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Development of new hybrid discrete-time perishable inventory model based on Weibull distribution with time-varying demand using system dynamics approach
Computers & Industrial Engineering ( IF 6.7 ) Pub Date : 2021-02-02 , DOI: 10.1016/j.cie.2021.107151
Ewelina Chołodowicz , Przemysław Orłowski

In the 20th century, there has been a significant development in logistics systems owing to market globalisation. From this perspective, our study focuses on designing novel models of inventory systems to reflect these real-time systems with improved accuracy and eventually design optimal control systems. Many mathematical inventory models lack details. Most of the existing models in the literature neglect the inclusion of closing days despite the shortening of the shelf-lifes of perishable items daily. In this study, a hybrid dynamic discrete-time inventory model with random lifetime perishable products, first in–first out (FIFO) and last in-first out (LIFO) issuing policies, positive lead time, and time-varying demand, including closing days, is developed. It is assumed that the demand is an external input to the model, and thus, it is easy to implement or test various market scenarios. The developed model is fitted to real data obtained from the research on the formation of botulinum toxin on packaged cubed melons and microbial spoilage at various incubation temperatures. Our study shows that the implementation of the Weibull distribution in modelling perishability can improve the accuracy of reflecting the performance of real physical inventory systems. We compare the developed model to an existing one in the literature, considering different issuing policies: FIFO, LIFO, and their combination. The study also includes a comparative analysis of the fixed and random lifetimes of products in terms of closing days.



中文翻译:

基于Weibull分布随时间变化需求的Weibull分布新的混合离散时间易腐库存模型的系统动力学方法开发

在20世纪,由于市场全球化,物流系统有了重大发展。从这个角度出发,我们的研究重点是设计新颖的库存系统模型,以提高准确性地反映这些实时系统,并最终设计出最佳的控制系统。许多数学库存模型缺乏细节。尽管每天会缩短易腐物品的保质期,但文献中大多数现有模型都忽略了关闭日。在这项研究中,混合动态离散时间库存模型具有随机寿命的易腐产品,先进先出(FIFO)和后进先出(LIFO)发行政策,提前交货时间和时变需求,包括关闭天,很发达。假设需求是模型的外部输入,因此,易于实施或测试各种市场方案。所开发的模型适合于从各种包装温度下包装的瓜类中肉毒杆菌毒素的形成和微生物变质的研究获得的真实数据。我们的研究表明,在建模易腐性中实施Weibull分布可以提高反映真实实物库存系统性能的准确性。考虑到不同的发行策略:FIFO,LIFO及其组合,我们将开发的模型与文献中的现有模型进行比较。这项研究还包括根据关闭天数对产品固定和随机寿命的比较分析。所开发的模型适合于从各种包装温度下包装的瓜类中肉毒杆菌毒素的形成和微生物变质的研究获得的真实数据。我们的研究表明,在建模易腐性中实施Weibull分布可以提高反映真实实物库存系统性能的准确性。考虑到不同的发行策略:FIFO,LIFO及其组合,我们将开发的模型与文献中的现有模型进行比较。这项研究还包括根据关闭天数对产品固定和随机寿命的比较分析。所开发的模型适合于从各种包装温度下包装的瓜类中肉毒杆菌毒素的形成和微生物变质的研究获得的真实数据。我们的研究表明,在建模易腐性中实施Weibull分布可以提高反映真实实物库存系统性能的准确性。考虑到不同的发行策略:FIFO,LIFO及其组合,我们将开发的模型与文献中的现有模型进行比较。这项研究还包括根据关闭天数对产品固定和随机寿命的比较分析。我们的研究表明,在建模易腐性中实施Weibull分布可以提高反映真实实物库存系统性能的准确性。考虑到不同的发行策略:FIFO,LIFO及其组合,我们将开发的模型与文献中的现有模型进行比较。这项研究还包括根据关闭天数对产品固定和随机寿命的比较分析。我们的研究表明,在建模易腐性中实施Weibull分布可以提高反映真实实物库存系统性能的准确性。考虑到不同的发行策略:FIFO,LIFO及其组合,我们将开发的模型与文献中的现有模型进行比较。这项研究还包括根据关闭天数对产品固定和随机寿命的比较分析。

更新日期:2021-02-15
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