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
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