AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home AIMS Mathematics Article
PDF (265.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

( s , S ) Inventory policies for stochastic controlled system of Lindley-type with lost-sales

Rubén Blancas-Rivera( ), Hugo Cruz-Suárez, Gustavo Portillo-Ramírez, Ruy López-Ríos
Facultad de Ciencias Físico Matemáticas, Benemérita Universidad Autónoma de Puebla, Av. San Claudio, San Manuel, Ciudad Universitaria, 72570, Puebla, México
Show Author Information

Abstract

This paper presents a characterization of ( s , S )-inventory policies for Lindley systems with possibly unbounded costs, where the objective is to minimize the expected discounted total cost by ordering (production) strategies. Moreover, the existence of a subsequence of minimizers of the value iteration functions that converge to a ( s , S ) optimal inventory system policy is shown. A numerical example is given to illustrate the theory.

Keywords

Markov control processesLindley random walkinventory control system(s, S) policies
CLC number: 49J53, 49K99

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 8,
August 2023
Pages 19546-19565
DOI: 10.3934/math.2023997

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Blancas-Rivera R, Cruz-Suárez H, Portillo-Ramírez G, et al. ( s , S ) Inventory policies for stochastic controlled system of Lindley-type with lost-sales. AIMS Mathematics, 2023, 8(8): 19546-19565. https://doi.org/10.3934/math.2023997

8

Views

0

Downloads

0

Crossref

3

Web of Science

4

Scopus
Received: 21 February 2023
Revised: 05 June 2023
Accepted: 06 June 2023
Published: 15 August 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)