University of Guilan Computational Sciences and Engineering 2783-2503 1 1 2021 04 01 Conic Optimization Reformulation for the Continuous Center Location Problem under Uncertainty 79 89 4729 10.22124/cse.2021.19401.1009 EN Ali Jamalian Department of Computer science, Faculty of Mathematical sciences, University of Guilan, Rasht, Iran 0000-0001-6237-3118 Journal Article 2021 04 17 In this paper, we consider the Euclidean continuous minimax location problem under uncertainty. We consider the single-facility and the multi-facility case with uncertain location of demand points and uncertain transportation costs. We study these two problems under two kinds of uncertainty, the interval and the ellipsoidal uncertainty. Equivalent formulations of robust counterparts of the single facility and multi facility Euclidean continuous minimax location problems under interval and<br />ellipsoidal uncertainty are given as conic optimization<br />problems. https://cse.guilan.ac.ir/article_4729_79ee80f4cd6cfeebe2049a7b55ce5717.pdf