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Journal of Information and Optimization Sciences cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667

WoS  JIF 2026 : 0.4 (Q4)

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Monthly Journal: Publishes theoretical and applied research on topics in information and optimization sciences.

Issues up to 2022 co-published with and available at:Taylor & Francis
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Open Access Research Article

An inspection and production model with inspection errors

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pp. 87–98Vol. 47Issue 1January 2026DOI: 10.47974/JIOS-1425XML
Received:
09 Aug 2022
Accepted:
07 Dec 2022
Published Online:
03 Feb 2025
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1425
Pages:
87–98

Abstract

When product inspection time is non-negligible, a previous paper developed an online inspection and production model in which inspection errors do not exist. It is assumed that the inspection rate is less than the production rate, to have an economic production lot size, product inspection information needs to be used to infer process quality so that the quality of the uninspected products can be inferred. Once the expected total cost per conforming product for an evaluated production quantity starts to increase, then production is ceased. However, since inspection itself is imperfect in practice, type I and type II inspection errors exist in reality. Thus, in this paper we have reformulated the previous production and inspection model and incorporated these two types of inspection error with the aim of determining their effect on the optimal production lot size. Illustrative numerical examples are provided to demonstrate the effect of inspection errors on optimal production and on inspection policy.

Keywords

Subject Classifications

90B0590B25

References

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