The (S−1,S) inventory model and its counterparts in queueing theory

Onno J. Boxma, David Perry (Corresponding author), Wolfgang Stadje

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We explore the relationship between the (S−1,S) inventory model and three well-known queueing models: the Erlang loss system, the machine-repair model and a two-node Jackson network. Exploiting this relationship allows us to obtain key performance measures of the (S−1,S) model, like the so-called virtual outdating time, the number of items on the shelf in steady state, the long-run rate of unsatisfied demands and the distribution of the empty shelf period.

Original languageEnglish
Pages (from-to)483-488
Number of pages6
JournalOperations Research Letters
Volume47
Issue number6
DOIs
Publication statusPublished - 1 Nov 2019

Fingerprint

Queueing theory
Queueing Theory
Inventory Model
Jackson Networks
Loss System
Queueing Model
Long-run
Performance Measures
Repair
Vertex of a graph
Model
Relationships
Inventory model
Queueing model
Performance measures
Node

Keywords

  • (S−1, S) inventory model
  • Erlang loss system
  • Jackson network
  • Machine-repair model
  • Virtual outdating time
  • (S-1, S) inventory model

Cite this

Boxma, Onno J. ; Perry, David ; Stadje, Wolfgang. / The (S−1,S) inventory model and its counterparts in queueing theory. In: Operations Research Letters. 2019 ; Vol. 47, No. 6. pp. 483-488.
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The (S−1,S) inventory model and its counterparts in queueing theory. / Boxma, Onno J.; Perry, David (Corresponding author); Stadje, Wolfgang.

In: Operations Research Letters, Vol. 47, No. 6, 01.11.2019, p. 483-488.

Research output: Contribution to journalArticleAcademicpeer-review

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