Evacuation of a Yule Process with Immigration

Abstract

A correspondence is obtained between the epochs of a Yule process and orders statistics from an exponential distribution. This correspondence is used to obtain some properties of the Yule process, which are in turn used to solve an optimatization problem. This problem involves the finding of an optimal evacuation time under a model in which individuals arrive to a contaminated area according to a Yule process with immigration.

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Document Details

Document Type
Technical Report
Publication Date
Apr 29, 1974
Accession Number
AD0779290

Entities

People

  • Mark O. Brown
  • Richard Shorrock
  • Sheldon Ross

Organizations

  • George Washington University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Abstracts
  • Commerce
  • Contracts
  • Evacuation
  • Governments
  • Immigrants
  • Immigration
  • Military Research
  • Order Statistics
  • Probability
  • Random Variables
  • Statistics
  • Stochastic Processes
  • United States
  • United States Government
  • Universities

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.