這篇研究我們考慮一個價格敏感需求的整合存貨模型，且缺貨期間可透過部分欠撥來滿足需求。同時，也考慮了供應商提供信用交易給零售商。基於缺貨期間、信用期與訂購週期的時間不同，本文提出了三種不同情況的模型。透過對總利潤函數的分析，我們提出了一個演算法決定最佳化售價、補貨週期以及滿足需求的存貨比例。特別地，我們考慮了兩階段定價，亦即在有庫存以及缺貨期間分別採取不同的售價。也使用了數值分析說明求解過程以及探討參數對公司決策行為的影響。研究也顯示了兩階段定價優於一階段的固定定價。

In this research, we consider an integrated inventory model with a price sensitive demand rate, where the demand during the out-of-stock period is partially back-ordered. Also,a trade credit period is provided from supplier to retailer. A proposed model is developed under three different circumstances depend on the time of occurrence of shortages, credit period, and cycle time. By analyzing the total net profit function, we present an algorithm to determine the optimal selling price, the length of replenishment cycle, and demand's percentage that will be filled from stock. Specially, we consider two-phases pricing, it means that we determine the optimal selling price for in-stock period and optimal selling price for out-stock period. A numerical study is used to illustrate the solution procedure and to discuss the company behavior with different parameter values. The result also explains that two-phases pricing strategy is supreme to one-phase pricing strategy while obtaining the maximum profit.

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