当前位置: X-MOL 学术Comput. Oper. Res. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Optimizing price, order quantity, and backordering level using a nonlinear holding cost and a power demand pattern
Computers & Operations Research ( IF 4.6 ) Pub Date : 2021-05-01 , DOI: 10.1016/j.cor.2021.105339
Leopoldo Eduardo Cárdenas-Barrón , Buddhadev Mandal , Joaquín Sicilia , Luis A. San-José , Beatriz Abdul-Jalbar

It is well-known that the demand ratefor some products depends on several factors, such as price, time, and stock, among others. Moreover, the holding cost can varyover time. More specifically, it increases with time since a long period of storage requires more expensive warehouse facilities. This research introduces an inventory model with shortages for a singleproduct wherethe demand ratedepends simultaneously on both the selling price and time according to a power pattern. Shortages are completely backordered. Demand for the product jointly combines the impact of the selling price and a time power function, which is performed as an addition. Furthermore, the holding cost is a power of the time that the product is held in storage. The main objective is to derive the optimal inventory policy such that the total profit per unit of time is maximized. For optimizing the inventory problem, some theoretical results are derived first to prove that the total profit function is strictly pseudo concave with respect to the decision variables. Next, an efficient algorithm that obtains the optimal solution is provided. The proposed inventory model is a generalmodel because it contains several published inventory models as special cases. Some numerical examples are presented and solved to illustrate and validate the proposed inventory model. Also, a sensitivity analysis is conducted in order to highlight and generate significant insights.



中文翻译:

使用非线性持有成本和电力需求模式优化价格,订单数量和缺货订单水平

众所周知,某些产品的需求率取决于多个因素,例如价格,时间和库存。此外,持有成本会随着时间而变化。更具体地,由于长时间的存储需要更昂贵的仓库设施,因此它随着时间而增加。这项研究引入了一种单一产品短缺的库存模型,其中需求率根据功率模式同时取决于售价和时间。短缺是完全缺货。对产品的需求将销售价格的影响与时间幂函数结合在一起,这是一项附加功能。此外,保存成本是产品保存在存储库中的时间的幂。主要目标是得出最佳库存策略,以使单位时间的总利润最大化。为了优化库存问题,首先得出一些理论结果,以证明总利润函数对于决策变量严格来说是伪凹的。接下来,提供了一种获得最优解的有效算法。提议的清单模型是一个通用模型,因为它包含多个已发布的清单模型作为特殊情况。提出并解决了一些数值示例,以说明和验证所提出的库存模型。此外,进行敏感性分析以突出并产生重要的见解。首先得出一些理论结果,以证明总利润函数对于决策变量严格来说是伪凹的。接下来,提供一种获得最优解的有效算法。提议的清单模型是一个通用模型,因为它包含多个已发布的清单模型作为特殊情况。提出并解决了一些数值示例,以说明和验证所提出的库存模型。此外,进行敏感性分析以突出并产生重要的见解。首先得出一些理论结果,以证明总利润函数对于决策变量严格来说是伪凹的。接下来,提供一种获得最优解的有效算法。提议的清单模型是一个通用模型,因为它包含多个已发布的清单模型作为特殊情况。提出并解决了一些数值示例,以说明和验证所提出的库存模型。同样,进行敏感性分析以突出并产生重要见解。提出并解决了一些数值示例,以说明和验证所提出的库存模型。此外,进行敏感性分析以突出并产生重要的见解。提出并解决了一些数值示例,以说明和验证所提出的库存模型。此外,进行敏感性分析以突出并产生重要的见解。

更新日期:2021-05-02
down
wechat
bug