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The L\'evy flight foraging hypothesis states that organisms must have evolved adaptations to exploit L\'evy walk search strategies. Indeed, it is widely accepted that inverse square L\'evy walks optimize the search efficiency in foraging…

In this paper, we intend to formulate a new metaheuristic algorithm, called Cuckoo Search (CS), for solving optimization problems. This algorithm is based on the obligate brood parasitic behaviour of some cuckoo species in combination with…

Optimization and Control · Mathematics 2020-07-17 Xin-She Yang , Suash Deb

This paper investigates the controller optimization for a helicopter system with three degrees of freedom (3-DOF). To control the system, we combined fuzzy logic with adaptive control theory. The system is extensively nonlinear and highly…

Robotics · Computer Science 2022-05-03 Shokoufeh Naderi , Maude J. Blondin , Behrooz Rezaie

Swarm Intelligence is a metaheuristic optimization approach that has become very predominant over the last few decades. These algorithms are inspired by animals' physical behaviors and their evolutionary perceptions. The simplicity of these…

Neural and Evolutionary Computing · Computer Science 2019-04-23 Ahmed S. Shamsaldin , Tarik A. Rashid , Rawan A. Al-Rashid Agha , Nawzad K. Al-Salihi , Mokhtar Mohammadi

We consider a forager diffusing via a fractional heat equation and we introduce several efficiency functionals whose optimality is discussed in relation to the L\'evy exponent of the evolution equation. Several biological scenarios, such as…

Analysis of PDEs · Mathematics 2022-07-21 Serena Dipierro , Giovanni Giacomin , Enrico Valdinoci

In natural foraging, many organisms seem to perform two different types of motile search: directed search (taxis) and random search. The former is observed when the environment provides cues to guide motion towards a target. The latter…

Statistical Mechanics · Physics 2017-12-27 Łukasz Kuśmierz , Taro Toyoizumi

Nature-inspired metaheuristic algorithms, especially those based on swarm intelligence, have attracted much attention in the last ten years. Firefly algorithm appeared in about five years ago, its literature has expanded dramatically with…

Optimization and Control · Mathematics 2013-08-20 Xin-She Yang , Xingshi He

Foraging is a complex spatio-temporal process which is often described with stochastic models. Two particular ones, L\'evy walks (LWs) and intermittent search (IS), became popular in this context. Researchers from the two communities, each…

Statistical Mechanics · Physics 2025-05-05 Pedro Lencastre , Yurii Bystryk , Anis Yazidi , Sergey Denisov , Pedro G. Lind

Studies on computational neuroscience through functional magnetic resonance imaging (fMRI) and following biological inspired system stated that human action recognition in the brain of mammalian leads two distinct pathways in the model,…

Artificial Intelligence · Computer Science 2016-02-23 Bardia Yousefi , Chu Kiong Loo

L\'evy walks are random walk processes whose step-lengths follow a long-tailed power-law distribution. Due to their abundance as movement patterns of biological organisms, significant theoretical efforts have been devoted to identifying the…

Data Structures and Algorithms · Computer Science 2021-07-23 Brieuc Guinard , Amos Korman

To solve the Unmanned Aerial Vehicle (UAV) path planning problem, a meta-heuristic optimization algorithm called competitive game optimizer (CGO) is proposed. In the CGO model, three phases of exploration and exploitation, and candidate…

Systems and Control · Electrical Eng. & Systems 2024-04-16 Tai-shan Lou , Guang-sheng Guan , Zhe-peng Yue , Yu Wang , Ren-long Qi , Shi-hao Tong

We study the kinetics for the search of an immobile target by randomly moving searchers that detect it only upon encounter. The searchers perform intermittent random walks on a one-dimensional lattice. Each searcher can step on a nearest…

Statistical Mechanics · Physics 2015-05-14 Gleb Oshanin , Katja Lindenberg , Horacio S Wio , Sergei Burlatsky

Over the last three decades more then sixty meta-heuristic algorithms have been proposed by the various authors. Such algorithms are inspired from physical phenomena, animal behavior or evolutionary concepts. These algorithms have been…

Neural and Evolutionary Computing · Computer Science 2019-09-27 Ashish Kumar Tripathi , Kapil Sharma , Manju Bala

Autonomous robots are commonly tasked with the problem of area exploration and search for certain targets or artifacts of interest to be tracked. Traditionally, the problem formulation considered is that of complete search and thus -…

Robotics · Computer Science 2018-12-13 Christos Papachristos , Kostas Alexis

Efficient motion planning algorithms are essential in robotics. Optimizing essential parameters, such as batch size and nearest neighbor selection in sampling-based methods, can enhance performance in the planning process. However, existing…

Robotics · Computer Science 2025-08-29 Liding Zhang , Qiyang Zong , Yu Zhang , Zhenshan Bing , Alois Knoll

The state-of-the-art DGF techniques redefine and optimize the fitness metric to reach the target sites precisely and quickly. However, optimizations for fitness metrics are mainly based on heuristic algorithms, which usually rely on…

Software Engineering · Computer Science 2025-07-30 Peihong Lin , Pengfei Wang , Xu Zhou , Wei Xie , Gen Zhang , Kai Lu

According to the no-free-lunch theorem, there is no single meta-heuristic algorithm that can optimally solve all optimization problems. This motivates many researchers to continuously develop new optimization algorithms. In this paper, a…

Neural and Evolutionary Computing · Computer Science 2020-06-12 Zhixi Li , Vincent Tam

Meta-heuristic algorithms are widely used to tackle complex optimization problems, including nonlinear, multimodal, and high-dimensional tasks. However, many existing methods suffer from premature convergence, limited exploration, and…

Optimization and Control · Mathematics 2025-10-29 Zhaoqi Sun , Qingsong Wang

The L\'evy hypothesis states that inverse square L\'evy walks are optimal search strategies because they maximise the encounter rate with sparse, randomly distributed, replenishable targets. It has served as a theoretical basis to interpret…

Statistical Mechanics · Physics 2020-02-27 Nicolas Levernier , Olivier Benichou , Johannes Textor , Raphael Voituriez

Two the most common tasks for autonomous mobile robots is to explore the environment and locate a target. %In the last case, the objective is either to find a target in the shortest time possible or, alternatively, to find %as many targets…

Robotics · Computer Science 2016-12-14 M. Krivonosov , S. Denisov , V. Zaburdaev