本計劃之模式假設：任一時點知道新產品訊息的潛在消費者人數，如傳染病傳染般的擴散。此假設條件雖起源於Bass Diffusion Model，但與目前應用Bass Model 之各文獻模式皆有很大的不同。不同點如下: (1)現有 Bass Model 之相關研究皆假設產品售價為給定的常數(售價不隨時間點變動)，而本決策模式之決策者不僅隨時可控制市場知道新產品訊息的人數，也要控制各時間點產品的售價。此假設條件的放寬具有重要的應用價值。概因為新產品具有特殊的屬性，其售價訂定的核心應跳脫同性質產品的市場競爭，並應用此新產品的特殊性去作最有利的宣傳與應用，以轉換各時間點消費者剩餘成為利潤。 (2) Bass Model 系列論文的文獻應用範圍偏重於: 利用新產品實際銷售的時間序列資料之事後分析，發覺某些新產品的銷售規則來做為日後同性質新產品之銷售預測。而本模式是站在長期制定售價的決策者立場，探討其價值與售量的控制問題。其數學模式屬於最適控制問題。相較Bass Model 之一般文獻，此最適控制問題求解過程之難度與複雜性高，但在管理決策方面的應用場合顯然更寬廣且更具實務意義。
Our proposed model assumes that the number of potential consumers who once know the new product information at any time point will spread like communicable disease. Although this assumption conditions originated in the Bass diffusion Model, but it differs from the current applications of the Bass Model for: (1) Series of papers used by Bass Model assume that the product prices are constant (prices do not vary with changes of time). The decision-maker of the model shall not only take charge of the number of people who know the new product information in the market but also control the price of products at any time point. The relaxation of this assumption is with an important application value. Because the prices of the new products with special properties should escape from the market competition, to go for the most favorable publicity and application, and to convert consumer surplus at each time point to become the profits. (2) Series of papers and literature used by Bass Model emphasize the use of time-series data for new product sales and forecasting sales rules of some new products. This model is for the policy makers who decide the prices for a long time, and it discusses the prices and sales problems. The mathematical model belongs to the optimal control problem. Although this optimal control problem is more complicated than series of papers used by the Bass Model, but it＇s applications is apparently broader than the Bass Model Series paper applications in the management of decision-making theory.
