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

Abstract

The paper describes several 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. That portion of the leadtime dealing with the actual filling of orders is assumed to depend on the number of outstanding orders. Several models are investigated. Since the orders placed are assumed to go into a single-server queue, queuing results are used to obtain the expected inventory costs as a function of S in order to obtain an optimal value of S. (Author)

Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1969
Accession Number
AD0699338

Entities

People

  • Carl A. Harris
  • Donald Gross
  • Frederic A. Miercort
  • James A. Lechner
  • Philip D. Robers

Tags

DTIC Thesaurus Topics

  • Behavior And Behavior Mechanisms
  • Behavioral Disciplines And Activities
  • Behavioral Sciences
  • Cooperation
  • Group Dynamics
  • Inventory
  • Logistics
  • Replenishment

Fields of Study

  • Mathematics

Readers

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