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The Computer Journal 1987 30(3):201-213; doi:10.1093/comjnl/30.3.201
© 1987 by British Computer Society
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Chainmail: A Model of First-fit Memory Allocation

C. M. Reeves *

Department of Computer Science, The University, Keele, Staffs ST5 5BG, UK

First-fit memory allocation is most simply modelled as a Markov chain but with an unmanageably large state space. By exploiting the localisation of the effects upon the store of block reservation and release, a tractable model is derived for the stochastic equilibrium of memory configuration. The interactions between positions and sizes of blocks constitute a two-dimensional structure of equations giving rise to the name Chainmail. The greater analytical complexity of these equations is compensated for by a reduction in the computational complexity of their solution.

The model is validated by comparison with a number of simulation experiments using both left and right placement strategies.

Received November 1985.

* Department of Computer Science, The University, Keele, Staffs ST5 5BG


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