Markov Models of Multi-Echelon, Repairable-Item Inventory Systems

Abstract

Exact models of finite end-item population, finite repair capacity repairable-item systems are developed using Markov process analyses for both transient and steady state environments. Unlike most currently used multi- echelon models, the infinite population, infinite repair capacity restrictions are removed. Exponential failure and repair times are assumed and the system is modeled as a closed Markovian queuing network. In the transient case, the finite set of differential equations, and in the steady-state case, the finite set of difference equations, are solved by numerical techniques. The adequacy of these techniques for yielding solutions to practical systems is also discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 08, 1984
Accession Number
ADA145850

Entities

People

  • D. R. Miller
  • Dustin E. Gross
  • L. C. Kioussis
  • R. M. Soland

Organizations

  • George Washington University

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Difference Equations
  • Differential Equations
  • Engineering
  • Engineers
  • Equations
  • Industrial Engineering
  • Linear Differential Equations
  • Markov Chains
  • Markov Models
  • Markov Processes
  • Mathematical Models
  • Operations Research
  • Probability
  • Probability Distributions
  • Random Variables
  • Steady State
  • Systems Engineering

Readers

  • Calculus or Mathematical Analysis
  • Logistics and Supply Chain Management.
  • Statistical inference.