The bi-partial versions of the K-means algorithm and their potential applications to the generic facility location problem

Owsiński, Jan Wojciech

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Title: The bi-partial versions of the K-means algorithm and their potential applications to the generic facility location problem

Abstract:

The present report constitutes a continuation to the initial study of the bi-partial version of the well known original p-median or p center facility location problem. The bipartial approach, developed by the author, primarily to deal with the clustering problems, is shown here to work for a problem that does not, in principle, possess some of the essential properties, inherent to the bi-partial formulations. It is shown that the general objective function of the problem considered, can be correctly interpreted in terms of the bi-partial approach, that it in fact possesses the essential properties that are at the core of the bi-partial approach, and, finally, that the general algorithmic precepts of the bi partial approach can also be effectively applied to this problem. In this particular case, the precepts of the classical k-means procedure are referred to. The effectiveness of the proposal is shown for certain variants of the problem, with the bipartial counterparts appropriately defined.

Relation:

Raport Badawczy = Research Report

Detailed Resource Type:

Raport

Resource Identifier:

oai:rcin.org.pl:103511

Source:

RB-2015-48

Language:

eng

Language of abstract:

eng

Rights:

Licencja Creative Commons Uznanie autorstwa 4.0

Terms of use:

Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -

Digitizing institution:

Instytut Badań Systemowych Polskiej Akademii Nauk

Original in:

Biblioteka Instytutu Badań Systemowych PAN

Projects co-financed by:

Program Operacyjny Polska Cyfrowa, lata 2014-2020, Działanie 2.3 : Cyfrowa dostępność i użyteczność sektora publicznego; środki z Europejskiego Funduszu Rozwoju Regionalnego oraz współfinansowania krajowego z budżetu państwa

Access:

Otwarty

Subject and keywords:

Clustering Grupowanie Facility location P-median P-center Bi-partial approach Lokalizacja obiektu P-mediana P-centrum Podejście dwuskładnikowe

Object collections:

Last modified:

Oct 19, 2021

In our library since:

Jan 14, 2020

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All available object's versions:

https://rcin.org.pl./publication/112764

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Raporty Badawcze

Edition name	Date
RB-2015-48 : Owsiński Jan : The bi-partial versions of the k-means algorithmand their potential applications to the generic facility location problem	Oct 19, 2021