THE NUMBER OF MESSAGES THAT CAN BE STORED ON A DRUM

Abstract

Messages arriving at a store-and-forward switch are stored in a drum. Each message stored takes up a number of blocks of drum storage that depends on the message length in characters. It is assumed in the report that the arriving messages are drawn at random from a message population; thus the number, say N, of messages that fill the drum is a random variable. It is shown, by means of renewal theory, that the distribution of N is approximately a normal distribution whose mean and variance are simple functions of the drum size and the parameters of the message population. Illustrative examples are given.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0698762

Entities

People

  • D. F. Votaw Jr.
  • R. A. Gildea

Organizations

  • MITRE Corporation

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  • Materials and Manufacturing Processes

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Fields of Study

  • Mathematics

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  • Computer Networking
  • Computer Science/Computer Engineering/Data Science/Digital Signal Processing.
  • Regression Analysis.