Purpose

In this paper, multi-period location–inventory–routing problem (LIRP) considering different vehicles with various capacities has been investigated for the supply chain of red meat. The purpose of this paper is to reduce variable and fixed costs of transportation and production, holding costs of red meat, costs of meeting livestock needs and refrigerator rents.

Design/methodology/approach

The considered supply chain network includes five echelons. Demand considered for each customer is approximated as deterministic using historical data. The modeling is performed on a real case. The presented model is a linear mixed-integer programming model. The considered model is solved using general algebraic modeling system (GAMS) software for data set of the real case.

Findings

A real-world case is solved using the proposed method. The obtained results have shown a reduction of 4.20 per cent in final price of red meat. Also, it was observed that if the time periods changed from month to week, the final cost of meat per kilogram would increase by 43.26 per cent.

Originality/value

This paper presents a five-echelon LIRP for the meat supply chain in which vehicles are considered heterogeneous. To evaluate the capability of the presented model, a real case is solved in Iran and its results are compared with the real conditions of a firm, and the rate of improvement is presented. Finally, the impact of the changed time period on the results of the solution is examined.

中文翻译：

---

建模和解决红肉供应链的五级位置-库存-路由问题：伊朗的案例研究

目的

在本文中，针对红肉的供应链，研究了考虑不同容量的不同车辆的多时期选址－库存－路由问题（LIRP）。本文的目的是减少运输和生产的可变和固定成本，红肉的持有成本，满足牲畜需求的成本和冰箱租金。

设计/方法/方法

所考虑的供应链网络包括五个梯队。使用历史数据将为每个客户考虑的需求确定为近似。建模是在实际情况下执行的。提出的模型是线性混合整数规划模型。所考虑的模型使用通用代数建模系统（GAMS）软件对实际案例的数据集进行求解。

发现

使用提出的方法解决了实际情况。获得的结果表明，红肉的最终价格降低了4.20％。此外，据观察，如果时间周期从一个月到另一个星期变化，则每公斤肉的最终成本将增加43.26％。

创意/价值

本文提出了针对肉类供应链的五级LIRP，其中车辆被认为是异构的。为了评估所提出模型的能力，在伊朗解决了一个实际案例，并将其结果与公司的实际条件进行了比较，并提出了改进率。最后，检查更改的时间段对解决方案结果的影响。