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Quadratically Constrained Quadratic Programs (QCQPs) are an important class of optimization problems with diverse real-world applications. In this work, we propose a variational quantum algorithm for general QCQPs. By encoding the variables…

Quantum Physics · Physics 2023-09-20 Hongyi Zhou , Sirui Peng , Qian Li , Xiaoming Sun

Bipartite b-matching is fundamental in algorithm design, and has been widely applied into economic markets, labor markets, etc. These practical problems usually exhibit two distinct features: large-scale and dynamic, which requires the…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-13 Xiaotian Hao , Junqi Jin , Jianye Hao , Jin Li , Weixun Wang , Yi Ma , Zhenzhe Zheng , Han Li , Jian Xu , Kun Gai

The Colored Bin Packing Problem (CBPP) is a generalization of the Bin Packing Problem (BPP). The CBPP consists of packing a set of items, each with a weight and a color, in bins of limited capacity, minimizing the number of used bins and…

Artificial Intelligence · Computer Science 2024-07-09 Renan F. F. da Silva , Yulle G. F. Borges , Rafael C. S. Schouery

This paper considers the task of performing binary search under noisy decisions, focusing on the application of target area localization. In the presence of noise, the classical partitioning approach of binary search is prone to error…

Information Theory · Computer Science 2025-05-01 Kaan Buyukkalayci , Merve Karakas , Xinlin Li , Christina Fragouli

Computing workflows in heterogeneous multiprocessor systems are frequently modeled as directed acyclic graphs of tasks and data blocks, which represent computational modules and their dependencies in the form of data produced by a task and…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Junwen Ding , Liangcai Song , Siyuan Li , Chen Wu , Ronghua He , Zhouxing Su , Zhipeng Lü

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

Mixed Binary Quadratic Programs (MBQPs) are a class of NP-hard problems that arise in a wide range of applications, including finance, machine learning, and chemical and energy systems. Large-scale MBQPs are challenging to solve with exact…

Optimization and Control · Mathematics 2025-07-22 Weimin Huang , Natalie M. Isenberg , Jan Drgona , Draguna L Vrabie , Bistra Dilkina

The combining of a General-Purpose Particle Swarm Optimizer (GP-PSO) with Sequential Quadratic Programming (SQP) algorithm for constrained optimization problems has been shown to be highly beneficial to the refinement, and in some cases,…

Neural and Evolutionary Computing · Computer Science 2021-01-27 Carwyn Pelley , Mauro S. Innocente , Johann Sienz

Tabu search is one of the most effective heuristics for locating high-quality solutions to a diverse array of NP-hard combinatorial optimization problems. Despite the widespread success of tabu search, researchers have a poor understanding…

Artificial Intelligence · Computer Science 2011-09-13 A. E. Howe , J. P. Watson , L. D. Whitley

The Equitable Coloring Problem is a variant of the Graph Coloring Problem where the sizes of two arbitrary color classes differ in at most one unit. This additional condition, called equity constraints, arises naturally in several…

Discrete Mathematics · Computer Science 2017-10-27 Isabel Méndez Díaz , Graciela Nasini , Daniel Severín

We present an algorithm that incorporates a tabu search procedure into the framework of path relinking to tackle the job shop scheduling problem (JSP). This tabu search/path relinking (TS/PR) algorithm comprises several distinguishing…

Data Structures and Algorithms · Computer Science 2014-02-25 Bo Peng , Zhipeng Lu , T. C. E. Cheng

In this paper we introduce the Tabu Enhanced Hybrid Quantum Optimization metaheuristic approach useful for optimization problem solving on a quantum hardware. We address the theoretical convergence of the proposed scheme from the viewpoint…

Quantum computers are different from binary digital electronic computers based on transistors. Common digital computing encodes the data into binary digits (bits), each of which is always in one of two definite states (0 or 1), quantum…

Emerging Technologies · Computer Science 2018-08-28 Carla Silva , Inês Dutra , Marcus S. Dahlem

The hidden subgroup problem~(HSP) is one of the most important problems in quantum computation. Many problems for which quantum algorithm achieves exponential speedup over its classical counterparts can be reduced to the Abelian HSP.…

Quantum Physics · Physics 2023-05-05 Hefeng Wang

The theory of fuzzy mathematics has been proven very effective for defining and solving optimization problems. Fuzzy quadratic programming (FQP) is a consequence of this approach. In this paper, an algorithm has been proposed to solve FQP…

General Mathematics · Mathematics 2022-07-25 Sajal Chakroborty

The school timetabling problem can be described as scheduling a set of lessons (combination of classes, teachers, subjects and rooms) in a weekly timetable. This paper presents a novel way to generate timetables for high schools. The…

Artificial Intelligence · Computer Science 2013-09-16 Salman Hooshmand , Mehdi Behshameh , Omid Hamidi

Integer Quadratic Programming (IQP) is an important problem in operations research. Local search is a powerful method for solving hard problems, but the research on local search algorithms for IQP solving is still on its early stage. This…

Artificial Intelligence · Computer Science 2024-10-01 Xiang He , Peng Lin , Shaowei Cai

The unconstrained binary quadratic programming (UBQP) problem is a class of problems of significant importance in many practical applications, such as in combinatorial optimization, circuit design, and other fields. The positive…

Optimization and Control · Mathematics 2024-08-12 Xinyue Huo , Ran Gu

Hybrid optimization algorithms have gained popularity as it has become apparent there cannot be a universal optimization strategy which is globally more beneficial than any other. Despite their popularity, hybridization frameworks require…

Neural and Evolutionary Computing · Computer Science 2013-03-15 Hassan A. Bashir , Richard S. Neville

Quantum Computing is considered as the next frontier in computing, and it is attracting a lot of attention from the current scientific community. This kind of computation provides to researchers with a revolutionary paradigm for addressing…

Emerging Technologies · Computer Science 2021-04-13 Eneko Osaba , Esther Villar-Rodriguez , Izaskun Oregi , Aitor Moreno-Fernandez-de-Leceta