基于视情维修的质保政策设计研究

doi:10.12005/orms.2021.0175

运筹与管理 ›› 2021, Vol. 30 ›› Issue (6): 19-25.DOI: 10.12005/orms.2021.0175

基于视情维修的质保政策设计研究

戴安舒¹, 李婷², 张书华¹, 何桢², 何曙光²

1.天津财经大学管理可计算建模协同创新中心,天津 30022;
2.天津大学管理与经济学部,天津 300072

收稿日期:2020-05-12 出版日期:2021-06-25
作者简介:戴安舒(1990-)女, 安徽六安人,讲师,博士,研究方向:质保政策设计;李婷(1992-)女,山西朔州人,博士生,研究方向:维修策略设计;张书华(1959-)男,天津人,教授,博导,研究方向:数理统计;何桢(1967-)男,河南濮阳人,教授,博导,研究方向:质量管理;何曙光(1975-)男,内蒙呼和浩特人,教授,博导,研究方向:质保管理。
基金资助:
国家自然科学基金资助项目(71802145,72002149,72032005,71872132);天津市科技发展战略研究计划项目(19ZLZXZF00290)

Warranty Policy Design Considering Condition-based Maintenance

DAI Anshu¹, LI Ting², ZHANG Shu-hua¹, HE Zhen², HE Shu-guang²

1. Co-innovation Center for Computable Modeling in Management Science, Tianjin University of Finance and Economics, Tianjin 300222,China;
2. College of Management Economics, Tianjin University, Tianjin 300072, China

Received:2020-05-12 Online:2021-06-25

摘要/Abstract

摘要： 随着产品同质化程度不断提升,完善的质保服务已成为厂商提升品牌形象、刺激用户购买需求和全面反馈市场信息的主要途径。本文以具有退化特性的耐用品为研究对象,建立了视情维修条件下性能退化的维纳过程模型,考虑产品价格、质保期长度和维修费用承担比例对产品需求的影响,以最大化厂商利润为目标,确定了最优的质保期长度和维修费用承担比例。结合算例,比较了无视情维修和提供视情维修两种情形下对应的厂商利润,并分析了产品退化速率、成本参数和产品价格对利润的影响。研究结果表明,在质保服务范围内提供合理的视情维修服务既可将产品可靠性维持在一个较高水平,又可显著提升厂商利润。

关键词: 质保政策, 视情维修, 维纳过程, 需求函数

Abstract: With the increasing homogeneity of products, attractive warranty has become a useful tool for enhancing brand image, stimulating demand and gathering market feedback. Firstly, the Wiener process associated with condition-based maintenance is established to model the performance degradation. Then we consider the effects of product price, warranty length and pro-rata proportion on demand function, and determine the optimal warranty length and pro-rata proportion with an aim to maximize the supplier's expected profit. Through data experiments under two conditions, namely with and without condition-based maintenance, the total profits under the two conditions are compared. Additionally, we investigate the impact of the speed of the product's deterioration process, cost parameters and product price on the supplier's profit. The results show that providing warranty policy incorporating condition-based maintenance contributes to maintaining product reliability at a relatively high level, but also effectively improving the supplier's profit.

Key words: warranty policy, condition-based maintenance, Wiener process, demand function

中图分类号:

F224

戴安舒, 李婷, 张书华, 何桢, 何曙光. 基于视情维修的质保政策设计研究[J]. 运筹与管理, 2021, 30(6): 19-25.

DAI Anshu, LI Ting, ZHANG Shu-hua, HE Zhen, HE Shu-guang. Warranty Policy Design Considering Condition-based Maintenance[J]. Operations Research and Management Science, 2021, 30(6): 19-25.

参考文献

[1] Shafiee M, Chukova S. Maintenance models in warranty: a literature review[J]. European Journal of Operational Research, 2013, 229(3): 561-572.
[2] Perry M, Perry A. Service contract compared to warranty as a means to reduce consumers risk[J]. Journal of Retailing, 1976, 52(2): 33-40.
[3] Bearden W O, Shimp T A. The use of extrinsic cues to facilitate product adoption[J]. Journal of marketing research, 1982. 229-239.
[4] Shimp T A, Bearden W O. Warranty and other extrinsic cue effects on consumers' risk perceptions[J]. Journal of Consumer research, 1982, 9(1): 38-46.
[5] 张瑞洁,钟远光,谢维.考虑维修时间的总质保需求预测模型[J].运筹与管理,2019,28(5):108-116.
[6] Ye Z, Ng H K T. On analysis of incomplete field failure data[J]. The Annals of Applied Statistics, 2014, 8(3): 1713-1727.
[7] Sundin E, Rönnbäck A Ö, Sakao T. From component to system solution supplier: strategic warranty management as a key to efficient integrated product/service engineering[J]. CIRP Journal of Manufacturing Science and Technology, 2010, 2(3): 183-191.
[8] Murthy D N P, Djamaludin I. New product warranty: a literature review[J]. International Journal of Production Economics, 2002, 79(3): 231-260.
[9] 戴安舒,何桢,刘子先,杨铎,何曙光.二维质保产品的柔性预防性维护策略研究[J].工业工程与管理,2017,22(5):9-16.
[10] Huang Y S, Fang C C. A cost sharing warranty policy for products with deterioration[J]. IEEE Transactions on Engineering Management, 2008, 55(4): 617-627.
[11] Jain M, Maheshwari S. Discounted costs for repairable units under hybrid warranty[J]. Applied Mathematics and Computation, 2006, 173(2): 887-901.
[12] Dai A, Wei G, Zhang Z, He S. Design of a flexible preventive maintenance strategy for two-dimensional warranted products[J]. Proceedings of the Institution of Mechanical Engineers, Part O: Journal of Risk and Reliability, 2020, 234 (1): 74-87.
[13] Huang Y S, Gau W Y, Ho J W. Cost analysis of two-dimensional warranty for products with periodic preventive maintenance[J]. Reliability Engineering System Safety, 2015, 134: 51-58.
[14] 程志君,高大化,黄卓,郭波.不完全维修条件下的视情维修优化模型[J].系统工程与电子技术,2006,28(7):1106-1108.
[15] 葛恩顺,李庆民,黄傲林,等.不完全维修下的单部件系统视情维修及更换策略[J].系统工程与电子技术,2012,34(12):2509-2513.
[16] Caballé N C, Castro I T, Pérez C J, Lanza-Gutiérrez J M. A condition-based maintenance of a dependent degradation-threshold-shock model in a system with multiple degradation processes[J]. Reliability Engineering System Safety, 2015, 134: 98-109.
[17] Zhao X, Xie M. Using accelerated life tests data to predict warranty cost under imperfect repair[J]. Computers Industrial Engineering, 2017, 107: 223-234.
[18] Zhao X, He S, Xie M. Utilizing experimental degradation data for warranty cost optimization under imperfect repair[J]. Reliability Engineering System Safety, 2018, 177: 108-119.
[19] 王凌,郑恩辉,李运堂,吴善强,陈锡爱.维修决策建模和优化技术综述[J].机械科学与技术,2010(1):139-146.
[20] Shang L, Si S, Sun S, Jin T. Optimalw warranty design and post-warranty maintenance for products subject to stochastic degradation[J]. IISE Transactions, 2018, 50: 913-927.
[21] Marseguerra M, Zio E, Podofillini L. Condition-based maintenance optimization by means of genetic algorithms and monte carlo simulation[J]. Reliability Engineering System Safety, 2002, 77(2): 151-165.
[22] 潘尔顺,陈震.高可靠性产品退化建模研究综述[J].工业工程与管理,2015,20(6):1-6,13.
[23] 任子强,司小胜,胡昌华,王玺.融合多传感器数据的发动机剩余寿命预测方法[J].航空学报,2019,40(12):134-145.
[24] Ye Z S, Xie M. Stochastic modelling and analysis of degradation for highly reliable products[J]. Applied Stochastic Models in Business and Industry, 2015, 31(1): 35-36.
[25] Darghouth M N, Chelbi A, Ait-kadi D. Investigating reliability improvement of second-hand production equipment considering warranty and preventive maintenance strategies[J]. International Journal of Production Research, 2017, 55(16): 4643-4661.
[26] 贾治宇,王立超,王乃超,康锐.基于停机时间的复杂系统维修资源配置模型[J].计算机集成制造系统,2010,16(10):2211-2216.
[27] Glickman T S, Berger P D. Optimal price and protection period decisions for a product under warranty[J]. Management Science, 1976, 22(12): 1381-1390.
[28] 袁容.基于性能退化分析的可靠性方法研究[D].电子科技大学,2015.

基于视情维修的质保政策设计研究

Warranty Policy Design Considering Condition-based Maintenance

PDF

可视化

摘要/Abstract

引用本文

使用本文

参考文献

相关文章 2

编辑推荐

Metrics

[1]	鲁渤, 杨显飞, 汪寿阳. 需求依赖价格下港口存货质押业务中质押率研究[J]. 运筹与管理, 2018, 27(5): 104-109.
[2]	王能发, 杨哲. 反需求函数集值情况下单主多从寡头竞争模型[J]. 运筹与管理, 2014, 23(2): 163-166.