Critical facilities location problem considering principles of passive defense

In the area of critical and sensitive facilities location, on the one hand, adequate coverage can reduces injuries and damages caused by disasters and on the other hand, dispersion of critical facilities’ locations can decreases the probability of identification and destruction of the facilities. In this paper, a bi-objective model is presented for the location problem of critical facilities, in which the principals of passive defense are considered via the objective functions of the minimization of the uncovered demand and the maximization of the minimum distance between facilities. In the proposed model, it is assumed that each facility is identified and destructed based on a known probability. In addition, it is supposed that injuries (customers) can be served by those facilities located within a predefined coverage distance. Since the proposed problem is NP-hard, a bi-objective genetic algorithm is developed to solve large size real-world problems.