Spares Provisioning for a Heterogeneous Population,

Abstract

The classic machine repair with spares queueing model can be used for determining the number of repair channels and spares inventory level when the population is homogeneous (all units identical). This paper develops a procedure for treating nonhomogeneous populations, specifically, a population with two types of items, each with exponential failure and repair times but with different mean values. Exact solutions are obtained for small population sizes and compared to an approximate procedure using the classical theory. The exact model is essentially a two-stage cyclic queue with two classes of customers and the extension to N stages and M customers is described. A priority discipline is also incorporated into the model and extension to other disciplines, including blocking, is discussed. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 16, 1978
Accession Number
ADA058692

Entities

People

  • Donald Gross
  • John F. Ince

Organizations

  • George Washington University

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Air Force
  • Computer Programs
  • Computers
  • Core Storage
  • Engineering
  • Equations
  • Flow Rate
  • Markov Processes
  • Mass Storage
  • Military Research
  • National Security
  • New York
  • Probability
  • Probability Distributions
  • Security
  • Steady State

Fields of Study

  • Mathematics

Readers

  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.
  • Regression Analysis.