具有平行顾客的双端排队系统的均衡分析

Equilibrium Analysis of a Double-Ended Queueing System with Parallel Customers

摘要: 本文研究了一类具有两类平行顾客的经典双端排队系统的出租车–乘客匹配过程。在经典模型中，顾客采用个人效用最大化的均衡阈值策略和社会收益最大化的最优阈值策略加入系统，推导了系统的稳态概率、性能指标及社会收益函数，并通过数值实验探讨了相关参数对均衡阈值和社会最优阈值的影响以及对社会收益的影响。

Abstract: This paper studies the taxi-passenger matching process in a class of classical two-sided queueing systems with two types of parallel customers. In the classical model, customers join the system using an equilibrium threshold strategy that maximizes personal utility and an optimal threshold strategy that maximizes social welfare. The steady-state probabilities, performance indicators, and social welfare function of the system are derived. Numerical experiments are conducted to explore the effects of relevant parameters on the equilibrium threshold, the socially optimal threshold, and their impact on social welfare.