Khedlekar Uttam Kumar, Shukla Diwakar, Namdeo Anubhav
Department of Mathematics and Statistics, Dr Harisingh Gour Vishwavidyalaya (A Central University), Sagar, MP India.
Springerplus. 2016 Nov 11;5(1):1957. doi: 10.1186/s40064-016-3627-x. eCollection 2016.
We have designed an inventory model for seasonal products in which deterioration can be controlled by item preservation technology investment. Demand for the product is considered price sensitive and decreases linearly. This study has shown that the profit is a concave function of optimal selling price, replenishment time and preservation cost parameter. We simultaneously determined the optimal selling price of the product, the replenishment cycle and the cost of item preservation technology. Additionally, this study has shown that there exists an optimal selling price and optimal preservation investment to maximize the profit for every business set-up. Finally, the model is illustrated by numerical examples and sensitive analysis of the optimal solution with respect to major parameters.
我们设计了一个针对季节性产品的库存模型，在该模型中，变质可通过产品保鲜技术投资来控制。产品需求被认为对价格敏感且呈线性下降。本研究表明，利润是最优销售价格、补货时间和保鲜成本参数的凹函数。我们同时确定了产品的最优销售价格、补货周期以及产品保鲜技术成本。此外，本研究表明，对于每个业务设置，都存在一个最优销售价格和最优保鲜投资以实现利润最大化。最后，通过数值示例以及对最优解关于主要参数的敏感性分析对该模型进行了说明。
