Fatemeh Akbari - Department of Industrial Engineering, Mazandaran University of Science and Technology, Babol
Iraj Mahdavi
Saber Shiripour
Saeed akbari - Department of Art and Architecture, Aliabad Katoul Branch, Islamic Azad University, Aliabad Katoul, Iran,

In this paper we consider the problem of locating one new facility with respect to a given set of existing facilities in the presence of an arc-shaped barrier. A barrier is considered a region where neither facility location nor travelling is allowable. The objective is to locate this single facility such that the sum of the rectilinear distances from the facility to the demand points is minimized. A mixed-integer nonlinear programming model is designed for the proposed problem.

Facility location problem, Arc shape barrier, rectilinear distance