Partial interdiction median models for multi-sourcing supply systems

This paper comprehensively explores the partial interdiction median problem for multi-sourcing supply systems (PIM-MS) which has three characteristics: (1) limited capacity for each facility, (2) partial interdiction, and (3) a multi-sourcing delivery strategy for supply systems. PIM-MS is formulated as a bi-level programming model. The upper level involves assignment decisions for offensive resources of the attacker, which tries to maximize the operation cost increment after interdiction. The scheme of reallocating the remaining system resources is formulated in the lower-level problem. An empirical study is taken to verify the effectiveness of the heuristic model, and to observe the influences of new characteristics on the problem.