Continuous-Review (s,S) Inventory Models with State-Dependent Leadtimes,

Abstract

The paper describes the development of a continuous-review (s,S) inventory model with state-dependent and stochastic leadtimes. The demand on the inventory system is assumed to be a Posson random variable, and order-filling portion of the replenishment leadtime is allowed to depend on the number of outstanding orders (i.e., to be state dependent). The inventory state probabilities which are required in order to optimize the cost function with respect to s and S can be obtained via a queuing analysis on the order-filling process. Orders are assumed to arrive at a single-channel service facility, where the service may be state dependent in either one of two ways. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 12, 1971
Accession Number
AD0728391

Entities

People

  • Carl M. Harris
  • Donald Gross

Organizations

  • George Washington University

Tags

DTIC Thesaurus Topics

  • Buildings And Structures
  • Inventory
  • Mathematics
  • Military Facilities
  • Probability
  • Probability Distributions
  • Random Variables
  • Replenishment

Readers

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