Stochastic Flows in Networks

Abstract

This report summarizes research accomplishments on stochastic flows in networks. The highlight is a new family of probability distributions for describing the numbers of units at the nodes in partially balanced stochastic networks. Such a distribution is a key tool for evaluating the performance and design of a network. Another major accomplishment is the solution of a long- standing problem of finding an expression for the mean time for one unit to move from one sector of a network to another sector. We also developed several models for concurrent movement of units in networks and batch processing at nodes. Keywords: Ergodics; Mathematical programming; Probability distribution.

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Document Details

Document Type
Technical Report
Publication Date
Jun 15, 1989
Accession Number
ADA211209

Entities

People

  • Richard F. Serfozo

Organizations

  • Georgia Tech

Tags

DTIC Thesaurus Topics

  • Batch Processing
  • Computer Networks
  • Computers
  • Congestion
  • Digital Information
  • Engineering
  • Markov Processes
  • Mathematical Programming
  • Networks
  • Operations Research
  • Probability
  • Probability Distributions
  • Queueing Theory
  • Random Variables
  • Stochastic Processes
  • Systems Engineering
  • Transitions

Readers

  • Mathematical Modeling and Probability Theory.
  • Operations Research
  • Systems Analysis and Design