Abstract
In this study, we develop an optimal maintenance policy with replacement service and minimal repair service for items from heterogeneous populations and determine the optimal warranty length and repair time threshold. We consider the information-based repair-replacement policy model and develop the formula to evaluate the expected cost rate during the product life cycle. A general formulation is derived for the expected cost rate under a warranty policy for items of heterogeneous populations. When a replacement service and minimal repair service are provided for a failed item, then an item from a weak population has the property of an item from a weak population after service. Similarly, an item from a strong population has the property of an item from a strong population after service. We define the optimal maintenance strategies to minimize the expected cost rate with failure time and repair time for items with heterogeneous reliability characteristics. The effects of parameters of the intensity function for the failure times on the optimal length of the warranty period are studied numerically. Assuming that the product deteriorates, we illustrate the proposed approach using numerical applications and observe the impacts of relevant parameters on the optimal length of the warranty period.
Highlights
To reduce the risk of product failures, various types of maintenance actions are carried out, for repairable products. ese maintenance actions may generally be classified into three types: PM, corrective maintenance (CM), and condition-based maintenance (CBM)
For a Mathematical Problems in Engineering deteriorating but repairable system, PM actions are performed at planned times to improve the reliability of the item, whereas CM is conducted upon failure to recover the system to working status and CBM is provided depending on the product’s condition
If the maintenance cost is included in the warranty cost, the warranty costs can be reduced by conducting effective PM actions during the warranty period. e reliability improvement of an item by a PM action could reduce the warranty costs, a PM action can impose additional costs
Summary
(5) Whenever a failure occurs for an item, minimal repair service is provided first. A new item is randomly chosen from the heterogeneous population and it is composed of strong subpopulation and weak subpopulation. We consider a repair-replacement policy under warranty for items from a heterogeneous population. Lee et al [23] and Cha [21] assumed that the item is randomly selected from a heterogeneous population which is composed of strong subpopulation and weak subpopulation. Under the information-based repair-replacement policy [20, 24, 27, 28], a newly installed product is maintained preventively at the predetermined cycle δ subject to no failures occurring during the warranty period. It is generally true that replacement cost is considerably higher than the minimal repair cost. e repair-replacement policy with the repair time threshold has been discussed in Park et al [10] in more general situations
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