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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：短缺的广义经济秩序数量库存模型：家禽农民案例研究

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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：我们考虑一种用于生长物品的EOQ库存模型，其中物品的价值和大小在时间内增加，这些物品的某些情况是牲畜，鱼类和家禽。此库存系统与较旧的主要区别在于在库存期间的产品的重量增加而不购买更多。本文研究了家禽库存系统，新出生的物品被喂养以达到消费者的理想体重。在本研究中，根据消费者对冷冻物品的新鲜食品的偏好，我们假设允许短缺，消费者在公司支付一些额外处罚时等待新鲜物品，即，短缺完全延期交货。另一方面，对于每个循环，生产者必须在卫生条件方面制备该处;因此，考虑每个周期的设置时间。本研究的目的是获得最佳的系统解决方案，使得总成本，包括设置，购买，保持，喂养和短缺，最小化。为此，我们采用数学措施来近似速度和模型系统作为非线性编程。为了解决所获得的优化模型，我们雇用了Hessian矩阵以获得该库存系统的最佳解决方案。拟议的EOQ库存模式有助于伊朗的家禽产业，以便考虑成本和允许的短缺，可以在其他国家雇用。最后，我们提供了一个数字示例及其敏感性分析，以及一些潜在的未来方向。

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