Warranty Period Optimization

A product warranty is an agreement offered by a producer to a consumer to replace or repair a faulty item, or to partially or fully reimburse the consumer in the event of a failure. Warranties are very widespread and serve many purposes, including protection for producer, retailer, and consumer. They are used as signals of quality and as elements of marketing strategies. In this study we review the notion of an online convex optimization algorithm and its variations, and apply it in the warranty context. We introduce a class of profit functions, which are functions of the warranty period, and use it to formulate the problem of maximizing the company's profit over time as an online convex optimization problem. We use this formulation to present an approach to setting the warranty period based on an online algorithm with low regret. Under a dynamic environment, this algorithm provides a warranty strategy for the company that maximises its profit overtime.


Nedialko B. Dimitrov and Stefanka Chukova. Warranty Optimization in a Dynamic Environment. Journal of Applied Mathematics and Decision Sciences, March, 2009

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