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Quadratic Assignment Problem (QAP) is an NP-hard combinatorial optimization problem, therefore, solving the QAP requires applying one or more of the meta-heuristic algorithms. This paper presents a comparative study between Meta-heuristic…

Artificial Intelligence · Computer Science 2014-07-21 Gamal Abd El-Nasser A. Said , Abeer M. Mahmoud , El-Sayed M. El-Horbaty

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

This paper discusses efficient parallel algorithms for obtaining strong lower bounds and exact solutions for large instances of the Quadratic Assignment Problem (QAP). Our parallel architecture is comprised of both multi-core processors and…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-11 Ketan Date , Rakesh Nagi

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

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 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 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

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

Recently various optimization problems, such as Mixed Integer Linear Programming Problems (MILPs), have undergone comprehensive investigation, leveraging the capabilities of machine learning. This work focuses on learning-based solutions…

Machine Learning · Computer Science 2024-06-21 Zhentao Tan , Yadong Mu

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,…

Research into the development of special-purpose computing architectures designed to solve quadratic unconstrained binary optimization (QUBO) problems has flourished in recent years. It has been demonstrated in the literature that such…

The Quadratic Assignment Problem (QAP) is an NP-hard problem which has proven particularly challenging to solve: unlike other combinatorial problems like the traveling salesman problem (TSP), which can be solved to optimality for instances…

Machine Learning · Computer Science 2023-10-04 Puneet S. Bagga , Arthur Delarue

Communication and topology aware process mapping is a powerful approach to reduce communication time in parallel applications with known communication patterns on large, distributed memory systems. We address the problem as a quadratic…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-07-23 Christian Schulz , Jesper Larsson Träff , Konrad von Kirchbach

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

The Quadratic Assignment Problem (QAP) is an important discrete optimization instance that encompasses many well-known combinatorial optimization problems, and has applications in a wide range of areas such as logistics and computer vision.…

Optimization and Control · Mathematics 2024-10-16 Junyu Chen , Yong Sheng Soh

Combinatorial optimization problems arise in logistics, scheduling, and resource allocation, yet existing approaches face a fundamental trade-off among generality, performance, and usability. We present cuGenOpt, a GPU-accelerated…

Artificial Intelligence · Computer Science 2026-03-20 Yuyang Liu

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

We study the set of optimal solutions of the dual linear programming formulation of the linear assignment problem (LAP) to propose a method for computing a solution from the relative interior of this set. Assuming that an arbitrary…

Optimization and Control · Mathematics 2025-05-23 Tomáš Dlask , Bogdan Savchynskyy

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

We demonstrate that the search space of the quadratic assignment problem (QAP), known as an NP-hard combinatorial optimization problem, can be reduced using Grover adaptive search (GAS) with permutation preparation operator (PPO). To that…

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