Title
On the convergence of the generalized Weiszfeld algorithm
Abstract
In this paper we consider Weber-like location problems. The objective function is a sum of terms, each a function of the Euclidean distance from a demand point. We prove that a Weiszfeld-like iterative procedure for the solution of such problems converges to a local minimum (or a saddle point) when three conditions are met. Many location problems can be solved by the generalized Weiszfeld algorithm. There are many problem instances for which convergence is observed empirically. The proof in this paper shows that many of these algorithms indeed converge.
Year
DOI
Venue
2009
10.1007/s10479-008-0336-z
Annals OR
Keywords
Field
DocType
Location,Weber problem,Weiszfeld
Convergence (routing),Discrete mathematics,Mathematical optimization,Saddle point,Euclidean distance,Algorithm,Weber problem,Mathematics
Journal
Volume
Issue
ISSN
167
1
0254-5330
Citations 
PageRank 
References 
7
0.55
6
Authors
1
Name
Order
Citations
PageRank
Zvi Drezner11195140.69