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IEICE TRANSACTIONS on Fundamentals

Some Covering Problems in Location Theory on Flow Networks

Hiroshi TAMURA, Masakazu SENGOKU, Shoji SHINODA, Takeo ABE

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Summary :

Location theory on networks is concerned with the problem of selecting the best location in a specified network for facilities. Many studies for the theory have been done. However, few studies treat location problems on networks from the standpoint of measuring the closeness between two vertices by the capacity (maximum flow value) between two vertices. This paper concerns location problems, called covering problems on flow networks. We define two types of covering problems on flow networks. We show that covering problems on undirected flow networks and a covering problem on directed flow networks are solved in polynomial times.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E75-A No.6 pp.678-684
Publication Date
1992/06/25
Publicized
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DOI
Type of Manuscript
Special Section PAPER (Special Section of Papers Selected from 1991 Joint Technical Conference on Circuits/Systems, Computers and Communications (JTC-CSCC '91))
Category
Combinational/Numerical/Graphic Algorithms

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