复合泊松需求与库存约束下零售商消费信贷政策研究

A Research on the Retailer’s Consumer Credit Policy under Compound-poisson Demand and Inventory Constraint

针对零售商存在库存约束,消费者到达过程服从泊松分布,且其购买行为依赖于支付能力和感知价值的情形,研究零售商在一个销售季节内不同库存水平下的最优消费信贷政策决策:始终不实施、始终实施或择时实施等3种消费信贷政策。研究表明,当固定成本高于某个阈值或当库存水平低于某个阈值时,应始终不实施消费信贷政策;当库存水平高于某个阈值时,应始终实施消费信贷政策;而当库存水平介于前述两个阈值之间时,应择时实施消费信贷政策(即从销售季节开始后的某刻起实施消费信贷);当零售价格相对较高时,应为消费者提供消费信贷补贴;在其他条件不变情况下,销售季节越短则越应该实施消费信贷政策。最后,通过算例分析验证了命题的准确性和可靠性。

In view of the retailer’s inventory constraints, the consumer arrival process obeying the Poisson distribution, and its purchasing behavior depending on the ability to pay and perceived value, a research is conducted on the optimal consumer credit policy decision of the retailer under different inventory levels in a sales season: never implement, always implement or implement on time. Studies have shown that consumer credit policies should never be implemented when fixed costs are above a certain threshold or when inventory levels are below a certain threshold. When the inventory level is above a certain threshold, the consumer credit policy should always be implemented. When the inventory level is between the above two thresholds, the consumer credit policy should be implemented at the right time, that is, consumer credit should be implemented from a certain moment after the start of the sales season. When the retail price is relatively high, consumer credit subsidies should be provided to consumers. Under other conditions, the shorter the sales season, the more the consumer credit policy should be implemented. Finally, the accuracy and reliability of the proposition are verified by a case study.