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This paper investigates the performance of the emerging non-variational Quantum Walk-based Optimisation Algorithm (NV-QWOA) for solving small instances of the Quadratic Assignment Problem (QAP). NV-QWOA is benchmarked against classical…

Quantum Physics · Physics 2026-01-06 Andrew Freeland , Jingbo Wang

The Quadratic Assignment Problem (QAP) is a well-known NP-hard combinatorial optimization problem that is at the core of many real-world optimization problems. We prove that QAP can be written as the sum of three elementary landscapes when…

Discrete Mathematics · Computer Science 2011-10-27 Francisco Chicano , Gabriel Luque , Enrique Alba

The MaxCut problem is a fundamental problem in Combinatorial Optimization, with significant implications across diverse domains such as logistics, network design, and statistical physics. The algorithm represents innovative approaches that…

Quantum Physics · Physics 2025-01-03 Paulo A. Viana , Fernando M. de Paula Neto

We introduce the quadratic balanced optimization problem (QBOP) which can be used to model equitable distribution of resources with pairwise interaction. QBOP is strongly NP-hard even if the family of feasible solutions has a very simple…

Optimization and Control · Mathematics 2013-08-15 Abraham P. Punnen , Sara Taghipour , Daniel Karapetyan , Bishnu Bhattacharyya

The Hospital Residents setting models important problems like school choice, assignment of undergraduate students to degree programs, among many others. In this setting, fixed quotas are associated with the programs that limit the number of…

Data Structures and Algorithms · Computer Science 2025-04-01 Haricharan Balasundaram , Girija Limaye , Meghana Nasre , Abhinav Raja

The main problems of school course timetabling are time, curriculum, and classrooms. In addition there are other problems that vary from one institution to another. This paper is intended to solve the problem of satisfying the teachers…

Artificial Intelligence · Computer Science 2014-09-10 Ihab Sbeity , Mohamed Dbouk , Habib Kobeissi

The weight maximization problem (WMP) is the problem of finding the word of highest weight on a weighted finite state automaton (WFA). It is an essential question that emerges in many optimization problems in automata theory. Unfortunately,…

Neural and Evolutionary Computing · Computer Science 2020-04-15 Elena Gutiérrez , Takamasa Okudono , Masaki Waga , Ichiro Hasuo

The container relocation problem is a challenging combinatorial optimisation problem tasked with finding a sequence of container relocations required to retrieve all containers by a given order. Due to the complexity of this problem,…

Neural and Evolutionary Computing · Computer Science 2021-07-29 Mrko Đurasević , Mateja Đumić

Sequential Quadratic Programming (SQP) is a powerful class of algorithms for solving nonlinear optimization problems. Local convergence of SQP algorithms is guaranteed when the Hessian approximation used in each Quadratic Programming…

Optimization and Control · Mathematics 2017-04-12 Tuan T. Nguyen , Mircea Lazar , Hans Butler

We present a framework for learning to guide geometric task and motion planning (GTAMP). GTAMP is a subclass of task and motion planning in which the goal is to move multiple objects to target regions among movable obstacles. A standard…

Robotics · Computer Science 2022-03-10 Beomjoon Kim , Luke Shimanuki , Leslie Pack Kaelbling , Tomás Lozano-Pérez

In this paper, we present a polynomial-sized linear programming formulation of the Quadratic Assignment Problem (QAP). The proposed linear program is a network flow-based model. Hence, it provides for the solution of the QAP in polynomial…

Computational Complexity · Computer Science 2007-05-23 Moustapha Diaby

In this article, a globally convergent sequential quadratic programming (SQP) method is developed for multi-objective optimization problems with inequality type constraints. A feasible descent direction is obtained using a linear…

Optimization and Control · Mathematics 2020-05-20 Md Abu Talhamainuddin Ansary , Geetanjali Panda

Genetic programming (GP) is an evolutionary computation technique to solve problems in an automated, domain-independent way. Rather than identifying the optimum of a function as in more traditional evolutionary optimization, the aim of GP…

Neural and Evolutionary Computing · Computer Science 2019-05-15 Andrei Lissovoi , Pietro S. Oliveto

This paper proposes a new algorithm, referred to as GMAB, that combines concepts from the reinforcement learning domain of multi-armed bandits and random search strategies from the domain of genetic algorithms to solve discrete stochastic…

Neural and Evolutionary Computing · Computer Science 2023-02-16 Deniz Preil , Michael Krapp

This paper presents a genetic algorithm (GA) approach to cost-optimal task scheduling in a production line. The system consists of a set of serial processing tasks, each with a given duration, unit execution cost, and precedence…

Neural and Evolutionary Computing · Computer Science 2026-01-05 Alireza Rezaee

Most previous learning-based graph matching algorithms solve the \textit{quadratic assignment problem} (QAP) by dropping one or more of the matching constraints and adopting a relaxed assignment solver to obtain sub-optimal correspondences.…

Computer Vision and Pattern Recognition · Computer Science 2022-01-06 He Liu , Tao Wang , Yidong Li , Congyan Lang , Songhe Feng , Haibin Ling

The potential benefit of migrating software design from Structured to Object Oriented Paradigm is manifolded including modularity, manageability and extendability. This design migration should be automated as it will reduce the time…

Software Engineering · Computer Science 2018-01-04 Md. Selim , Saeed Siddik , Alim Ul Gias , M. Abdullah-Al-Wadud , Shah Mostafa Khaled

The Traveling salesman problem (TSP) is proved to be NP-complete in most cases. The genetic algorithm (GA) is one of the most useful algorithms for solving this problem. In this paper a conventional GA is compared with an improved hybrid GA…

Neural and Evolutionary Computing · Computer Science 2014-09-11 Keivan Borna , Vahid Haji Hashemi

A parallel genetic algorithm (GA) implemented on GPU clusters is proposed to solve the Uncapacitated Single Allocation p-Hub Median problem. The GA uses binary and integer encoding and genetic operators adapted to this problem. Our GA is…

Discrete Mathematics · Computer Science 2018-08-24 Abdelhamid Benaini , Achraf Berrajaa , Jaouad Boukachour , Mustapha Oudani

Effective access points (APs) selection is a crucial step in localization systems. It directly affects both localization accuracy and computational efficiency. Classical APs selection algorithms are usually computationally expensive,…

Quantum Physics · Physics 2024-07-15 Ahmed Shokry , Moustafa Youssef
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