The Inverse 1-Median Problem on Tree Networks with Variable Real Edge Lengths

Joint Authors

Zhang, Jianhua
Wu, Longshu
Lee, Joonwhoan
Wang, Qin

Source

Mathematical Problems in Engineering

Issue

Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2013-04-16

Country of Publication

Egypt

No. of Pages

6

Main Subjects

Civil Engineering

Abstract EN

Location problems exist in the real world and they mainly deal with finding optimal locations for facilities in a network, such as net servers, hospitals, and shopping centers.

The inverse location problem is also often met in practice and has been intensively investigated in the literature.

As a typical inverse location problem, the inverse 1-median problem on tree networks with variable real edge lengths is discussed in this paper, which is to modify the edge lengths at minimum total cost such that a given vertex becomes a 1-median of the tree network with respect to the new edge lengths.

First, this problem is shown to be solvable in linear time with variable nonnegative edge lengths.

For the case when negative edge lengths are allowable, the NP-hardness is proved under Hamming distance, and strongly polynomial time algorithms are presented under l1 and l∞ norms, respectively.

American Psychological Association (APA)

Wu, Longshu& Lee, Joonwhoan& Zhang, Jianhua& Wang, Qin. 2013. The Inverse 1-Median Problem on Tree Networks with Variable Real Edge Lengths. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1031797

Modern Language Association (MLA)

Wu, Longshu…[et al.]. The Inverse 1-Median Problem on Tree Networks with Variable Real Edge Lengths. Mathematical Problems in Engineering No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-1031797

American Medical Association (AMA)

Wu, Longshu& Lee, Joonwhoan& Zhang, Jianhua& Wang, Qin. The Inverse 1-Median Problem on Tree Networks with Variable Real Edge Lengths. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-1031797

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1031797