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Optimization techniques for improving the average-case execution time of an application, for which predictability with respect to time is not required, have been investigated for a long time in many different contexts. However, this has traditionally been done without paying attention to the worst-case execution time. For predictable real-time applications, on the other hand, the focus has been solely on worst-case execution time optimization, ignoring how this affects the execution time in the average case. In this paper, we show that having a good average-case delay can be important also for real-time applications for which predictability is required. Furthermore, for real-time applications running on multiprocessor systems-on-chip, we present a technique for optimizing the average case and the worst case simultaneously, allowing for a good average-case execution time while still keeping the worst case as small as possible.