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Acta Applicandae Mathematica

, Volume 5, Issue 1, pp 27–36 | Cite as

The generalized Banach match-box problem: Application in disc storage management

  • Krzysztof Goczyla
Article

Abstract

A computer system manages disc storage of finite capacity c blocks. This storage must be divided among N files in such a way that the expected number of disc accesses accomplished until the necessary reorganization is maximized. Each access to the disc appends a record of a fixed length to the ith file with probability pi (i=1,h., N). The reorganization is needed when the chosen file has run out of space. It is shown that the above problem is a generalization of Banach's match-box problem known from the probability theory. A detailed separate analysis for the N=2 case and for the multivariate case is performed and some approximate results for large c are given.

AMS (MOS) subject classifications (1980)

60C05 68B15 

Key words

Serial file system De Moivre-Laplace theorem probabilistic criterion optimal allocation 

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Copyright information

© D. Reidel Publishing Company 1986

Authors and Affiliations

  • Krzysztof Goczyla
    • 1
  1. 1.Institute of Computer Science, Politechnika GdańskaGdańskPoland

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