Abstract

Facing the uncertainty in transaction of two-dimensional extended warranty, a flexible pricing model is presented considering imperfect preventive maintenance combined with the degradation characteristics of item. The measure of two-dimensional preventive maintenance is carried out based on specified age interval or usage interval, the effect of imperfect preventive maintenance is described by age reduction model. The extended warranty cost is modeled from the perspective of manufacturer and customer, the method of gridding search is employed to optimize the maintenance strategy under different cases. Moreover, customized extended warranty price and warranty services are proposed on the basis of consumer usage rates. The results demonstrate that it is helpful to maximize the benefit of vendor by providing customized warranty strategy, the implementation of preventive maintenance during the whole warranty period can effectively reduce warranty cost for both sides.

Highlights

  • ∫ Pl,4 = rmax E[ C4r ( K4 ,L4 ,m4 ) ] dG( r) rmin

  • Facing the uncertainty in transaction of two⁃dimensional extended warranty, a flexible pricing model is presented considering imperfect preventive maintenance combined with the degradation characteristics of item

  • The measure of two⁃dimensional preventive maintenance is carried out based on specified age interval or usage interval, the effect of imperfect preventive maintenance is described by age reduction model

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Summary

Introduction

∫ Pl,4 = rmax E[ C4r ( K4 ,L4 ,m4 ) ] dG( r) rmin PM 水平下 δ(m) 和 Cp 的取值,与文献[8] 的参数一 致。 可以看到,随着 m 的增大,年龄递减因子变小, 同时所投入的 PM 费用升高。 ∫ Ph l,i rmax E[ Cri( Ki ,Li ,mi ) ] dG( r) 2) Case 2 中,Pr 随着 m 的增加而增大,如图 3 所示。 二维 PM 策略存在一个现象:当 m = 4 时,制 造商的质保费用最低为 921 元,如图 2b) 所示,此时 PM 的间隔期为 9 个月或 1.5×104 km。 原因在于 m ≥4 时,δ( m) 逐渐变小,但是单次 PM 费用却急速 增加。 ( Case 2 中 m = 4,间隔期为 9 个月或 1.5×104 km,该 3.2 定制化延保价格策略

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