Extension of the Weiszfeld procedure to a single facility minisum location model with mixed ℓ p norms

Jack Brimberg (), Robert Love and Nenad Mladenović ()

Mathematical Methods of Operations Research, 2009, vol. 70, issue 2, 269-283

Abstract: This paper presents a general mixed-norm minisum problem for locating a single facility in continuous space. It is assumed that several transportation modes exist between the new facility and a given set of fixed points (the customers), each mode being represented by a different ℓ p norm. A simple extension of Weiszfeld’s well known iterative procedure is proposed to solve the model. Convergence properties and optimality criteria are derived, and computational results are given. Copyright Springer-Verlag 2009

Keywords: Weiszfeld procedure; Mixed norms (search for similar items in EconPapers)
Date: 2009
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://hdl.handle.net/10.1007/s00186-008-0268-z (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:mathme:v:70:y:2009:i:2:p:269-283

Ordering information: This journal article can be ordered from
http://www.springer.com/economics/journal/00186

DOI: 10.1007/s00186-008-0268-z

Access Statistics for this article

Mathematical Methods of Operations Research is currently edited by Oliver Stein

More articles in Mathematical Methods of Operations Research from Springer, Gesellschaft für Operations Research (GOR), Nederlands Genootschap voor Besliskunde (NGB)
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().