在线咨询
中国工业与应用数学学会会刊
主管：中华人民共和国教育部
主办：西安交通大学
ISSN 1005-3085  CN 61-1269/O1
工程数学学报

工程数学学报 ›› 2026, Vol. 43 ›› Issue (3): 529-542.doi: 10.3969/j.issn.1005-3085.2026.03.010cstr: 32411.14.cjem.CN61-1269/O1.2026.03.010

• • 上一篇    下一篇

考虑厌恶价格损失的价格与服务速率决策研究

谢祥添   

  1. 广东金融学院经济贸易学院，广州 510521
  • 收稿日期:2023-09-29 接受日期:2025-01-04 出版日期:2026-04-15 发布日期:2026-08-15
  • 基金资助:
    国家自然科学基金 (71271060).

Price and Service Rate Decision-making Considering Customer Aversion Price Loss

XIE Xiangtian   

  1. School of Economic & Trade, Guangdong University of Finance, Guangzhou 510521
  • Received:2023-09-29 Accepted:2025-01-04 Online:2026-04-15 Published:2026-08-15
  • Supported by:
    The National Natural Science Foundation of China (71271060).

摘要：

为了表示参加排队的顾客对价格有厌恶行为，构建了含有厌恶价格损失系数的效用函数。在此基础上，运用排队理论建立以价格与服务速率为决策变量的基于$M/M/1$排队和基于双$M/M/1$排队的利润–效用优化模型。对于基于$M/M/1$排队的利润–效用优化模型，最优价格和最优利润随着需求潜力和厌恶价格损失的增加而增加，随着需求价格敏感系数的增加而减少。对于基于双$M/M/1$排队的利润–效用优化模型，除了最优价格和最优利润和相关参数关系与基于$M/M/1$排队的利润–效用优化模型有一样的关系外，厌恶价格损失有利于服务提供商的利润。最后，通过一个算例说明了模型的应用，这有助于服务提供商有关价格和服务速率的决策。

关键词: 厌恶价格损失, 价格, 服务速率, 排队

Abstract:

In order to indicate that customers participating in the queue exhibit price aversion behavior, a utility function with an aversion price loss coefficient is constructed. On this basis, queuing theory is applied to establish profit-utility optimization models based on $M/M/1$ queuing and dual $M/M/1$ queuing, with price and service rate as decision variables. For the $M/M/1$ queuing profit-utility optimization model. The optimal price and optimal profit increase with the increase of demand potential and aversion to price losses, and decrease with the increase of demand price sensitivity coefficient. For the dual $M/M/1$ queuing profit-utility optimization model, in addition to the same relationship between the optimal price and optimal profit and related parameters as the $M/M/1$ queuing profit-utility optimization model, aversion price loss is beneficial to the profit of the service provider. Finally, a numerical example is provided to illustrate the model's application, which helps service providers in decision-making regarding pricing and service rates.

Key words: aversion price loss, price, service rate, queuing

中图分类号: