Cache partitioning techniques have been proposed in the past as a solution for the cache interference problem. Due to qualitative differences with general purpose platforms, real-time embedded systems need to minimize task real-time utilization (function of execution time and period) instead of only minimizing the number of cache misses. In this work, the partitioning problem is presented as an optimization problem whose solution sets the size of each cache partition and assigns tasks to partitions such that system worst-case utilization is minimized thus increasing real-time schedulability. Since the problem is NP-Hard, a genetic algorithm is presented to find a near optimal solution. A case study and experiments show that in a typical real-time embedded system, the proposed algorithm is able to reduce the worst-case utilization by 15% (on average) if compared to the case when the system uses a shared cache or a proportional cache partitioned environment.