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Applications' performance is influenced by the mapping of processes to computing nodes, the frequency and volume of exchanges among processing elements, the network capacity, and the routing protocol. A poor mapping of application processes…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-03-11 Jonas H. Müller Korndörfer , Mario Bielert , Laércio L. Pilla , Florina M. Ciorba

The Multidimensional Assignment Problem (MAP or s-AP in the case of s dimensions) is an extension of the well-known assignment problem. The most studied case of MAP is 3-AP, though the problems with larger values of s have also a number of…

Data Structures and Algorithms · Computer Science 2010-03-30 Gregory Gutin , Daniel Karapetyan

Quadratic programming (QP) forms a crucial foundation in optimization, encompassing a broad spectrum of domains and serving as the basis for more advanced algorithms. Consequently, as the scale and complexity of modern applications continue…

Optimization and Control · Mathematics 2025-01-28 Augustinos D. Saravanos , Hunter Kuperman , Alex Oshin , Arshiya Taj Abdul , Vincent Pacelli , Evangelos A. Theodorou

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 an NP-hard fundamental combinatorial optimization problem introduced by Koopmans and Beckmann in 1957. The problem is to assign $n$ facilities to $n$ different locations with the goal of minimizing…

Quantum Physics · Physics 2025-05-02 Nathan Daly , Thomas Krauss , Julia Shapiro

Recent increase in the availability of warped images projected onto a manifold (e.g., omnidirectional spherical images), coupled with the success of higher-order assignment methods, has sparked an interest in the search for improved…

Computer Vision and Pattern Recognition · Computer Science 2020-07-30 Charu Sharma , Manohar Kaul

The emerging paradigm of distributed quantum computing promises a potential solution to scaling quantum computing to currently unfeasible dimensions. While this approach itself is still in its infancy, and many obstacles must still be…

Quantum Physics · Physics 2026-01-26 Leo Sünkel , Jonas Stein , Maximilian Zorn , Thomas Gabor , Claudia Linnhoff-Popien

The limited number of qubits per chip remains a critical bottleneck in quantum computing, motivating the use of distributed architectures that interconnect multiple quantum processing units (QPUs). However, executing quantum algorithms…

Quantum Physics · Physics 2026-01-21 Brayden Goldstein-Gelb , Kun Liu , John M. Martyn , Hengyun , Zhou , Yongshan Ding , Yuan Liu

Several high-throughput distributed data-processing applications require multi-hop processing of streams of data. These applications include continual processing on data streams originating from a network of sensors, composing a multimedia…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-26 Shah Asaduzzaman , Muthucumaru Maheswaran

We consider the incomplete multi-graph matching problem, which is a generalization of the NP-hard quadratic assignment problem for matching multiple finite sets. Multi-graph matching plays a central role in computer vision, e.g., for…

Computer Vision and Pattern Recognition · Computer Science 2024-06-27 Max Kahl , Sebastian Stricker , Lisa Hutschenreiter , Florian Bernard , Bogdan Savchynskyy

Applications such as megaregional planning require efficient methods for solving traffic assignment problems (TAPs) on large-scale networks. We propose a decomposition heuristic that generates approximate TAP solutions by partitioning the…

Optimization and Control · Mathematics 2022-06-28 Venktesh Pandey , Priyadarshan N. Patil

This paper gives processor-allocation algorithms for minimizing the average number of communication hops between the assigned processors for grid architectures, in the presence of occupied cells. The simpler problem of assigning processors…

Data Structures and Algorithms · Computer Science 2007-05-23 Michael A. Bender , David P. Bunde , Erik D. Demaine , Sandor P. Fekete , Vitus J. Leung , Henk Meijer , Cynthia A. Phillips

We propose a novel hierarchical qubit mapping and routing algorithm. First, a circuit is decomposed into blocks that span an identical number of qubits. In the second stage permutation-aware synthesis (PAS), each block is optimized and…

Quantum Physics · Physics 2023-05-05 Ji Liu , Ed Younis , Mathias Weiden , Paul Hovland , John Kubiatowicz , Costin Iancu

Collaborative perception (CP) is a critical technology in applications like autonomous driving and smart cities. It involves the sharing and fusion of information among sensors to overcome the limitations of individual perception, such as…

Machine Learning · Computer Science 2026-01-09 Mengmeng Zhu , Yuxuan Sun , Yukuan Jia , Wei Chen , Bo Ai , Sheng Zhou

Designing efficient quantum processor topologies is pivotal for advancing scalable quantum computing architectures. The communication overhead, a critical factor affecting the execution fidelity of quantum circuits, arises from inevitable…

Quantum Physics · Physics 2024-02-02 Sahar Ben Rached , Carmen G. Almudever , Eduard Alarcon , Sergi Abadal

In the era of the proliferation of Geo-Spatial Data, induced by the diffusion of GPS devices, the map matching problem still represents an important and valuable challenge. The process of associating a segment of the underlying road network…

Data Structures and Algorithms · Computer Science 2016-03-25 Paolo Cintia , Mirco Nanni

Current monolithic quantum computer architectures have limited scalability. One promising approach for scaling them up is to use a modular or multi-core architecture, in which different quantum processors (cores) are connected via quantum…

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

Multi-Access Point Coordination (MAPC) will be a key feature in next generation Wi-Fi 8 networks. MAPC aims to improve the overall network performance by allowing Access Points (APs) to share time, frequency and/or spatial resources in a…

Networking and Internet Architecture · Computer Science 2023-05-09 David Nunez , Malcom Smith , Boris Bellalta

Optimal assignment of classes to classrooms \cite{dickey}, design of DNA microarrays \cite{carvalho}, cross species gene analysis \cite{kolar}, creation of hospital layouts cite{elshafei}, and assignment of components to locations on…

Statistical Mechanics · Physics 2015-05-20 Gerald Paul , Jia Shao , H. Eugene Stanley