The Covariance Structure of the Departure Process: GI/M/1 and M/G/1 Queues.

Abstract

Formulae, suitable for computation, for the lag n autocorrelation of departure intervals in the GI/M/1 queues are developed for n=1 to 6. A generating function, comparable to the one known for the M/G/1 case, is found for GI/M/1. For the E sub k M/1 and M/E sub k/1 queues, expressions for arbitrary lag are given. Tables and the APL functions used to produce them are provided for E sub k/M/1, H/M/1, and M/E sub k/1. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1977
Accession Number
ADA048075

Entities

People

  • Nancy Gustafson

Organizations

  • University of North Carolina at Chapel Hill

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Autocorrelation
  • Coefficients
  • Computations
  • Covariance
  • Data Science
  • Distribution Functions
  • Equations
  • Information Science
  • Intensity
  • Intervals
  • Military Research
  • North Carolina
  • Notation
  • Queueing Theory
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.