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Uncertainty is an important feature in the emergency incident management. The emergency event may happen at anytime and anyplace. Based on Laplace criterion, it is supposed that the probabilities of emergency events occurring at any point of the way are the same. Emergency vehicles deal with the emergency events through the road network. Emergency vehicle location models aiming to a maximum coverage of the target, and demand at any point in the road network are established. According to the characteristics of the design model, the integration of genetic algorithm and tabu search for solving the problem is improved. Finally, a numerical example illustrates the affectivity of the model and algorithm, which can be used in the location of the ambulance and police wagon.