Title:

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

Subtitle:

Raport Badawczy = Research Report ; RB/48/2015

Creator:

Owsiński, Jan Wojciech

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2015

Description:

[20] pages ; 21 cm ; Bibliography p. [19-20]

Subject and Keywords:

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

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

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2015-48

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open