Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation

In a manufacturing system, lot sizing and maintenance are interdependent and interact with each other. Few studies jointly investigated production lot sizing and maintenance management considering system degradation. However, during the production process, the system and critical component performan...

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Main Authors: Li Qu, Junli Liao, Kaiye Gao, Li Yang
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Applied Sciences
Subjects:
Online Access:https://www.mdpi.com/2076-3417/12/17/8638
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author Li Qu
Junli Liao
Kaiye Gao
Li Yang
author_facet Li Qu
Junli Liao
Kaiye Gao
Li Yang
author_sort Li Qu
collection DOAJ
description In a manufacturing system, lot sizing and maintenance are interdependent and interact with each other. Few studies jointly investigated production lot sizing and maintenance management considering system degradation. However, during the production process, the system and critical component performance will undergo inevitable degradation over time. For example, equipment wears out due to both its own internal causes and the external environment. To monitor the degradation process, interval inspection is usually performed to obtain information about the system degradation and nonlinear degradation is more general. Thus, based on the nonlinear degradation of the production system, this study developed a joint optimization model of production lot sizing and preventive maintenance (PM) thresholds with the goal of maximizing profit per unit of time. The maintenance decision follows the control limit principle, i.e., the choice between preventive maintenance (PM), corrective maintenance (CM), or neither (do nothing) is based on the magnitude of degradation. A simulation algorithm is proposed to obtain the optimal lot-sizing allocation and PM thresholds. The effectiveness of this joint optimization model algorithm is illustrated by numerical examples and the results show that the maximum profit per unit time can be obtained by reasonably formulating PM thresholds and production lot sizing.
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spelling doaj.art-ac4babda60214d759a296520ac78f7c32023-11-23T12:43:36ZengMDPI AGApplied Sciences2076-34172022-08-011217863810.3390/app12178638Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear DegradationLi Qu0Junli Liao1Kaiye Gao2Li Yang3School of Economics and Management, Beijing Information Science & Technology University, Beijing 100124, ChinaSchool of Economics and Management, Beijing Information Science & Technology University, Beijing 100124, ChinaSchool of Economics and Management, Beijing Information Science & Technology University, Beijing 100124, ChinaSchool of Reliability and Systems Engineering, Beihang University, Beijing 100191, ChinaIn a manufacturing system, lot sizing and maintenance are interdependent and interact with each other. Few studies jointly investigated production lot sizing and maintenance management considering system degradation. However, during the production process, the system and critical component performance will undergo inevitable degradation over time. For example, equipment wears out due to both its own internal causes and the external environment. To monitor the degradation process, interval inspection is usually performed to obtain information about the system degradation and nonlinear degradation is more general. Thus, based on the nonlinear degradation of the production system, this study developed a joint optimization model of production lot sizing and preventive maintenance (PM) thresholds with the goal of maximizing profit per unit of time. The maintenance decision follows the control limit principle, i.e., the choice between preventive maintenance (PM), corrective maintenance (CM), or neither (do nothing) is based on the magnitude of degradation. A simulation algorithm is proposed to obtain the optimal lot-sizing allocation and PM thresholds. The effectiveness of this joint optimization model algorithm is illustrated by numerical examples and the results show that the maximum profit per unit time can be obtained by reasonably formulating PM thresholds and production lot sizing.https://www.mdpi.com/2076-3417/12/17/8638lot sizingpreventive maintenancedegradation modelingjoint optimization
spellingShingle Li Qu
Junli Liao
Kaiye Gao
Li Yang
Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation
Applied Sciences
lot sizing
preventive maintenance
degradation modeling
joint optimization
title Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation
title_full Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation
title_fullStr Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation
title_full_unstemmed Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation
title_short Joint Optimization of Production Lot Sizing and Preventive Maintenance Threshold Based on Nonlinear Degradation
title_sort joint optimization of production lot sizing and preventive maintenance threshold based on nonlinear degradation
topic lot sizing
preventive maintenance
degradation modeling
joint optimization
url https://www.mdpi.com/2076-3417/12/17/8638
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