中文摘要:
本文中，我們將討論在保固期內對產品進行免費的預防保養問題。本文引進了Black-Scholes方程式的模型來描述產品本身需求的不確定性，並依此來評估不同預防保養策略對產品的收益的影響。最後我們將求出使整個期望利潤的最佳化的解，即在固定的保固期間內，找出最佳的預防保養策略，使期望收益最高。

Abstract:
In this text, we will discuss to carry on a free prevention to maintain a problem to the product in the warranty period.This text introduced the model of the Black-Scholes equation to describe the product demanding indetermination, and depend on this to evaluate a different prevention to maintain the influence of the strategy upon the income of product.We finally will beg to go abroad as ambassador the whole solution of optimization that expect profits, during the period of the warranty for fixing inside, find out the best prevention to maintain strategy, make to expect that the income is the highest.

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