As autonomous vehicles (AVs) integrate into transportation systems, a transitional period will emerge where semi-autonomous vehicles (semi-AVs), which still require an attentive driver for steering, coexist with fully-autonomous vehicles (fully-AVs). Focusing on this phase, this study proposes a novel framework that incorporates Markov chains into an M / G n / n max / n max state-dependent queueing system to capture the distinct platooning dynamics and their impacts on the long-term travel efficiency of mixed traffic. The developed Markov chain-based traffic queueing system enables the derivation of traffic throughput in mixed semi- and fully-AV traffic, accounting for their diverse platooning and car-following behaviours. Numerical experiments are used to assess the influence of fully- and semi-AVs on throughput and driving experience in the mixed traffic. This study advances the modelling and analysis of traffic flow efficiency during the transitional phase of mixed traffic, offering insights for managing and controlling semi-AV traffic in the near future.
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