A DYNAMIC INVENTORY MODEL USING EXPONENTIAL SMOOTHING.

Abstract

Inventory systems may be analyzed using techniques which were originally devised to study the dynamic response of servomechanisms. The paper uses these methods to study an inventory system using exponential smoothing to predict a demand which is assumed to have a linear trend with uncorrelated noise components. The statistical properties of the estimator are investigated, and both exact and limiting expressions for its mean and variance are derived. The model is assumed to have a fixed time lag between the placing of a replinishment order and its receipt, and the system response is determined for impulse, step and ramp inputs. The choice of a smoothing constant is discussed, and the effect of the choice on the variance of the forecast equation, and the response time of the system is analyzed. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1965
Accession Number
AD0475380

Entities

People

  • Joseph V. Reilly Jr.

Organizations

  • Naval Postgraduate School

Tags

DTIC Thesaurus Topics

  • Dynamic Response
  • Equations
  • Estimators
  • Inventory
  • Mathematics
  • Servomechanisms

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Logistics and Supply Chain Management.
  • Statistical inference.