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首页> 外文期刊>Arabian Journal for Science and Engineering >A Generalized Economic Order Quantity Inventory Model with Shortage: Case Study of a Poultry Farmer
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A Generalized Economic Order Quantity Inventory Model with Shortage: Case Study of a Poultry Farmer

机译：短缺的广义经济订单量库存模型：以家禽养殖户为例

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摘要

We consider an EOQ inventory model for growing items, wherein the value and size of items increase during time, some instances of these items are livestock, fish, and poultry. The main difference between this inventory system and older ones is weight increment of products during stocking without buying more. This paper studies an inventory system of poultries that new-born items are fed to reach the ideal weight for consumers. In this study, based on the consumers' preference of fresh foods over frozen items, we assume that shortage is permitted and consumers wait for fresh items when company pays some additional penalties, i.e., the shortage is fully backordered. On the other hand, for each cycle, the producer must prepare the place in terms of hygiene conditions; thus, a setup time per cycle is considered. The aim of this study is to obtain optimum system solution, such that total costs, including setup, purchasing, holding, feeding, and shortage, are minimized. To do so, we employ mathematical measures to approximate growing rates and model the system as a non-linear programming. To solve the obtained optimization model, we employ hessian matrix to obtain optimal solution for this inventory system. The proposed EOQ inventory model helps poultry industries in Iran to optimize their system considering costs and permissible shortage, and it can be employed in other countries. Finally, we provide a numerical example and its sensitivity analysis, plus some potential future directions.
机译：我们考虑了用于生长物品的EOQ库存模型，其中物品的价值和大小会随着时间的推移而增加，其中一些物品是牲畜，鱼类和家禽。此库存系统与较旧的库存系统之间的主要区别在于，库存期间产品的重量增加而无需购买更多。本文研究了家禽的库存系统，该系统喂养新生的物品以达到消费者的理想体重。在这项研究中，基于消费者对冷冻食品的新鲜食品偏好，我们假设允许短缺，并且当公司支付额外的罚款时消费者等待新鲜食品，即短缺货品完全被补货。另一方面，对于每个周期，生产者必须根据卫生条件准备场所。因此，考虑了每个周期的建立时间。这项研究的目的是获得最佳的系统解决方案，以使包括安装，购买，保管，进料和短缺在内的总成本降至最低。为此，我们采用数学方法来估算增长率，并将系统建模为非线性规划。为了解决获得的优化模型，我们使用粗麻布矩阵为该库存系统获得最优解。拟议的EOQ库存模型可帮助伊朗的家禽行业考虑成本和允许的短缺来优化其系统，并且可以在其他国家/地区使用。最后，我们提供了一个数值示例及其敏感性分析，以及一些潜在的未来方向。

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