In this paper, we apply continuous review (S-1, S) policy for inventory control in a three-echelon supply chain (SC) including r identical retailers, a central warehouse with limited storage space, and two independent manufacturing plants which offer two kinds of product to the customer. The warehouse of the model follows (M/M/1) queue model where customer demands follow a Poisson probability distribution function, and customer serving time is exponential random variable. To evaluate the effect of considering bi-product developed model, solution of the developed model is compared with that of the two (M/M/1) queue models which are separately developed for each product. Moreover, and in order to cope with the computational complexity of the developed model, a particle swarm optimization algorithm is adopted. Through the conducted numerical experiments, it is shown that total profit of the SC is significantly enhanced using the developed model.
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机译：在本文中，我们将持续审查（S-1，S）策略应用于三级供应链（SC）中的库存控制，其中包括r个相同的零售商，一个有限存储空间的中央仓库以及两个提供两个独立制造工厂的独立制造工厂各种产品给客户。该模型的仓库遵循（M / M / 1）队列模型，其中客户需求遵循Poisson概率分布函数，并且客户服务时间是指数随机变量。为了评估考虑双产品开发模型的效果，将开发模型的解决方案与针对每种产品分别开发的两个（M / M / 1）队列模型的解决方案进行比较。此外，为了应对开发模型的计算复杂性，采用了粒子群优化算法。通过进行的数值实验表明，使用所开发的模型可以显着提高SC的总利润。
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