This paper describes two basic queueing models of service platforms in digital sharing economy by means of two different policies of platform matching information. We show that the two queueing models of service platforms can be expressed as the level-independent quasi birth-and-death (QBD) processes. Using the proposed QBD processes, we provide a detailed analysis for the two queueing models of service platforms, including the system stability, the average stationary numbers of seekers and of idle owners, the expected sojourn time of an arriving seeker, and the expected profits for both the service platform and each owner. Finally, numerical examples are employed to verify our theoretical results, and demonstrate how the performance measures of service platforms are influenced by some key system parameters. We believe that the methodology and results developed in this paper not only can be applied to develop a broad class of queuing models of service platforms, but also will open a series of promising innovative research on performance evaluation, optimal control and queueing-game of service platforms and digital sharing economy.

中文翻译：

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数字共享经济中服务平台的两种基本排队模式

本文通过两种不同的平台匹配信息策略，描述了数字共享经济中服务平台的两种基本排队模式。我们表明服务平台的两种排队模型可以表示为与级别无关的准生死（QBD）过程。使用所提出的 QBD 流程，我们对服务平台的两种排队模型进行了详细分析，包括系统稳定性、寻道者和闲置所有者的平均固定数量、到达寻道者的预期逗留时间以及预期利润。服务平台和每个业主。最后，通过数值例子验证了我们的理论结果，并展示了服务平台的性能指标如何受到一些关键系统参数的影响。