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The running-time analysis of evolutionary combinatorial optimization is a fundamental topic in evolutionary computation. Its current research mainly focuses on specific algorithms for simplified problems due to the challenge posed by…

Neural and Evolutionary Computing · Computer Science 2025-01-14 Min Huang , Pengxiang Chen , Han Huang , Tonli He , Yushan Zhang , Zhifeng Hao

The Quantum Approximate Optimization Algorithm (QAOA) is an algorithmic framework for finding approximate solutions to combinatorial optimization problems, derived from an approximation to the Quantum Adiabatic Algorithm (QAA). In solving…

Quantum Physics · Physics 2020-02-05 Yue Ruan , Samuel Marsh , Xilin Xue , Xi Li , Zhihao Liu , Jingbo Wang

The quantum approximate optimization algorithm (QAOA) is a hybrid variational quantum-classical algorithm that solves combinatorial optimization problems. While there is evidence suggesting that the fixed form of the standard QAOA ansatz is…

A multiple knapsack constraint over a set of items is defined by a set of bins of arbitrary capacities, and a weight for each of the items. An assignment for the constraint is an allocation of subsets of items to the bins which adheres to…

Data Structures and Algorithms · Computer Science 2021-06-29 Yaron Fairstein , Ariel Kulik , Hadas Shachnai

Knapsack problems are classic models that can formulate a wide range of applications. In this work, we deal with the Budgeted Maximum Coverage Problem (BMCP), which is a generalized 0-1 knapsack problem. Given a set of items with…

Artificial Intelligence · Computer Science 2020-07-14 Liwen Li , Zequn Wei , Jin-Kao Hao , Kun He

In black-box combinatorial optimization, objective evaluations are often expensive, so high quality solutions must be found under a limited budget. Factorization machine with quantum annealing (FMQA) builds a quadratic surrogate model from…

Machine Learning · Computer Science 2026-02-11 Tetsuro Abe , Masashi Yamashita , Shu Tanaka

In dealing with constrained multi-objective optimization problems (CMOPs), a key issue of multi-objective evolutionary algorithms (MOEAs) is to balance the convergence and diversity of working populations.

Neural and Evolutionary Computing · Computer Science 2019-06-04 Zhun Fan , Zhaojun Wang , Wenji Li , Yutong Yuan , Yugen You , Zhi Yang , Fuzan Sun , Jie Ruan , Zhaocheng Li

Heuristic algorithms have shown a good ability to solve a variety of optimization problems. Stockpile blending problem as an important component of the mine scheduling problem is an optimization problem with continuous search space…

Neural and Evolutionary Computing · Computer Science 2021-02-11 Yue Xie , Aneta Neumann , Frank Neumann

Constrained multi-objective optimization problems (CMOPs) are ubiquitous in real-world engineering optimization scenarios. A key issue in constrained multi-objective optimization is to strike a balance among convergence, diversity and…

Neural and Evolutionary Computing · Computer Science 2021-03-12 Xinyu Shan , Ke Li

Evolutionary optimization is a generic population-based metaheuristic that can be adapted to solve a wide variety of optimization problems and has proven very effective for combinatorial optimization problems. However, the potential of this…

Multiagent Systems · Computer Science 2020-09-03 Saaduddin Mahmud , Moumita Choudhury , Md. Mosaddek Khan , Long Tran-Thanh , Nicholas R. Jennings

The Clustered Shortest-Path Tree Problem (CluSPT) plays an important role in various types of optimization problems in real-life. Recently, some Multifactorial Evolutionary Algorithm (MFEA) have been introduced to deal with the CluSPT,…

Artificial Intelligence · Computer Science 2021-02-22 Huynh Thi Thanh Binh , Ta Bao Thang , Nguyen Duc Thai , Pham Dinh Thanh

The Standard Quadratic optimization Problem (StQP), arguably the simplest among all classes of NP-hard optimization problems, consists of extremizing a quadratic form (the simplest nonlinear polynomial) over the standard simplex (the…

Optimization and Control · Mathematics 2024-06-04 Immanuel Bomze , Bo Peng , Yuzhou Qiu , E. Alper Yildirim

We present a detailed study of portfolio optimization using different versions of the quantum approximate optimization algorithm (QAOA). For a given list of assets, the portfolio optimization problem is formulated as quadratic binary…

Multitasking optimization is a recently introduced paradigm, focused on the simultaneous solving of multiple optimization problem instances (tasks). The goal of multitasking environments is to dynamically exploit existing complementarities…

Artificial Intelligence · Computer Science 2020-05-19 Eneko Osaba , Aritz D. Martinez , Jesus L. Lobo , Ibai Laña , Javier Del Ser

This paper proposes an extension method for Ant Colony Optimization (ACO) algorithm called Dynamic Impact. Dynamic Impact is designed to solve challenging optimization problems that has nonlinear relationship between resource consumption…

Neural and Evolutionary Computing · Computer Science 2020-02-12 Jonas Skackauskas , Tatiana Kalganova , Ian Dear , Mani Janakram

Multi-armed bandit problems are the predominant theoretical model of exploration-exploitation tradeoffs in learning, and they have countless applications ranging from medical trials, to communication networks, to Web search and advertising.…

Data Structures and Algorithms · Computer Science 2017-09-06 Ashwinkumar Badanidiyuru , Robert Kleinberg , Aleksandrs Slivkins

Portfolio optimization under strict cardinality constraints is a combinatorial challenge that defies classical convex optimization techniques, particularly in the context of "Direct Indexing" and ESG-constrained mandates. In the Noisy…

Quantum Physics · Physics 2026-02-17 Javier Mancilla , Theodoros D. Bouloumis , Frederic Goguikian

Quantum inspired Evolutionary Algorithms were proposed more than a decade ago and have been employed for solving a wide range of difficult search and optimization problems. A number of changes have been proposed to improve performance of…

Artificial Intelligence · Computer Science 2019-09-18 Nija Mani , Gursaran , Ashish Mani

We consider the chance-constrained binary knapsack problem (CKP), where the item weights are independent and normally distributed. We introduce a continuous relaxation for the CKP, represented as a non-convex optimization problem, which we…

Optimization and Control · Mathematics 2024-03-12 Junyoung Kim , Kyungsik Lee

One of the problems frequently mentioned as a candidate for quantum advantage is that of selecting a portfolio of financial assets to maximize returns while minimizing risk. In this paper we formulate several real-world constraints for use…

Materials Science · Physics 2022-03-10 Salvatore Certo , Anh Dung Pham , Daniel Beaulieu