Exact solution of inventory replenishment policy for a linear trend in demand - Two-equation model

Wen Yang Lo*, Chih Hung Tsai, Rong-Kwei Li

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

This study presents a model for obtaining the exact optimal solution of inventory replenishment policy problem. The proposed model, called the "two-equation model", includes two governing equations and a time-frequency algorithm: the first equation determines the optimal replenishment times for a specified number of replenishments; the second equation determines the optimal number of replenishments. The time-frequency algorithm includes two main procedures to solve the first and second equations. In contrast to many approximation approaches, this model exactly solves the first equation, a simultaneous non-linear equations system using a generalized matrix-based solver. This study also examines the classical no-shortage inventory replenishment policy for linear increasing and decreasing trend demand. According to these results, the solution given by the two-equation model is an exact solution.

Original languageEnglish
Pages (from-to)111-120
Number of pages10
JournalInternational Journal of Production Economics
Volume76
Issue number2
DOIs
StatePublished - 21 Mar 2002

Keywords

  • Inventory
  • Linear trend in demand
  • Replenishment

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