A new model for single facility location based on service level

Abstract

This paper studies a new continuous single facility location problem. In this problem the locations of the customers (or the previously located facilities) vary, randomly, and the objective is to locate a new facility so as to maximise the mean service level considered to be the mean number of the customers whose distances from the new facility are smaller than a predefined desirable distance. The problem is formulated, and then an approximate solution method is presented to solve the problem. Also, we apply our results to locate the capital of Iran as a case study.