太陽能矽晶片電池製造產業的生意模型不同於一般產業，矽晶片在進料時都是以每片都同一價格買入，但在經過製程後產出的轉換效率為一個分配，銷售時根據轉換效率在不同區間而有不同價格。矽晶需求配置時，平均轉換效率水準與進料價格是需求配置之重要因素。原料購入後，要依實際客戶需求，對產能進行配置，以滿足客戶需求及產能的限制。
因此本研究假設轉換效率服從常態分配，而平均轉換效率是服從均勻分配的隨機變數。利用兩階段求解，第一階段用到賽局理論的觀念，探討以一家太陽能電池製造商、兩家矽晶片供應商所構成之二階供應鏈競爭關係，建構賽局數學模型，探討其價格及需求分配量之均衡解。第二階段利用規劃求解太陽能電池製造商之高效產能配置研究，在滿足高效產能限制和高效客戶需求的前提中，求出製造商利潤極大的產能配置。研究發現當一般製程產出之高效片無法滿足高效客戶需求時，優先選擇高效片增量較高的製造商進行高效製程。

This study examines the following two issues: The first issue is the allocation of supply of the silicon wafers in the solar industry and the decision of the price. The second issue is how to allocate high efficiency production capacity for the solar cell manufacturer to fulfill customers’ high efficiency demand. This study uses game theory to decide silicon wafer demand allocation and equilibrium price. It then uses mathematical programming to solve the solar cell manufacturer’s high efficiency production capacity allocation. The analysis of this study reveals that the supplier who has higher efficiency wafers has more advantage on price and demand. And, the solar cell manufacturer’s high efficiency capacity shall be allocated to the supplier with a larger increase in the ratio of high efficiency solar cell if the high efficiency process is adopted.

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