m bashiri - Department of Industrial Engineering, Shahed University, Tehran, Iran
m Rezanezhad - Department of Industrial Engineering, Shahed University, Tehran, Iran

In the facility location problem usually reducing total transferring cost and time are common objectives. In the p-hub covering problem it is attempted to locate hubs and allocate customers to established hubs while allocated nodes to hubs are inside of related hubs covering radius. In this paper,we attempt to consider capability of established hubs to achieve a more reliable network. Also, the proposed model try to construct a network with more covering reliability by determining operatingcovering radius inside of nominal radius. Then, a sensitivity analysis is performed to analyze effect ofparameters in the model. The proposed multi objective model is solved by ε-constraint algorithm for small size instances. For large scale instances a non-dominated sorting genetic algorithm (NSGA-II) ispresented to obtain Pareto solutions and its performance is compared with results of ε-constraintalgorithm. The model and solution algorithm were analyzed by more numerical examples such as Turkish network dataset. The sensitivity analysis confirms that the network extracted by the proposed model is more efficient than classic networks

P-hub Covering , Hub Capability , Reliability , Multi Objective