The designing of reliable facility location is an important way to evade against unexpected facility disruptions. In this paper, a facility allocation for distribution supply chain is designed that intend to achieve the effectiveness of system under site dependent facility disruptions. The proposed mixed integer model is implemented in commercial optimization solver CPLEX 12.6.3. The Lagrangian relaxation approach is used to solve the model. It is compared with CPLEX solver on randomly generated twenty test instances. The performance gap and computational time is used to measure the performance of proposed model. The experimental results reveal that the proposed model has capability to generate an optimal solution. (C) 2017 The Authors. Published by Elsevier B.V. Peer-review under responsibility of the scientific committee of the 7th International Conference on Advances in Computing & Communications.