Queueing Models for Spares Inventory and Repair Capacity.

Abstract

A population of items which break down at random times and require repair is studied (the classic machine repair problem with spares). It is desired to determine the number of repair channels and spares required over a multi-year planning horizon in which population size and component reliability vary, and a service level constraint is imposed. When an item fails, a spare (if available) is immediately dispatched to replace the failed item. The failed item is removed, transported to the repair depot, repaired, and then placed in the spares pool (which is constrained to be empty not more than 10% of the time) unless there is a backlog of requests for spares in which case it is dispatched immediately. The first model considered treats removal, transportation, and repair as one service operation. The second model is a series queue which allows for the separate treatment of removal, transportation, and repair. Breakdowns are assumed Poisson and repair times, exponential. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 05, 1977
Accession Number
ADA037014

Entities

People

  • Donald Gross
  • Henry D. Kahn
  • Joseph D. Marsh

Organizations

  • George Washington University

Tags

Communities of Interest

  • C4I
  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Algorithms
  • Dynamic Programming
  • Engineering
  • Gas Turbines
  • Generators
  • Integer Programming
  • Inventory
  • Investments
  • Mathematical Programming
  • Military Research
  • Operations Research
  • Probability
  • Self Assembly
  • Turbine Components
  • Turbines

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.