A MODEL FOR RELATING WEAPONS SYSTEM AVAILABILITY AND CONTINUOUS REVIEW INVENTORY POLICIES FOR REPAIR PARTS

Abstract

A model is developed for relating continuous review inventory policies for repair parts to system availability. The system consists of S identical unit systems, each of which is a series of k-out-of-n structures. Unit system states are zero or one. An optimal cannibalization policy is assumed. Under this assumption the number of unit systems up is always the maximum possible for any given vector of backorders for the N part types in the system. The distribution of backorders under a (Q,r) policy with Poisson demands for each part type is used to derive expressions for system availability as functions of the Q,r vectors. For simplicity it is assumed that order quantities are set by an operating level in terms of days of supply. A numerical technique is presented for finding the vector of reorder points (safety levels) which minimizes the expected cost of on hand inventory subject to one of two alternative availability constraints.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0703250

Entities

People

  • Stanley L. Spaulding

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Availability
  • Cannibalization
  • Computer Programming
  • Computer Programs
  • Computers
  • Lead Time
  • Logistics
  • Logistics Management
  • Maintenance
  • Mathematical Models
  • Models
  • Numerical Analysis
  • Operations Research
  • Optimization
  • Plastic Explosives
  • Probability Distributions
  • Random Variables

Readers

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