Linear functions, as a canonical model of unimodal problems, have been widely used in the theoretical study of evolutionary algorithms (EAs). However in most of cases, only the simplest linear function, i.e. One-Max function, is taken in the theoretical study. A question arises naturally: whether can the results for One-Max function be generalized to linear functions? The main contribution of this paper is to generalize a result about the first hitting time of (1 + λ) EA from One-Max function to linear functions. A new proof is proposed based on drift analysis. This work is a direct extension of the previous analysis of (1 + 1) EA for linear functions.
|Title of host publication||Proceedings of 2010 IEEE Congress on Evolutionary Computation|
|Number of pages||6|
|Publication status||Published - 27 Sept 2010|
|Event||IEEE Congress on Evolutionary Computation (CEC) - Barcelona, Spain|
Duration: 18 Jul 2010 → 23 Jul 2010
|Conference||IEEE Congress on Evolutionary Computation (CEC)|
|Period||18 Jul 2010 → 23 Jul 2010|