在一個高度競爭的市場環境裡，針對產品的行銷特色從而訂定產品價目表是賣方的主要策略性決策。本篇論文探討了獨佔賣方如何最佳化地決定附帶有不同保固計畫的產品價目表。藉由考量買方在產品保固長度的異質性，我們可以藉由數學模型來描述賣方的訂價問題。因此本篇論文發展了四個針對保固產品在不同的最佳化目標下的定價情境來探討賣方的定價問題。在每一個訂價情境之中，最佳化的產品價目表得以藉由最佳化控制方法導出並且用以最大化該訂價情境之中的目標函數。最後，在每一個訂價情境之中都有一個數值範例用來展示該訂價問題特色，而且最佳解的變動程度也相同地用參數敏感性分析來呈現。

In a competitive market environment, the main strategic decision for a seller is determining a price schedule with respect to a specific marketing feature of the product. This paper investigates how a monopolistic seller can optimally determine the price schedule for a product with different warranty plans. By incorporating buyers' heterogeneous preferences on product warranty length, the pricing problem of a product for the seller is mathematically formulated. Four different pricing scenarios of warranted products under varies optimization objective are developed to specify the pricing problems for the seller. In each scenario, the optimal price schedule is derived such that the optimization objective is maximized by employing an optimal control approach. Finally, a numerical example is provided to illustrate the features of the proposed problem in each scenario and the sensitivity analyses of the parameters on the optimal solutions are also performed.

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