Abstract

We define and analyse in this paper the concept of modified life time function. This concept is introduced in order to take into account both internal and external factors which influence the mean time between page faults of a program executing on a page-on-demand multiprogramming system. The analysis is based on a probabilistic model of a program paging activity during its execution. The intrinsic behaviour of the program in its adress space as well as the memory allotment and the swapping policy are considered in the model, and the interactions of these different factors are analysed. The results point out that the influence of the external factors on the life time function of a program is significant, and provide some insight on the non-convex shape of observed life time functions. Numerical illustrations are presented, and it is shown that the analysis can be used to quantify the performance of preloading policies.

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