延迟支付具有固定订货成本多期随机库存模型

延迟支付条件下的库存管理问题得到广泛关注和研究,但大多数文献基于需求确定性的经济订货批量模型。该文建立延迟支付条件下有固定订货成本的多期随机需求周期性盘点库存管理模型。供应商提供的延迟支付合同允许零售商在订货期支付部分订货成本,在延迟支付期后支付剩余订货成本。该文证明了存在最优的(s,S)库存策略,并用数值算例考察了延迟支付条件下零售商的库存策略和成本改进情况。结果表明,采用延迟支付合同后,保证供应商的成本不增加的同时,零售商的成本平均下降了2.08%。

Multi-period stochastic inventory model with set-up costs and delay-in-payment

Most existing studies assume that the demand is deterministic.This analysis considers a multi-period stochastic inventory model with set-up costs and delay-in-payment.The supplier permits the retailer to pay a partial order cost at the ordering epoch,with the remaining part paid later in permissible delay periods.The results show that a(s,S) policy is optimal.A numerical model is used to investigate the effect of the delay-in-payment on the optimal policy and the decrement of the total cost to the retailer.With the delay-in-payment contract,the retailer’s cost is reduced by 2.08% in average,while the supplier’s cost is not increased.