Aiming at the Multi-access Edge Computing （MEC） server data transmission requirements of high reliability， low latency and large data volume， a Media Access Control （MAC） scheduling strategy based on conflict-free access， priority architecture and elastic service technology for the vehicle edge computing scenario was proposed. The proposed strategy was based on the centralized coordination of channel access rights by the Road Side Unit （RSU） of the Internet of Vehicles （IoV）， which prioritized the link transmission quality between the On Board Unit （OBU） and the MEC server in the vehicle network， so that the Vehicle-to-Network （V2N） service data could be transmitted in a timely manner. At the same time， an elastic service approach was adopted for services between local OBUs to enhance the reliability of emergency message transmission when dense vehicles were accessed. First， a queuing analysis model was constructed for the scheduling strategy. Then， the embedded Markov chains were established according to the non-aftereffect characteristics of the system state variables at each moment， and the system was analyzed theoretically by the analysis method of probability generating functions to obtain the exact analytical expressions of key indicators such as the average queue length， and the average waiting latency of MEC server communication units and OBUs， and RSU query period. Computer simulation experimental results show that the statistical analysis results are consistent with the theoretical calculation results， and the proposed scheduling strategy can improve the stability and flexibility of the IoV under high load conditions.