Genetic engineering via negative fitness:Evolutionary dynamics for global optimization

Immanuel Bomze and V. Stix

Annals of Operations Research, 1999, vol. 89, issue 0, 297-318

Abstract: In this paper, we provide a novel interpretation of a global optimization procedure forstandard quadratic problems (QPs) in terms of selection models. A standard QP consists ofmaximizing a quadratic form over the standard simplex. Recently, local solutions to standardQPs have been obtained with the help of replicator dynamics, which were designed to modelevolutionary processes. Following trajectories under these dynamics, one obtains a sequenceof feasible points with strictly increasing objective values, which approach stationary points.We present regularity conditions which ensure that the limiting points are indeed localsolutions, so that jamming could be avoided. Genetic engineering via negative fitness is ablock pivoting procedure which either delivers a certificate for global optimality of thecurrent local solution, or else enables an escape from its basin of attraction, if it is inefficient.The name originates from the way the block pivot is obtained: via minimization (rather thanmaximization) of a subproblem. We also elaborate on an important application, the searchfor a maximum clique in an undirected graph, and report both theoretical and empiricalresults. Copyright Kluwer Academic Publishers 1999

Date: 1999
References: Add references at CitEc
Citations:

Downloads: (external link)
http://hdl.handle.net/10.1023/A:1018935925761 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:89:y:1999:i:0:p:297-318:10.1023/a:1018935925761

Ordering information: This journal article can be ordered from
http://www.springer.com/journal/10479

DOI: 10.1023/A:1018935925761

Access Statistics for this article

Annals of Operations Research is currently edited by Endre Boros

More articles in Annals of Operations Research from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().