Parts and Service Demand Distribution Generated by Primary Production.

Abstract

Most commercial and military systems subject to failure have an initial period of growth with uncertain time dependent growth rate. Prediction of spare parts demand and service personnel demand is correspondingly uncertain and existant statistical tools are inadequate for the adaptive ad hoc planning needed. In our model, systems subject to failure enter into use at the epochs of a time-inhomogeneous Poisson process of rate lambda (t). A component or module of each system in use has constant failure rate microns and generates demand for parts and service. The distribution of the cumulative failures N(t) is obtained. Numerical methods and the asymptotic distribution for large t are described. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1982
Accession Number
ADA131497

Entities

People

  • Julian Keilson
  • Peter Kubat

Organizations

  • University of Rochester

Tags

Communities of Interest

  • Air Platforms
  • Human Systems
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Algorithms
  • Asymptotic Normality
  • Commercial Aircraft
  • Data Science
  • Information Science
  • Markov Chains
  • Markov Processes
  • Normality
  • Personality
  • Probability
  • Production
  • Random Variables
  • Spare Parts
  • Stochastic Processes

Readers

  • Industrial Economics
  • Statistical inference.
  • Systems Analysis and Design