Title
Running Time Analysis of Multi-objective Evolutionary Algorithms on a Simple Discrete Optimization Problem
Abstract
For the first time, a running time analysis of population-based multi-objective evolutionary algorithms for a discrete optimization problem is given. To this end, we define a simple pseudo-Boolean bi-objective problem (LOTZ: leading ones - trailing zeroes) and investigate time required to find the entire set of Pareto-optimal solutions. It is shown that different multi-objective generalizations of a (1+1) evolutionary algorithm (EA) as well as a simple population-based evolutionary multi-objective optimizer (SEMO) need on average at least 驴(n3) steps to optimize this function. We propose the fair evolutionary multi-objective optimizer (FEMO) and prove that this algorithm performs a black box optimization in 驴(n2 log n) function evaluations where n is the number of binary decision variables.
Year
DOI
Venue
2002
10.1007/3-540-45712-7_5
PPSN
Keywords
DocType
ISBN
time analysis,population-based multi-objective evolutionary algorithm,function evaluation,simple population-based evolutionary multi-objective,simple discrete optimization problem,black box optimization,fair evolutionary multi-objective optimizer,evolutionary algorithm,different multi-objective generalization,multi-objective evolutionary algorithms,n2 log n,discrete optimization problem,multi objective optimization,discrete optimization,timing analysis
Conference
3-540-44139-5
Citations 
PageRank 
References 
45
9.41
9
Authors
5
Name
Order
Citations
PageRank
Marco Laumanns11452108.63
Lothar Thiele214025957.82
Eckart Zitzler34678291.01
E. Welzl43311552.52
Kalyanmoy Deb5210581398.01