Global optimization of non-convex piecewise linear regression splines

Nadia Martinez (), Hadis Anahideh (), Jay M. Rosenberger (), Diana Martinez (), Victoria C. P. Chen () and Bo Ping Wang ()
Additional contact information
Nadia Martinez: American Airlines
Hadis Anahideh: University of Texas at Arlington
Jay M. Rosenberger: University of Texas at Arlington
Diana Martinez: TMAC
Victoria C. P. Chen: University of Texas at Arlington
Bo Ping Wang: University of Texas at Arlington

Journal of Global Optimization, 2017, vol. 68, issue 3, No 4, 563-586

Abstract: Abstract Multivariate adaptive regression spline (MARS) is a statistical modeling method used to represent a complex system. More recently, a version of MARS was modified to be piecewise linear. This paper presents a mixed integer linear program, called MARSOPT, that optimizes a non-convex piecewise linear MARS model subject to constraints that include both linear regression models and piecewise linear MARS models. MARSOPT is customized for an automotive crash safety system design problem for a major US automaker and solved using branch and bound. The solutions from MARSOPT are compared with those from customized genetic algorithms.

Keywords: Global optimization; Branch and bound; Surrogate methods; Multivariate adaptive regression splines; Crashworthiness; Genetic algorithms (search for similar items in EconPapers)
Date: 2017
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://link.springer.com/10.1007/s10898-016-0494-5 Abstract (text/html)
Access to the full text of the articles in this series is restricted.

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:jglopt:v:68:y:2017:i:3:d:10.1007_s10898-016-0494-5

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-016-0494-5

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().