-26 Jeffrey Christiansen , Kate Smith-Miles

Matching one set of objects to another is a ubiquitous task in machine learning and computer vision that often reduces to some form of the quadratic assignment problem (QAP). The QAP is known to be notoriously hard, both in theory and in…

Machine Learning · Computer Science 2012-07-03 Deepti Pachauri , Maxwell Collins , Vikas SIngh , Risi Kondor

The bilinear assignment problem (BAP) is a generalization of the well-known quadratic assignment problem (QAP). In this paper, we study the problem from the computational analysis point of view. Several classes of neigborhood structures are…

Data Structures and Algorithms · Computer Science 2017-09-12 Vladyslav Sokol , Ante Ćustić , Abraham P. Punnen , Binay Bhattacharya

Quantum annealing and D-Wave quantum annealer attracted considerable attention for their ability to solve combinatorial optimization problems. In order to solve other type of optimization problems, it is necessary to apply certain kinds of…

Quantum Physics · Physics 2021-05-31 Michiya Kuramata , Ryota Katsuki , Kazuhide Nakata

In the paper, a parallel Tabu Search algorithm for the Resource Constrained Project Scheduling Problem is proposed. To deal with this NP-hard combinatorial problem many optimizations have been performed. For example, a resource evaluation…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-11-15 Libor Bukata , Premysl Sucha , Zdenek Hanzalek

Quadratic assignment problems (QAPs) arise in a wide variety of domains, ranging from operations research to graph theory to computer vision to neuroscience. In the age of big data, graph valued data is becoming more prominent, and with it,…

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