Optimization and Decision-Making for a Service Contract on Machine Maintenance

We investigate a novel maintenance service contract model. The service provider of the machine must determine the optimal pricing structure and staffing levels, while the client selects an appropriate plan for the warranty duration. We consider linear, quadratic, polynomial, and exponential pricing...

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Main Authors: Zeyu Luo, Zhixin Yang, Jinbiao Wu, Zhaotong Lian
Format: Article
Language:English
Published: Wrocław University of Science and Technology 2024-01-01
Series:Operations Research and Decisions
Online Access:https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no4_6.pdf
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author Zeyu Luo
Zhixin Yang
Jinbiao Wu
Zhaotong Lian
author_facet Zeyu Luo
Zhixin Yang
Jinbiao Wu
Zhaotong Lian
author_sort Zeyu Luo
collection DOAJ
description We investigate a novel maintenance service contract model. The service provider of the machine must determine the optimal pricing structure and staffing levels, while the client selects an appropriate plan for the warranty duration. We consider linear, quadratic, polynomial, and exponential pricing functions for three types of warranties. By building a service model with a non-cooperative game, we obtain the Nash equilibrium of the bargaining solution. Numerical analysis reveals that the optimal warranty period decreases monotonically with service provider revenue and increases monotonically with the maximum prospective service time. Additionally, the market size does not affect the ideal warranty duration when the machine's lifetime is constant. (original abstract)
format Article
id doaj-art-9183c226bd26447bbfd24d5fbc5733e6
institution Kabale University
issn 2081-8858
2391-6060
language English
publishDate 2024-01-01
publisher Wrocław University of Science and Technology
record_format Article
series Operations Research and Decisions
spelling doaj-art-9183c226bd26447bbfd24d5fbc5733e62025-08-20T03:28:44ZengWrocław University of Science and TechnologyOperations Research and Decisions2081-88582391-60602024-01-01vol. 34no. 489101171702564Optimization and Decision-Making for a Service Contract on Machine MaintenanceZeyu Luo0Zhixin Yang1Jinbiao Wu2Zhaotong Lian3University of Macau, ChinaUniversity of Macau, ChinaUniversity of Macau, ChinaCentral South University, Hunan, ChinaWe investigate a novel maintenance service contract model. The service provider of the machine must determine the optimal pricing structure and staffing levels, while the client selects an appropriate plan for the warranty duration. We consider linear, quadratic, polynomial, and exponential pricing functions for three types of warranties. By building a service model with a non-cooperative game, we obtain the Nash equilibrium of the bargaining solution. Numerical analysis reveals that the optimal warranty period decreases monotonically with service provider revenue and increases monotonically with the maximum prospective service time. Additionally, the market size does not affect the ideal warranty duration when the machine's lifetime is constant. (original abstract)https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no4_6.pdf
spellingShingle Zeyu Luo
Zhixin Yang
Jinbiao Wu
Zhaotong Lian
Optimization and Decision-Making for a Service Contract on Machine Maintenance
Operations Research and Decisions
title Optimization and Decision-Making for a Service Contract on Machine Maintenance
title_full Optimization and Decision-Making for a Service Contract on Machine Maintenance
title_fullStr Optimization and Decision-Making for a Service Contract on Machine Maintenance
title_full_unstemmed Optimization and Decision-Making for a Service Contract on Machine Maintenance
title_short Optimization and Decision-Making for a Service Contract on Machine Maintenance
title_sort optimization and decision making for a service contract on machine maintenance
url https://ord.pwr.edu.pl/assets/papers_archive/ord2024vol34no4_6.pdf
work_keys_str_mv AT zeyuluo optimizationanddecisionmakingforaservicecontractonmachinemaintenance
AT zhixinyang optimizationanddecisionmakingforaservicecontractonmachinemaintenance
AT jinbiaowu optimizationanddecisionmakingforaservicecontractonmachinemaintenance
AT zhaotonglian optimizationanddecisionmakingforaservicecontractonmachinemaintenance