RANDOM INVENTORY MODELS WITH BULK DEMAND AND STATE-DEPENDENT LEADTIMES,

Abstract

The paper describes two one-for-one ordering (S - 1,S) inventory models in which the time required for order replenishment is state dependent. The demand is assumed to follow a compound Poisson distribution, and that portion of the leadtime corresponding to the actual filling of orders is assumed to depend on the number of outstanding orders. Since the orders placed are assumed to go into a single-server queue, queuing results are used to obtain the expected inventory cost as a function of S in order to obtain an optimal value of S. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 22, 1970
Accession Number
AD0710362

Entities

People

  • Carl M. Harris
  • Donald Gross
  • James A. Lechner

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Inventory
  • Replenishment

Fields of Study

  • Mathematics

Readers

  • Logistics and Supply Chain Management.
  • Mathematical Modeling and Probability Theory.