Abstract
Warranty as a kind of service contract plays a key role in business and legal transactions today. In this paper, we present for the first time a tri-partite service contract model including a manufacturer, an agent and a customer under risk parameter. We determine an optimal sale price, a warranty period and a warranty price for the manufacturer under quantity discount policies. The optimal maintenance cost or repair cost is obtained by the maximizing of an agent's profit according to the penalty cost incurred due to waiting time. Moreover, the customer maximizes his/her satisfaction by purchasing several products and choosing a portfolio of service contracts. Whereas the risk-aversion parameter on the customer side has an impact on their decision for choosing the type of service contract. On the other hand, the discount rate regime on the manufacturer side influences the number of purchased products. We present some numerical examples to illustrate the working logic of our model.
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