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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geprüft am 17.05.2024