Self-Organizing Files (UMAP)
Author: Kin Lam, Ming-Ying Leung, and Man-Keung Siu
This module applies linear algebra to computer science. Students will become familiar with probabilistic modelling of an actual problem encountered in a field of application, become acquainted with an important problem in file organization, and reinforce their learning of the topic of Markov chains.
Table of Contents:
1. SELF-ORGANIZING FILES
1.1 The Problem
1.2 The Move-to-Front Scheme
1.3 The Transposition Scheme
2. APPLICATION OF MARKOV CHAINS TO SELF-ORGANIZING FILES
2.1 Stationary Distribution for a Scheme
2.2 Transposition is Better Than Move-to-Front
2.3 Historical Notes
3. REFERENCES
4. ANSWERS TO EXERCISES
5. SKETCH OF SOLUTIONS TO EXERCISES
Mathematics Topics:
Application Areas:
Prerequisites:
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