考虑更新延长两阶段保修的二手产品维修策略优化

doi:10.12005/orms.2020.0032

运筹与管理 ›› 2020, Vol. 29 ›› Issue (2): 40-46.DOI: 10.12005/orms.2020.0032

考虑更新延长两阶段保修的二手产品维修策略优化

董克, 罗运鹏

安徽广播电视大学经济与管理学院,安徽合肥 230022

收稿日期:2018-08-09 出版日期:2020-02-25
作者简介:董克(1982-), 男, 安徽蚌埠人, 博士, 副教授, 主要研究方向:设备维修管理;罗运鹏(1964-), 男, 安徽阜阳人, 教授, 主要研究方向:企业战略管理。
基金资助:
国家自然科学基金资助项目(G010903);安徽省高校自然科学基金项目(KJ2017A941;KJ2019A0967 );安徽省高校优秀青年人才计划项目(gxyq2017165)

Cost Optimization Model of Second-hand Product Considering Extended Renewing Two-phase Warranty

DONG Ke, LUO Yun-peng

School of Economics and Management, Anhui Radio & TV University, Hefei 230022, China

Received:2018-08-09 Online:2020-02-25

摘要/Abstract

摘要： 针对二手产品的维修问题,给出了二手产品生命周期的定义,提出了考虑更新延长两阶段保修的维修策略模型。该策略综合考虑了产品的年龄变化、延保折扣、小修和生产损失费用等因素,从顾客的角度出发,建立以顾客期望总费用率最小化为目标的免费更换保修和按比例更换保修两种策略模型,并给出模型最优化的相关理论证明。算例研究验证了模型的有效性,并对参数的灵敏度进行了分析,文中结论可为顾客进行产品维修计划提供决策依据。

关键词: 维修期, 更新保修, 延长保修, 两阶段保修, 小修

Abstract: This paper presents a model for second-hand products with an extended two-phase warranty while the definition of life cycle is reexamined. The factors such as product's age changed, extended warranty discount, minimal repair and lost production costs are taken into consideration in this model. It aims to fulfill the customers' expectation of minimizing the total cost rate per unit. Accordingly, free replacement/repair warranty policy and pro-rata replacement warranty policy are offered. As a proof of the model's optimal value, related theoretical explanation is provided. Above all, a case study, including the analysis for the sensitivity of the parameters, verifies the validity of the model. The conclusion can provide decision basis for customers with product maintenance plans.

Key words: maintenance period, renewing warranty, extended warranty, two-phase warranty, minimal repair

中图分类号:

TP16

董克, 罗运鹏. 考虑更新延长两阶段保修的二手产品维修策略优化[J]. 运筹与管理, 2020, 29(2): 40-46.

DONG Ke, LUO Yun-peng. Cost Optimization Model of Second-hand Product Considering Extended Renewing Two-phase Warranty[J]. Operations Research and Management Science, 2020, 29(2): 40-46.

参考文献

[1] Sahin I, Polatoglu H. Quality, warranty and preventive maintenance[M]. New York: Springer Science & Business Media, 2012.
[2] 董克,吕文元.基于历史故障数据的租赁设备预防维护策略优化[J].运筹与管理,2018,26(5):119-124.
[3] 张晓爽,孟宪云,贾鹏茹,等.基于修理设备的冷贮备可修系统的维修策略[J].运筹与管理,2011(3):150-155.
[4] Murthy D N P, Djamaludin I. New product warranty: a literature review[J]. International Journal of Production Economics, 2002, 79(3): 231-260.
[5] Rai B, Singh N. Modeling and analysis of automobile warranty data in presence of bias due to customer-rush near warranty expiration limit[J]. Reliability Engineering & System Safety, 2004, 86(1): 83-94.
[6] Oh Y S, Bai D S. Field data analyses with additional after-warranty failure data[J]. Reliability Engineering & System Safety, 2001, 72(1): 1-8.
[7] Jung M, Bai D S. Analysis of field data under two-dimensional warranty[J]. Reliability Engineering & System Safety, 2007, 92(2): 135-143.
[8] Wu C C, Chou C Y, Huang C. Optimal burn-in time and warranty length under fully renewing combination free replacement and pro-rata warranty[J]. Reliability Engineering & System Safety, 2007, 92(7): 914-920.
[9] Chien Y H. A new warranty strategy: combining a renewing free-replacement warranty with a rebate policy[J]. Quality and Reliability Engineering International, 2008, 24(7): 807-815.
[10] Chien Y H. Optimal age for preventive replacement under a combined fully renewable free replacement with a pro-rata warranty[J]. International Journal of Production Economics, 2010, 124(1): 198-205.
[11] 贾云献,李欣癑,王鹏,等.考虑多故障模式的新型装备更新保修费用预测[J].系统工程与电子技术,2015,37(8):1810-1817.
[12] Lam Y, Lam P K W. An extended warranty policy with options open to consumers[J]. European Journal of Operational Research, 2001, 131(3): 514-529.
[13] Wu S, Longhurst P. Optimising age-replacement and extended non-renewing warranty policies in lifecycle costing[J]. International Journal of Production Economics, 2011, 130(2): 262-267.
[14] Bouguerra S, Chelbi A, Rezg N. A decision model for adopting an extended warranty under different maintenance policies[J]. International Journal of Production Economics, 2012, 135(2): 840-849.
[15] Jung K M, Park M, Park D H. Cost optimization model following extended renewing two-phase warranty[J]. Computers & Industrial Engineering, 2015, 79: 188-194.
[16] Park M, Jung K M, Park D H. Optimal maintenance strategy under renewable warranty with repair time threshold[J]. Applied Mathematical Modelling, 2017, 43: 498-508.
[17] Wang L, Pei Z, Zhu H, et al. Optimising extended warranty policies following the two-dimensional warrantywith repair time threshold[J]. Eksploatacjai Niezawodnosc-Maintenance and Reliability, 2018, 20(4): 523-530.
[18] Park M, Jung K M, Park D H. Optimization of periodic preventive maintenance policy following the expiration of two-dimensional warranty[J]. Reliability Engineering & System Safety, 2018, 170: 1-9.
[19] Shang L, Si S, Cai Z. Optimal maintenance-replacement policy of products with competing failures after expiry of the warranty[J]. Computers & Industrial Engineering, 2016, 98: 68-77.
[20] Su C, Wang X. A two-stage preventive maintenance optimization model incorporating two-dimensional extended warranty[J]. Reliability Engineering & System Safety, 2016, 155: 169-178.
[21] Yang D, He Z, He S. Warranty claims forecasting based on a general imperfect repair model considering usage rate[J]. Reliability Engineering & System Safety, 2016, 145: 147-154.
[22] Wang J, Zhou Z, Peng H. Flexible decision models for a two-dimensional warranty policy with periodic preventive maintenance[J]. Reliability Engineering & System Safety, 2017, 162: 14-27.
[23] Shafiee M, Chukova S. Maintenance models in warranty: a literature review[J]. European Journal of Operational Research, 2013, 229(3): 561-572.
[24] Chattopadhyay G N, Murthy D N P. Warranty cost analysis for second-hand products[J]. Mathematical and Computer Modelling, 2000, 31(10): 81-88.
[25] Pongpech J, Murthy D N P, Boondiskulchock R. Maintenance strategies for used equipment under lease[J]. Journal of Quality in Maintenance Engineering, 2006, 12(1): 52-67.
[26] Shafiee M, Finkelstein M, Chukova S. On optimal upgrade level for used products under given cost structures[J]. Reliability Engineering & System Safety, 2011, 96(2): 286-291.
[27] Barlow R E, Proschan F. Mathematical theory of reliability[M]. Siam, 1996.
[28] Chattopadhyay G, Murthy D N P. Cost sharing warranty policies for second-hand products[J]. International Transactions in Operational Research, 2001, 8(1): 47-60.
[29] Chattopadhyay G, Rahman A. Development of lifetime warranty policies and models for estimating costs[J]. Reliability Engineering & System Safety, 2008, 93(4): 522-529.
[30] Shafiee M, Chukova S. Optimal upgrade strategy, warranty policy and sale price for second-and products[J]. Applied Stochastic Models in Business and Industry, 2013, 29(2): 157-169.

考虑更新延长两阶段保修的二手产品维修策略优化

Cost Optimization Model of Second-hand Product Considering Extended Renewing Two-phase Warranty

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