The α-cost minimization model for capacitated facility location-allocation problem with uncertain demands

Facility location-allocation (FLA) problem, which has been proved to be a valuable method in siting service facility, is widely used in real life, such as emergency service systems, telecommunication networks, public services, etc. However, in real-world situations, the decision maker often lack the information about the customers’ demands, which leads to the FLA problem in uncertain environment. Within the framework of uncertainty theory, this paper investigates the uncertain FLA problem. Due to the uncertain cost function, we introduce the optimistic criterion and establish the α-cost minimization model under uncertain environment. In order to simplify the uncertain model, we will give its equivalent crisp model and design a hybrid intelligent algorithm to compute it. Finally, a numerical example is presented to illustrate the uncertain model and the algorithm.