%0 Journal Article
%T Classical Center Location Problem Under Uncertain Environment
%J International Journal of Industrial Mathematics
%I Science and Research Branch, Islamic Azad University, Tehran, Iran
Website: ijim.srbiau.ac.ir
Address: Science and Research Branch, Shohada Hesarak Blvd, Daneshgah Square, Sattari Highway, Tehran, Iran.
Email: ijim@srbiau.ac.ir
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%Z 2008-5621
%A Soltanpour, A.
%A Baroughi, F.
%A Alizadeh, B.
%D 2017
%\ 09/01/2017
%V 9
%N 4
%P 365-374
%! Classical Center Location Problem Under Uncertain Environment
%K Location Problem
%K $p$-center
%K uncertainty theory
%K Uncertain Programming
%R
%X This paper investigates the $p$-center location problem on a network in which vertex weights and distances between vertices are uncertain. The concepts of the $\alpha$-$p$-center and the expected $p$-center are introduced. It is shown that the $\alpha$-$p$-center and the expected $p$-center models can be transformed into corresponding deterministic models. Finally, linear time algorithms for finding the 1-center and \\2-center of uncertain unweighted trees are proposed.
%U https://ijim.srbiau.ac.ir/article_11916_b68eeb0311af294f42892c455f46b7e3.pdf