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On Serial Files with Relocatable Records

Author

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  • John McCabe

    (General Electric Company, Bethesda, Maryland)

Abstract

A serial file is considered in which, after a query is processed, the order in the file is changed by moving the record to which the query referred into the first place in the file. The theory of regular Markov chains is used to demonstrate the existence of E ( X ) and to show that the law of large numbers holds, where E ( X ) is the limiting average position of a queried record. A closed-form expression for E ( X ) is determined. A second method of relocation is proposed, in which the queried record exchanges positions with the record immediately before it in the file. It is conjectured that this method of relocation is at least as good as the first method. It is pointed out that, whichever method of relocation is used, if one only relocated after every M th query, the limiting average position of a queried record is the same as it is if we relocate after every query.

Suggested Citation

  • John McCabe, 1965. "On Serial Files with Relocatable Records," Operations Research, INFORMS, vol. 13(4), pages 609-618, August.
    • Handle: RePEc:inm:oropre:v:13:y:1965:i:4:p:609-618
    DOI: 10.1287/opre.13.4.609
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    Cited by:

    1. Gerhard Hasslinger & Konstantinos Ntougias & Frank Hasslinger & Oliver Hohlfeld, 2023. "Scope and Accuracy of Analytic and Approximate Results for FIFO, Clock-Based and LRU Caching Performance," Future Internet, MDPI, vol. 15(3), pages 1-17, February.
    2. Ryo Hirade & Takayuki Osogami, 2010. "Analysis of Page Replacement Policies in the Fluid Limit," Operations Research, INFORMS, vol. 58(4-part-1), pages 971-984, August.
    3. Leisen, Fabrizio & Lijoi, Antonio & Paroissin, Christian, 2011. "Limiting behavior of the search cost distribution for the move-to-front rule in the stable case," Statistics & Probability Letters, Elsevier, vol. 81(12), pages 1827-1832.

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