Mathematical modelling of facility location problems with link disruptions and network design: a case study

The unexpected disruption failures in transportation network systems are one of the most typical problems in the real practical environments. Proposing a robust designed facility location for these situations is one of the most effective ways to hedge against them. This paper studies the combined budget constrained facility location/network design problem with respect to transportation link disruptions and proposes a mixed integer linear programming formulation to model it. Regarding to the probability of link disruptions, the objective function of the proposed model minimizes the total expected transportation costs. Moreover, a practical case study is presented in detail to illustrate the application of the proposed mathematical model. Finally, a sensitivity analysis is done to provide an insight into the behavior of the proposed model in response to changes of key parameters of the problem.