Inventory model for seasonal demand with option to change the market
Inventory model for seasonal demand with option to change the market
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DOI：
10.1016/j.cie.2010.08.008
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发表时间：
2010-11
期刊：
影响因子：
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通讯作者：
Snigdha Banerjee;Ashish Sharma
中科院分区：
文献类型：
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作者：
Snigdha Banerjee;Ashish Sharma
在现实生活中，当批量采购变得方便甚至是强制性时，分销商通常会探索替代市场以最大化收入。在本文中，我们考虑具有季节性需求的产品的库存模型，该产品具有两个潜在市场（例如主要市场和替代市场）。在主要市场和替代市场的多个需求季节之前，分销商拥有一次采购机会。两个市场的需求模式相似，需求季节之间存在时间滞后。需求是一个价格和时间相关的函数，在每个需求季节内都有增加、恒定和下降阶段。需求率的规模参数取决于市场。在每个市场中，连续的季节由随机时间分隔。在一个补货周期中，分销商只有一种选择，即通过转移库存退出一级市场，无论售价是否变化。该选项可以在一级市场的任何完整赛季结束时行使。我们的调查表明，如果替代市场的需求率较高，即使售价略低，经销商转向替代市场也是有利的。获得价格或市场变化之前一级市场的最佳季节数。获得共同确定订单数量和价格的最优策略。讨论了利润函数的凹性。给出了求解过程、数值例子和敏感性分析。
In real life, when bulk purchase becomes convenient or even mandatory, it is a common practice for distributors to explore an alternative market in order to maximize the revenue earned. In this paper, we consider an inventory model for a product having seasonal demand with two potential markets, say, primary and alternate. The distributor has a single opportunity of procurement prior to multiple demand seasons in the primary and the alternate market. Both the markets have similar demand patterns, with time lag between their demand seasons. The demand is a price and time dependent function with increasing, constant and declining phases within each demand season. The scale parameter of demand rate depends upon the market. In each market, successive seasons are separated by random time. In one replenishment cycle, the distributor has a single option to exit the primary market by transferring the inventory, with or without change in selling price. This option can be exercised at the end of any complete season at the primary market. Our investigations indicate that it will be beneficial for the distributor to shift to the alternate market even at a slightly lower selling price if demand rate in the alternate market is higher. Optimal number of seasons at the primary market before change of price or market is obtained. Optimal policy is obtained for jointly determining the order quantity and price. Concavity of the profit function is discussed. Solution procedure, numerical examples and sensitivity analysis are presented.