Many sources of risk a ect network elements, which may lead to network failure; thus, planners need to consider them in the network design. One of the most important strategies for disruption risk management is the static resilience. In this strategy, the network functionality is maintained after the disruption event by the prevention and hardening actions. In this paper, a resilient capacitated xed-charge location-allocation model is proposed. Both facility hardening and equipping of the network with backup facilities for disrupted elements are considered together to avoid supply network failure due to random disruption. Facilities are decided to be hardened in multiple levels before disruption events. The problem is formulated as a non-linear integer programming model; then, its equivalent linear form is presented. A Lagrangian Decomposition Algorithm (LDA) is developed to solve large-scale instances. Computational results con rm the high e cacy of the proposed solution approach, compared to classical solution approaches, in dealing with large-scale problems. Moreover, the superiority of the proposed model is con rmed in comparison to the classical models.

A good facility layout plays an important role on increasing the profitability of a production unit. A good location needs to meet different criteria such as the distance between the plants and the places to reach raw materials, customers, etc. In this paper, we proposed a multi criteria decision making problem to locate a suitable dairy plant. We assume that all factors influencing the plant involves uncertainty and proposed fuzzy numbers to handle the uncertainty associated with all input parameters. We apply the method for a real-world case study of dairy production unit and analyze the results of our proposed model.