An order-revenue inventory model with returns and sudden obsolescence

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19 Scopus citations

Abstract

This paper introduces an EOQ-like state-dependent inventory model with returns and sudden obsolescence. Returns arrive according to a MAP process governed by the underlying Markov chain. Additionally, the system is totally obsoleted at stationary renewal times. Hitting level 0 yields an order of size Q. We assume order, loss, and shortage costs in addition to revenue. By applying hitting-time transforms and martingales we derive the cost functionals under the discounted criterion. Numerical results, insights, and a comparative study are provided.

Original languageEnglish
Pages (from-to)88-92
Number of pages5
JournalOperations Research Letters
Volume46
Issue number1
DOIs
StatePublished - Jan 2018

Keywords

  • Economic-order-quantity
  • Inventory model
  • MAP process
  • Obsolescence
  • Phase-type distribution
  • Returns

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