Probabilistic Treatment of Airlift Delivery

Abstract

Traditionally, a deterministic simulation is used to estimate airborne cargo and passenger delivery in wartime scenarios. Deterministic models address reliability by removing the number of non-mission capable aircraft from the total possessed numbers at the very beginning of the delivery process. Only mission capable (MC) aircraft, minus any special mission withholds, are used in the model. Most important, once an aircraft is deemed to be MC, it never fails anywhere along the delivery and return routes in the deterministic models. This has long been recognized to be a vulnerable feature of such models. How inaccurate is this? What problems can arise from its assumption? In this paper we present a set of equations that provide quantitative, rapid, but simple first-order observations on how uncertain the results from deterministic model runs can be, once stochastic critical part failures are incorporated in the analyses. In particular, we find that the standard deviation of delivery rates, a measure of the uncertainty in the expected results, can be substantial for particularly unreliable air transport aircraft such as the C-5A and even noticeable for the most reliable ones, such as the C-17. The simple results found here should serve as an incentive for further research into this important area.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2009
Accession Number
ADA508560

Entities

People

  • A. I. Kaufman
  • W. L. Greer

Organizations

  • Institute for Defense Analyses

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Air Mobility Operations
  • Air Transportation
  • Aircrafts
  • Applied Mathematics
  • Asymptotic Series
  • Commercial Aircraft
  • Distribution Functions
  • Equations
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Random Variables
  • Simulations
  • Transport Aircraft
  • Transportation
  • Transportation Infrastructure

Readers

  • Aerospace Engineering
  • Aerospace logistics and air mobility.
  • Computational Modeling and Simulation