Exact best-case response time analysis of real-time tasks under fixed-priority pre-emptive scheduling for arbitrary deadlines

In this paper, we present a conjecture for exact best-case response times of periodic released, independent real-time tasks with arbitrary deadlines that are scheduled by means of fixed-priority pre-emptive scheduling (FPPS). We illustrate the analysis by means of an example. Apart from having a value on its own whenever timing constraints include lower bounds on response times of a system to events, the novel analysis allows for an improvement of existing end-toend response time analysis in distributed systems, i.e. where the finalization of one task on a processor activates another task on another processor.