Queues and Stores with Nonhomogeneous Input.

Abstract

It is shown that under a variety of circumstances, the presence of a periodic pattern of input is enough to insure that a quasi-limiting distribution of store content exists. For stores with nonhomogeneous compound Poisson input and general release rule a probabilistic approach is developed which allows equations to be written down easily for such quantities as the mean store content and the probability of an empty store. For at least some instances of the M(t)/M/1 queue it is shown that the approximations are very good. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1979
Accession Number
ADA069550

Entities

People

  • Donna Katzman Mcclish

Organizations

  • University of North Carolina at Chapel Hill

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Distribution Functions
  • Equations
  • Markov Chains
  • Markov Processes
  • Operations Research
  • Partial Differential Equations
  • Probability
  • Queueing Theory
  • Random Variables
  • Sequences
  • Statistics
  • Steady State
  • Step Functions
  • Stochastic Processes
  • Time Intervals

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics/Aeronautics.
  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.