Finite size scaling approach to dynamic storage allocation problem

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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9 pages, 4 figures, will apear in Physica A

Scientific paper

10.1016/S0378-4371(03)00509-0

It is demonstrated how dynamic storage allocation algorithms can be analyzed in terms of finite size scaling. The method is illustrated in the three simple cases of the it first-fit, next-fit and it best-fit algorithms, and the system works at full capacity. The analysis is done from two different points of view - running speed and employed memory. In both cases, and for all algorithms, it is shown that a simple scaling function exists and the relevant exponents are calculated. The method can be applied on similar problems as well.

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