Location theory on networks is concerned with the problem of selecting the best location in a specified network for facilities. In networks, the distance is an important measure to quantify how strongly related two vertices are. Mereover, the capacity between two vertices is also an important measure. In this paper, we define the location problems called the p-center problem, the r-cover problem and the p-median problem on undirected flow networks. We propose polynomial time algorithms to solve these problems.
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Hiroshi TAMURA, Masakazu SENGOKU, Shoji SHINODA, Takeo ABE, "Location Problems on Undirected Flow Networks" in IEICE TRANSACTIONS on transactions,
vol. E73-E, no. 12, pp. 1989-1993, December 1990, doi: .
Abstract: Location theory on networks is concerned with the problem of selecting the best location in a specified network for facilities. In networks, the distance is an important measure to quantify how strongly related two vertices are. Mereover, the capacity between two vertices is also an important measure. In this paper, we define the location problems called the p-center problem, the r-cover problem and the p-median problem on undirected flow networks. We propose polynomial time algorithms to solve these problems.
URL: https://global.ieice.org/en_transactions/transactions/10.1587/e73-e_12_1989/_p
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@ARTICLE{e73-e_12_1989,
author={Hiroshi TAMURA, Masakazu SENGOKU, Shoji SHINODA, Takeo ABE, },
journal={IEICE TRANSACTIONS on transactions},
title={Location Problems on Undirected Flow Networks},
year={1990},
volume={E73-E},
number={12},
pages={1989-1993},
abstract={Location theory on networks is concerned with the problem of selecting the best location in a specified network for facilities. In networks, the distance is an important measure to quantify how strongly related two vertices are. Mereover, the capacity between two vertices is also an important measure. In this paper, we define the location problems called the p-center problem, the r-cover problem and the p-median problem on undirected flow networks. We propose polynomial time algorithms to solve these problems.},
keywords={},
doi={},
ISSN={},
month={December},}
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TY - JOUR
TI - Location Problems on Undirected Flow Networks
T2 - IEICE TRANSACTIONS on transactions
SP - 1989
EP - 1993
AU - Hiroshi TAMURA
AU - Masakazu SENGOKU
AU - Shoji SHINODA
AU - Takeo ABE
PY - 1990
DO -
JO - IEICE TRANSACTIONS on transactions
SN -
VL - E73-E
IS - 12
JA - IEICE TRANSACTIONS on transactions
Y1 - December 1990
AB - Location theory on networks is concerned with the problem of selecting the best location in a specified network for facilities. In networks, the distance is an important measure to quantify how strongly related two vertices are. Mereover, the capacity between two vertices is also an important measure. In this paper, we define the location problems called the p-center problem, the r-cover problem and the p-median problem on undirected flow networks. We propose polynomial time algorithms to solve these problems.
ER -