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Fax:+98(44)32722660International Journal of Industrial Mathematics2008-56219420170901Classical Center Location Problem Under Uncertain Environment36537411916ENA.SoltanpourDepartment of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.F.BaroughiDepartment of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.B.AlizadehDepartment of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.Journal Article20180421<em>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. </em>https://ijim.srbiau.ac.ir/article_11916_b68eeb0311af294f42892c455f46b7e3.pdf