Optimal Random Maintenance Policy of the Warranted Product Subject to Random Working Cycle  
Author Lijun Shang


Co-Author(s) Guojun Shang; Cang Wu; Qingan Qiu


Abstract In this paper, we introduce both the limited number of random working cycle and refund to renewing free replacement warranty and proposes a two-dimensional renewing free replacement warranty (2DRPRW) from the manufacturer’ perspective. The proposed 2DRPRW stipulates ① if no failure occurs before the completion of the limited number of random working cycle or before the warranty period, whichever occurs first, then the manufacturer charges consumers a pro-rata fee to perform each failure replacement; otherwise, 2DRPRW will expire at the completion of the limited number of random working cycle or at the warranty period, whichever occurs first; ② if 2DRPRW expires at the completion of the limited number of the random working cycle before the warranty period, then the manufacturer will provide consumers a refund related to working time. Defining that 2DRPRW is extended to consumers’ post-warranty maintenance model, we investigate a consumers’ random maintenance policy to sustain the post-warranty reliability of the product, i.e., random periodic replacement policy (RPRP). For the investigated random maintenance policy, we construct cost rate model. By means of the numerical experiments, we explore characteristic of 2DRPRW and RPRP.
The contribution of this paper can be highlighted in two key aspects: (1) a novel warranty policy is proposed to ensure the product reliability performance by integrating random working cycle into warranty; (2) a post-warranty random maintenance policy is designed to sustain the postwarranty reliability by incorporating random working cycle the post-warranty maintenance.


Keywords Random working cycle, warranty, Post-warranty reliability, Random periodic replacement, Cost rate
    Article #:  RQD27-124

Proceedings of 27th ISSAT International Conference on Reliability & Quality in Design
Virtual Event

August 4-6, 2022