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In this paper, we present a Genetic Algorithm approach to solving the joint Internet gateway allocation, routing and scheduling problem in wireless ad hoc networks with the goal of minimizing the average packet delay in the network. We analyze the performance of the proposed Genetic Algorithm by means of simulations and compare the solution that it provides to a hop count based routing and gateway selection solution. We also investigate the benefits that can be achieved by optimizing only the allocation of Internet gateways or the routing. It is shown that the Genetic Algorithm provides significantly better performance in terms of delay and packet delivery ratio.