Mass transportation and the consistency of the empirical optimal conditional locations
Florent Bonneu () and
Abdelaati Daouia ()
Annals of Operations Research, 2010, vol. 181, issue 1, 159-170
We consider the problem of finding the optimal locations of new facilities given the locations of existing facilities and clients. We analyze the general situation where the locations of existing facilities are deterministic while the locations of clients are stochastic with the same unknown marginal distribution. We show how this conditional location-allocation problem can be modeled as a variation of the standard Monge-Kantorovich mass transference problem. We provide a probabilistic formulation of the optimal locations of the new facilities and derive consistent estimators of these theoretical locations from a sample of identically distributed random clients. The integrity of our method is illustrated through some simulation experiments and a real case study. Copyright Springer Science+Business Media, LLC 2010
Keywords: Optimal location; Mass transportation; Estimation; Consistency (search for similar items in EconPapers)
References: View references in EconPapers View complete reference list from CitEc
Citations: Track citations by RSS feed
Downloads: (external link)
Access to full text is restricted to subscribers.
This item may be available elsewhere in EconPapers: Search for items with the same title.
Export reference: BibTeX
RIS (EndNote, ProCite, RefMan)
Persistent link: https://EconPapers.repec.org/RePEc:spr:annopr:v:181:y:2010:i:1:p:159-170:10.1007/s10479-010-0711-4
Ordering information: This journal article can be ordered from
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 ().