Note that if a transaction is short then it is not going to require a substantial amount of system’s resources and it should be given scheduling preference. We argue that in order to increase the system’s throughput, then we must speedup the execution of all short transactions. Based on such an observation we propose scaling w down by C. However, since C might involve a certain degree of imprecision, then such imprecision must be utilized when considering C. Thus, define W(t) to be a weighted aging factor at time t such that: