A mean-variance optimisation approach to collectively pricing warranty policies

Ming Luo, Shaomin Wu

Research output: Contribution to journalArticlepeer-review

31 Citations (Scopus)


Warranty policy can influence the profit and cost of a product. In practice, a manufacturer commonly produces more than one product, or a portfolio of products, and provides warranty servicing for them. Many authors have attempted to optimise warranty policy to maximise the profit or minimise the cost of each individual product. Warranty claims of the products produced by the same manufacturer, however, may be due to common causes, since the products may be designed by the same engineer team or using the same type of components. This implies that the numbers of warranty claims of different products may be related, and optimisation of warranty policies for each individual product may therefore cause biased decisions. To overcome this disadvantage, this paper aims to collectively optimise a manufacturer's total profit for a portfolio of different products by using a mean-variance optimisation approach. A tool from the probability theory, copulas, is used to depict the dependence among the warranty claims of different products. Numerical examples are provided to illustrate the application of the proposed methods.
Original languageEnglish
Pages (from-to)101-112
Number of pages12
JournalInternational Journal of Production Economics
Early online date21 Nov 2017
Publication statusPublished - Feb 2018
Externally publishedYes


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