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This paper presents the application of GA for the task allocation in a non-homogeneous, multi-robotic environment. The problem considers deployment of such non-homogeneous robots for carrying out a set of desired tasks having their own space and time requirement. A model has been developed considering the environment, the system parameters and the robots' capabilities. A solution algorithm has been developed and implemented to obtain the results. The results show that the solution has improved over that obtained earlier using other methods.