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

Onno J. Boxma, David Perry, Wolfgang Stadje

Research output: Contribution to journalArticlepeer-review


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
Issue number6
StatePublished - Nov 2019
Externally publishedYes

Bibliographical note

Publisher Copyright:
© 2019


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

ASJC Scopus subject areas

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


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