A multiobjective continuous covering location model

This paper presents a multiobjective continuous covering location problem in fuzzy environment. Because of uncertain covering radius, possibility of covering concept is introduced.Since, the uncertainty may cause risk of uncovering customers; the problemis formulated as a risk management model. The presented model is an extension of the discrete covering location models tocontinuous space. Two variables, namely, selecting zone variable and covering variableare introduced for extending the discrete model to the continuous one. In the model, a facility is locatedin a zone with a predetermined radius from its center and is determined by the selecting zonevariable. Allocating a customer to a facility is shown by the covering variable. Also, the paperintroduces the possibility of covering based on distance between the customers and the facilities. Two objectives are considered in the model; the first is the possibility of covering by each facility and the second is the risk cost of the uncovered customers.Then, a fuzzy programming is applied for converting the model to a single objective one. Finally, a numerical examplewith sensitivity analysis is expressed to illustrate the presented model.