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The hypercube is a well-known descriptive model for planning server-tocustomer systems. In the present study we adapt this model to analyze Emergency Medical Systems on highways involving partial backup and multiple dispatching of ambulances. The modified model is then embedded into a genetic algorithm to optimize the configuration and operation of the system. By embedding the hypercube into a genetic algorithm, we can support decisions, such as, determining the optimal districts for the system in order to optimize the mean performance measures. Computational results are analyzed applying the approach to the case study of an EMS operating on Brazilian highways.