Classical Center Location Problem Under Uncertain Environment
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
A. Soltanpour‎‎
1
(
Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.
)
F. Baroughi‎‎
2
(
Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.
)
B. Alizadeh
3
(
Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, Iran.
)
کلید واژه: Location Problem, $p$-center, uncertainty theory, Uncertain Programming&, lrm, ,
چکیده مقاله :
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.
