Modeling and Analyzing Transient Military Air Traffic Control

Abstract

A theoretical application of transient queueing analysis is provided for military air traffic control. The exact distribution of the nth arriving or departing flight's sojourn time in an M/M/s queue with k flights initially present is reviewed. Algorithms previously developed for computing the covariance between sojourn times for an M/M/1 queue with k 0 flights present at time zero are provided and utilized. Maple computer code is utilized for practical applications in air traffic control of transient queue analysis for many system measures of performance without regard to traffic intensity (i.e., the system may be unstable with traffic intensity greater than one), thus negating the need for simulation.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 2010
Accession Number
ADA554279

Entities

People

  • John Drew
  • Lawrence Leemis
  • William Kaczynski

Organizations

  • United States Military Academy

Tags

Communities of Interest

  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Traffic
  • Algorithms
  • Applied Mathematics
  • Computers
  • Covariance
  • Intensity
  • Literature
  • Mathematics
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Simulations
  • Statistical Algorithms
  • Steady State
  • United States
  • United States Military Academy

Readers

  • Aviation Safety and Air Traffic Management
  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.