Presentation 2020-03-01
Minmax regret 1-sink problem with parametric weights
Yuki Tokuni, Noaki Katoh, Junichi Teruyama, Yuya Higashikawa, Tetsuya Fujie,
PDF Download Page PDF download Page Link
Abstract(in Japanese) (See Japanese page)
Abstract(in English) This paper addresses the minmax regret 1-sink problem in dynamic path networks with parametric weights. A dynamic path network consists of an undirected path with positive edge lengths and edge capacities, and vertex weights given as positive functions in one parameter. For a sink location $x$ and a parameter value $t$, the location cost of $x$ under $t$ is defined as the sum of evacuation time to $x$ for all the evacuees under $t$. The regret of $x$ under $t$ is defined as the difference of the location cost of $x$ under $t$ from the optimal location cost under $t$. Our aim is to find a sink location $x^{*}$ which minimizes the maximum regret of $x$ over any possible $t$. In this paper, we present the first polynomial time algorithm for the problem.
Keyword(in Japanese) (See Japanese page)
Keyword(in English) minimax regret / facility location problem / polynomial time algorithm
Paper # COMP2019-51
Date of Issue 2020-02-23 (COMP)

Conference Information
Committee COMP
Conference Date 2020/3/1(1days)
Place (in Japanese) (See Japanese page)
Place (in English) The University of Electro-Communications
Topics (in Japanese) (See Japanese page)
Topics (in English)
Chair Toshihiro Fujito(Toyohashi Univ. of Tech.)
Vice Chair Shinichi Nakano(Gunma Univ.)
Secretary Shinichi Nakano(Kumamoto Univ)
Assistant Kazuhisa Seto(Seikei Univ.)

Paper Information
Registration To Technical Committee on Theoretical Foundations of Computing
Language JPN
Title (in Japanese) (See Japanese page)
Sub Title (in Japanese) (See Japanese page)
Title (in English) Minmax regret 1-sink problem with parametric weights
Sub Title (in English)
Keyword(1) minimax regret
Keyword(2) facility location problem
Keyword(3) polynomial time algorithm
1st Author's Name Yuki Tokuni
1st Author's Affiliation Kwansei Gakuin University(Kwansei Gakuin Univ.)
2nd Author's Name Noaki Katoh
2nd Author's Affiliation University of Hyogo(Univ. of Hyogo)
3rd Author's Name Junichi Teruyama
3rd Author's Affiliation University of Hyogo(Univ. of Hyogo)
4th Author's Name Yuya Higashikawa
4th Author's Affiliation University of Hyogo(Univ. of Hyogo)
5th Author's Name Tetsuya Fujie
5th Author's Affiliation University of Hyogo(Univ. of Hyogo)
Date 2020-03-01
Paper # COMP2019-51
Volume (vol) vol.119
Number (no) COMP-433
Page pp.pp.35-41(COMP),
#Pages 7
Date of Issue 2020-02-23 (COMP)