Title
Theoretical Analysis of Stochastic Search Algorithms.
Abstract
Theoretical analyses of stochastic search algorithms, albeit few, have always existed since these algorithms became popular. Starting in the nineties a systematic approach to analyse the performance of stochastic search heuristics has been put in place. This quickly increasing basis of results allows, nowadays, the analysis of sophisticated algorithms such as population-based evolutionary algorithms, ant colony optimisation and artificial immune systems. Results are available concerning problems from various domains including classical combinatorial and continuous optimisation, single and multi-objective optimisation, and noisy and dynamic optimisation. This chapter introduces the mathematical techniques that are most commonly used in the runtime analysis of stochastic search heuristics. Careful attention is given to the very popular artificial fitness levels and drift analyses techniques for which several variants are presented. To aid the readeru0027s comprehension of the presented mathematical methods, these are applied to the analysis of simple evolutionary algorithms for artificial example functions. The chapter is concluded by providing references to more complex applications and further extensions of the techniques for the obtainment of advanced results.
Year
Venue
Field
2017
Handbook of Heuristics
Population,Artificial immune system,Search algorithm,Evolutionary algorithm,Computer science,Heuristics,Artificial intelligence,Ant colony,Combinatorial search,Machine learning
DocType
Volume
Citations 
Journal
abs/1709.00890
1
PageRank 
References 
Authors
0.36
24
2
Name
Order
Citations
PageRank
Per Kristian Lehre162742.60
Pietro Simone Oliveto221225.56