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The duration of time for which each application locks each shared resource is critically important in composing multiple independently-developed applications upon a shared "open" platform. In a companion paper, we formally defined and studied the concept of resource hold time (RHT) - the largest length of time that may elapse between the instant that an application system locks a resource and the instant that it subsequently releases the resource. We extend the discussion and results from to systems scheduled using static-priority scheduling algorithms, with resource access arbitrated using stack resource policy (SRP), or priority ceiling protocol (PCP). We present a method to compute resource hold times for every resource, and an algorithm to decrease them without changing the semantics of the application or compromising application feasibility.