A model for allocating protection resources in military logistics distribution system based on maximal covering problem

In order to enhance the supporting capacity of military logistics distribution system under attack, according to its characteristic multiple covering, a model was designed for allocating limited protection resources to q of p existing facilities. The model was formulated in a bilevel programming, whose upper level maximized the extent of protected facilities covering customers when enemy destroyed r unprotected facilities, which was expressed in lower level programming. Based on the feature in the decision making, implicit enumeration algorithm was adopted to get optimal solution to the model. Numerical example shows that an optimal allocation plan found with the model can maximize the supporting capacity of military logistics distribution system when enemy attack the system.