考虑价格折扣开始位置的服务商折扣策略

Discount Policy of Service Providers Considering the Starting Position of Price Discount

摘要: 现实生活中，排队服务系统往往通过价格折扣吸引更多用户进入队列。本文以M/M/1排队系统为背景，考虑价格折扣开始位置，以服务商利润最大化为目标对价格折扣策略进行研究。首先，研究一次止步顾客行为的服务商最优折扣开始位置策略；其次，考虑顾客排队等待过程的不耐烦，研究两次止步顾客行为的服务商最优折扣开始位置策略，最后，进行数值实验，验证最优折扣开始位置与服务商利润和排队队长的分布关系。研究表明：针对不同的顾客到达位置，给出不同价格折扣提示策略对于提升服务商利润和服务商营销有重要意义。

Abstract: In real life, queuing service systems often attract more users to the queue through price discounts. This paper takes the M/M/1 queuing system as the background, considers the starting position of the price discount, and studies the price discount strategy with the goal of maximizing the profit of the service provider. Firstly, studying the strategy of the service provider to stop the customer's behavior at the beginning of the optimal discount; Secondly, considering the impatience of the customer queuing process, the strategy of the best discount start position of the service provider that stops the customer behavior is studied, and finally, the numerical experiment is carried out to verify the distribution relationship between the optimal discount start position and the profit of the service provider and the queue leader. Studies have shown that giving different price discount prompt strategies for different customer arrival locations is of great significance for improving the profits of service providers and the marketing of service providers.