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

Onno J. Boxma; David Perry; Wolfgang Stadje

doi:10.1016/j.orl.2019.08.003

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

Onno J. Boxma
, David Perry
, Wolfgang Stadje

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	483-488
Number of pages	6
Journal	Operations Research Letters
Volume	47
Issue number	6
DOIs	https://doi.org/10.1016/j.orl.2019.08.003
State	Published - Nov 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019

Keywords

(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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10.1016/j.orl.2019.08.003

Cite this

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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.",

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AU - Stadje, Wolfgang

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AB - 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.

KW - (S−1, S) inventory model

KW - Erlang loss system

KW - Jackson network

KW - Machine-repair model

KW - Virtual outdating time

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JF - Operations Research Letters

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ER -

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

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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