DEMAND DURING LEAD TIME IN AN INVENTORY CONTROL SYSTEM.

Abstract

Demand during lead time is considered as the sum of a rrandom number of random variables. Discrete random variables are considered as describing demand and lead time and probability generating functions are used to determine the probability generating function of demand during lead time. The probability distribution of demand during lead time is extracted from the probability generating function by using a power series expansion and the calculation of probabilities from the expansion are discussed. The mean and variance of demand during lead time are also obtained from the probability generating function. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1964
Accession Number
AD0483002

Entities

People

  • Robert L. Williams

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Control Systems
  • Inventory
  • Inventory Control
  • Lead Time
  • Mathematics
  • Power Series
  • Probability
  • Probability Distributions
  • Random Variables

Readers

  • Logistics and Supply Chain Management.
  • Statistical inference.