Classical Center Location Problem Under Uncertain Environment

Document Type : Research Paper

Authors

1 Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, ‎Iran.‎

2 Department of Applied Mathematics, Faculty of Basic Sciences, Sahand University of Technology, Tabriz, ‎Iran.

Abstract

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.‎

Keywords

International Journal of Industrial Mathematics
Volume 9, Issue 4
September 2017
Pages 365-374

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