A finite-horizon inventory system with partial backorders and inventory holdback

Yanyi Xu, Arnab Bisi, Maqbool Dada

Research output: Contribution to journalArticle

Abstract

We consider a periodic-review base stock inventory system with partial backorders. At the beginning of each period t of a T period problem, an order of size qt is placed for delivery one period later. As the stochastic demand is realized, as much as possible of it is filled immediately from the inventory on-hand. If the realized demand exceeds the inventory on-hand, up to qt–kt units of excess demand are backordered to be filled from the pipeline inventory or future orders. The on-order quantity kt denotes the reservation quantity held back for use in subsequent periods. The case kt=qt yields the full lost sales model while the case kt=−∞ yields the full backorder model.

LanguageEnglish (US)
Pages315-322
Number of pages8
JournalOperations Research Letters
Volume45
Issue number4
DOIs
StatePublished - Jul 1 2017

Fingerprint

Backorder
Finite Horizon
Inventory Systems
Partial
Sales
Pipelines
Lost Sales
Periodic Review
Stochastic Demand
Reservation
Excess
Immediately
Exceed
Denote
Unit
Finite horizon
Inventory systems
Model
Demand

Keywords

  • Backorders
  • Base-stock system
  • Inventory
  • Lost sales
  • Optimal policy
  • Stochastic demand

ASJC Scopus subject areas

  • Software
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering
  • Applied Mathematics

Cite this

A finite-horizon inventory system with partial backorders and inventory holdback. / Xu, Yanyi; Bisi, Arnab; Dada, Maqbool.

In: Operations Research Letters, Vol. 45, No. 4, 01.07.2017, p. 315-322.

Research output: Contribution to journalArticle

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