Presentation 2011/11/10
On a uniform allocation problem of stations to vertices in a graph
Masahiro NAWATA, Norihiko SHINOMIYA,
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Abstract(in English) Generally, p-center problem and p-median problem are known as an emergency or a public facility allocation problem on a city network or a spatial network. Both problems are regarded as what optimize a relation between a specific vertex and a general vertex on a graph. This paper focuses on a problem which deals with not such a relation, but a relation between two specific vertices. In particular, the problem involves a uniform allocation of stations in a graph. Distance between specific vertices is the main factor for allocating stations uniformly. This paper formulates a deviation of the distance, and proposes a method optimizing the deviation. Beside, our comparative evaluation shows that the solution of general problems can't contribute to optimize the deviation.
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Keyword(in English) Graph theory / Combinatorial optimization / p-center problem / p-median problem
Paper # MSS2011-43,CAS2011-74
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Committee MSS
Conference Date 2011/11/10(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) On a uniform allocation problem of stations to vertices in a graph
Sub Title (in English)
Keyword(1) Graph theory
Keyword(2) Combinatorial optimization
Keyword(3) p-center problem
Keyword(4) p-median problem
1st Author's Name Masahiro NAWATA
1st Author's Affiliation Graduate School of Engineering, Soka University()
2nd Author's Name Norihiko SHINOMIYA
2nd Author's Affiliation Faculty of Engineering, Soka University
Date 2011/11/10
Paper # MSS2011-43,CAS2011-74
Volume (vol) vol.111
Number (no) 294
Page pp.pp.-
#Pages 5
Date of Issue