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This paper describes two basic queueing models of service platforms indigital sharing economy by means of two different policies of platform matchinginformation. We show that the two queueing models of service platforms can beexpressed as the level-independent quasi birth-and-death (QBD) processes. Usingthe proposed QBD processes, we provide a detailed analysis for the two queueingmodels of service platforms, including the system stability, the averagestationary numbers of seekers and of idle owners, the expected sojourn time ofan arriving seeker, and the expected profits for both the service platform andeach owner. Finally, numerical examples are employed to verify our theoreticalresults, and demonstrate how the performance measures of service platforms areinfluenced by some key system parameters. We believe that the methodology andresults developed in this paper not only can be applied to develop a broadclass of queuing models of service platforms, but also will open a series ofpromising innovative research on performance evaluation, optimal control andqueueing-game of service platforms and digital sharing economy.

Two Basic Queueing Models of Service Platforms in Digital Sharing Economy