Models of a Service System for Production Machine Maintenance

Abstract

The machine repair and adjustment process is one of the elements which characterizes the operations of a production system. In many cases this maintenance system can be described adequately by analytic models. This report derives some mathematical models which depict the steady-state performance of this service system. All the models are steady-state Markov models of a service system having a finite customer population with multiple, independent servers, each having a service time which is Erlang-distributed. These models have been useful in verifying the maintenance portion of a stochastic production simulation. Some numerical results from the implementing computer program are presented. Results of different models are compared. Computer programs are provided.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1983
Accession Number
ADA136580

Entities

People

  • G. J. Schlenker

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Weapons Technologies

DTIC Thesaurus Topics

  • Artillery
  • Classification
  • Computational Science
  • Computer Programs
  • Equations
  • Equations Of State
  • Kolmogorov Equations
  • Maintenance
  • Mathematical Models
  • Models
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Production
  • Random Variables
  • Security
  • Steady State

Fields of Study

  • Engineering

Readers

  • Computational Modeling and Simulation
  • Computer Science.
  • Mathematical Modeling and Probability Theory.