Abstract
Advanced sensors and measuring technologies make it possible to monitor the product working cycle. This means the manufacturer’s warranty to ensure reliability performance can be designed by monitoring the product working cycle and the consumer’s post-warranty maintenance to sustain the post-warranty reliability can be modeled by tracking the product working cycle. However, the related works appear seldom in existing literature. In this article, we incorporate random working cycle into warranty and propose a novel warranty ensuring reliability performance of the product with random working cycles. By extending the proposed warranty to the post-warranty maintenance, besides we investigate the postwarranty random maintenance policies sustaining the post-warranty reliability, i.e., replacement last (first) with preventive maintenance (PM). The cost rate is constructed for each post-warranty random maintenance policy. Finally, sensitivity of proposed warranty and investigated polices is analyzed. We discover that replacement last (first) with PM is superior to replacement last (first).
Highlights
In a broader sense, offering products to warranty can benefit simultaneously manufacturers and consumers
The contribution of this article can be highlighted in three key aspects: (1) we propose a novel warranty to ensure reliability performance of the product with random working cycles; (2) we investigate two types of random maintenance policy to sustain the post-warranty reliability of the product, which seldom exists in literature; (3) the performance of replacement last with preventive maintenance (PM) is more excellent
We introduce imperfect PM at the warranty period w to random periodic replacement last [16] and investigate a post-warranty random maintenance policy satisfying 1 imperfect PM is done at the warranty period w ; 2 replacement is done at the replacement time T or at the completion of a random working cycle, whichever occurs last; 3 minimal repair removes every failure before replacement
Summary
In a broader sense, offering products to warranty can benefit simultaneously manufacturers and consumers. Liu et al [14] investigated the optimal replacement problem for a warranty product subject to (M + 1) types of mutually exclusive failure modes, including M repairable failure modes and a catastrophic failure mode, by supposing that the warranty product’s lifetime follows Weibull distribution; Park et al [17] developed mathematical formulas to evaluate the long-run expected cost rates during the life cycle of the product, by considering the failure time of the product and a Weibull distribution; and Shang et al [19] investigated an optimal maintenance-replacement policy after the warranty expiry by assuming that the product lifetime follows distribution function; Shang et al [20] investigated the post-warranty maintenance by modeling the product failure as a degradation failure. The contribution of this article can be highlighted in three key aspects: (1) we propose a novel warranty to ensure reliability performance of the product with random working cycles; (2) we investigate two types of random maintenance policy to sustain the post-warranty reliability of the product, which seldom exists in literature; (3) the performance of replacement last (first) with PM is more excellent.
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