Modern meta-heuristics based on nonlinear physics processes: A review of models and design procedures

S Salcedo-Sanz - Physics Reports, 2016 - Elsevier
Meta-heuristic algorithms are problem-solving methods which try to find good-enough
solutions to very hard optimization problems, at a reasonable computation time, where …

[HTML][HTML] Lévy flights in random searches

GM Viswanathan, V Afanasyev, SV Buldyrev… - Physica A: Statistical …, 2000 - Elsevier
We review the general search problem of how to find randomly located objects that can only
be detected in the limited vicinity of a forager, and discuss its quantitative description using …

Modelling the scaling properties of human mobility

C Song, T Koren, P Wang, AL Barabási - Nature physics, 2010 - nature.com
Individual human trajectories are characterized by fat-tailed distributions of jump sizes and
waiting times, suggesting the relevance of continuous-time random-walk (CTRW) models for …

Navigability of interconnected networks under random failures

M De Domenico, A Solé-Ribalta… - Proceedings of the …, 2014 - National Acad Sciences
Assessing the navigability of interconnected networks (transporting information, people, or
goods) under eventual random failures is of utmost importance to design and protect critical …

Lévy flight search patterns of wandering albatrosses

GM Viswanathan, V Afanasyev, SV Buldyrev… - Nature, 1996 - nature.com
LéVY flights are a special class of random walks whose step lengths are not constant but
rather are chosen from a probability distribution with a power-law tail. Realizations of Lévy …

[图书][B] Random walks and random environments

BD Hughes - 1996 - academic.oup.com
This is the second volume of a two-volume work devoted to probability theory in physical
chemistry, and engineering. Rather than dealing explicitly with the idea of an ongoing …

Optimizing the success of random searches

GM Viswanathan, SV Buldyrev, S Havlin, MGE da Luz… - nature, 1999 - nature.com
We address the general question of what is the best statistical strategy to adapt in order to
search efficiently for randomly located objects ('target sites'). It is often assumed in foraging …

Lévy walk patterns in the foraging movements of spider monkeys (Ateles geoffroyi)

G Ramos-Fernández, JL Mateos, O Miramontes… - Behavioral ecology and …, 2004 - Springer
Scale invariant patterns have been found in different biological systems, in many cases
resembling what physicists have found in other, nonbiological systems. Here we describe …

Fractals in biology and medicine

S Havlin, SV Buldyrev, AL Goldberger… - Chaos, Solitons & …, 1995 - Elsevier
Our purpose is to describe some recent progress in applying fractal concepts to systems of
relevance to biology and medicine. We review several biological systems characterized by …

Universal exploration dynamics of random walks

L Régnier, M Dolgushev, S Redner… - Nature …, 2023 - nature.com
The territory explored by a random walk is a key property that may be quantified by the
number of distinct sites that the random walk visits up to a given time. We introduce a more …