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A robust possibilistic programming model for production-routing problem in a three-echelon supply chain
Journal of Modelling in Management Pub Date : 2021-02-09 , DOI: 10.1108/jm2-06-2020-0162
Mohammad Ali Beheshtinia , Narjes Salmabadi , Somaye Rahimi

Purpose

This paper aims to provide an integrated production-routing model in a three-echelon supply chain containing a two-layer transportation system to minimize the total costs of production, transportation, inventory holding and expired drugs treatment. In the proposed problem, some specifications such as multisite manufacturing, simultaneous pickup and delivery and uncertainty in parameters are considered.

Design/methodology/approach

At first, a mathematical model has been proposed for the problem. Then, one possibilistic model and one robust possibilistic model equivalent to the initial model are provided regarding the uncertain nature of the model parameters and the inaccessibility of their probability function. Finally, the performance of the proposed model is evaluated using the real data collected from a pharmaceutical production center in Iran. The results reveal the proper performance of the proposed models.

Findings

The results obtained from applying the proposed model to a real-life production center indicated that the number of expired drugs has decreased because of using this model, also the costs of the system were reduced owing to integrating simultaneous drug pickup and delivery operations. Moreover, regarding the results of simulations, the robust possibilistic model had the best performance among the proposed models.

Originality/value

This research considers a two-layer vehicle routing in a production-routing problem with inventory planning. Moreover, multisite manufacturing, simultaneous pickup of the expired drugs and delivery of the drugs to the distribution centers are considered. Providing a robust possibilistic model for tackling the uncertainty in demand, costs, production capacity and drug expiration costs is considered as another remarkable feature of the proposed model.



中文翻译:

三级供应链生产路径问题的鲁棒可能性规划模型

目的

本文旨在提供一个包含两层运输系统的三层供应链中的集成生产路线模型,以最小化生产、运输、库存持有和过期药物处理的总成本。在所提出的问题中,考虑了一些规范,例如多站点制造、同时取货和交货以及参数的不确定性。

设计/方法/方法

首先,针对该问题提出了数学模型。然后,针对模型参数的不确定性及其概率函数的不可接近性,提供了一种可能性模型和一种等效于初始模型的稳健可能性模型。最后,使用从伊朗制药生产中心收集的真实数据评估所提出模型的性能。结果揭示了所提出模型的适当性能。

发现

将所提出的模型应用于现实生产中心所获得的结果表明,由于使用该模型,过期药品的数量有所减少,并且由于集成了同步取药和配送操作,系统成本也有所降低。此外,就模拟结果而言,稳健的可能性模型在所提出的模型中具有最佳性能。

原创性/价值

本研究考虑了具有库存计划的生产路线问题中的两层车辆路线。此外,还考虑了多站点制造、同时提取过期药品和将药品运送到配送中心。提供一个强大的可能性模型来解决需求、成本、生产能力和药物到期成本的不确定性被认为是所提出模型的另一个显着特征。

更新日期:2021-02-09
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