A BSSS Algorithm for the Location Problem with Minimum Square Error

Joint Authors

Zaferanieh, Mehdi
Nezakati, Ahmad
Fathali, Jafar

Source

Advances in Operations Research

Issue

Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-10, 10 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2009-12-31

Country of Publication

Egypt

No. of Pages

10

Main Subjects

Information Technology and Computer Science

Abstract EN

Let n weighted points be given in the plane R2.

For each point a radius is given which is the expected ideal distance from this point to a new facility.

We want to find the location of a new facility such that the sum of the weighted errors between the existing points and this new facility is minimized.

This is in fact a nonconvex optimization problem.

We show that the optimal solution lies in an extended rectangular hull of the existing points.

Based on this finding then an efficient big square small square (BSSS) procedure is proposed.

American Psychological Association (APA)

Fathali, Jafar& Zaferanieh, Mehdi& Nezakati, Ahmad. 2009. A BSSS Algorithm for the Location Problem with Minimum Square Error. Advances in Operations Research،Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-454893

Modern Language Association (MLA)

Fathali, Jafar…[et al.]. A BSSS Algorithm for the Location Problem with Minimum Square Error. Advances in Operations Research No. 2009 (2009), pp.1-10.
https://search.emarefa.net/detail/BIM-454893

American Medical Association (AMA)

Fathali, Jafar& Zaferanieh, Mehdi& Nezakati, Ahmad. A BSSS Algorithm for the Location Problem with Minimum Square Error. Advances in Operations Research. 2009. Vol. 2009, no. 2009, pp.1-10.
https://search.emarefa.net/detail/BIM-454893

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-454893