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

Autor(en): Boxma, Onno J.
Perry, David
Stadje, Wolfgang 
Stichwörter: (S-1, S) inventory model; Erlang loss system; Jackson network; Machine-repair model; Operations Research & Management Science; QUEUES; Virtual outdating time
Erscheinungsdatum: 2019
Herausgeber: ELSEVIER
Journal: OPERATIONS RESEARCH LETTERS
Volumen: 47
Ausgabe: 6
Startseite: 483
Seitenende: 488
Zusammenfassung: 
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. (C) 2019 Published by Elsevier B.V.
ISSN: 01676377
DOI: 10.1016/j.orl.2019.08.003

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