Buffer Engineering for M/G/infinity Input Processes

Abstract

We suggest the M/G/infinity input process as a viable model for representing the heavy correlations observed in network traffic. Originally introduced by Cox, this model represents the busy?server process of an M/G/infinity with Poisson inputs and general service times distributed according to G, and provides a large and versatile class of traffic models. We examine various properties of the M/G/infinity process, focusing particularly on its rich correlation structure. The process is shown to effectively portray short or long-range dependence simply by controlling the tail of the distribution G. In an effort to understand the dynamics of a system supporting M/G/infinity traffic, we study the large butter asymptotics of a multiplexer driven by an M/G/infinity input process.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2000
Accession Number
ADA439728

Entities

People

  • Minothi Parulekar

Organizations

  • University of Maryland

Tags

Communities of Interest

  • C4I
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Boundaries
  • Convergence
  • Covariance
  • Data Science
  • Electrical Engineering
  • Engineering
  • Equations
  • Ergodic Processes
  • Networks
  • Probability
  • Random Variables
  • Real Numbers
  • Simulations
  • Standards
  • Stationary Processes
  • Steady State
  • Theses

Readers

  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.
  • Strategic Security Studies