Distributional Analysis of Inventory Demand over Leadtime.

Abstract

The distribution of inventory demand over procurement leadtime is modeled using mixed probability distributions that explicitly account for the high incidence of zero demands observed in Inventory Control Point Demand History Files. Analysis was limited to the right-hand tail area of the distribution on the assumption that that area is of critical importance in determining the effectiveness of an inventory system. Probabilistic models studied were: 1) Bernoulli-exponential, 2) Bernoulli-lognormal, and 3) Bernoulli-logistic. These compound distributions were compared to several standard distributions including the Poisson, negative binomial and normal distributions using a resampling procedure appropriate in cases such as this where a paucity of data exists. Fits obtained from the 75th to 95th percentiles indicated the mixed distributions may be superior as a class to the standard distributions for high-demand items. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA123779

Entities

People

  • Mark Lee Yount

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Computer Programs
  • Computers
  • Data Analysis
  • Distribution Functions
  • Inventory
  • Inventory Control
  • Metal Matrix Composites
  • Normal Distribution
  • Operations Research
  • Plastic Explosives
  • Probabilistic Models
  • Probability
  • Probability Distributions
  • Random Variables
  • Standards
  • Two Dimensional
  • United States

Fields of Study

  • Mathematics

Readers

  • Logistics and Supply Chain Management.
  • Statistical inference.