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The available literature for facility interdiction problems is separately modeled by the two r-interdiction covering and median approaches. In this paper, a tri-level defense facility location model for full coverage in r-interdiction median problem is addressed which considers both modeling approaches, simultaneously. The purpose of this model is to design a proper service system in a way that after a worst case scenario of disturbance, it can utilize its full capacity of providing services. In this regard, we have considered the defense facilities to provide extra protection for service facilities and the purpose is to optimally locate these facilities. The tri-level model is proposed based on leader-follower games as defender-attacker-defender framework. In order to solve the model, three approaches have been used. In the first approach (EX-EX-EX), explicit enumeration method is used for the first and second levels and an …