Optimum Inventory and Product Quality Control with Deterministic and Stochastic Deterioration—An Application of Distributed Parameters Control Systems

Alain Bensoussan, Georges Nissen, Charles S. Tapiero, Charles S. Tapiero

Research output: Contribution to journalArticle

Abstract

Inventory models with deterministic and stochastic deterioration rates are given. The first model, assuming deterministic deterioration rates, is a hyperbolic equation while the second one assuming a stochastic deterioration rate is reduced to a parabolic equation of the second order. Optimization of these in inventory models when costs are quadratic yields linear feedback replenishment policies. This short paper provides an analytic solution to both problems. The importance of such inventory models is to be found when the demand and value of stored products is also dependent on their quality.

Original languageEnglish (US)
Pages (from-to)407-412
Number of pages6
JournalIEEE Transactions on Automatic Control
Volume20
Issue number3
DOIs
StatePublished - Jun 1975

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Computer Science Applications
  • Electrical and Electronic Engineering

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