Abstract-Delay tolerant network (DTN) based on vehicular communications (i.e., vehicular delay tolerant network or VDTN) is considered in this paper. In VDTN, there is no direct end-toend connection between the source and destination (i.e., sink). In this case, the traffic source transmits data to a mobile router. This mobile router in a vehicle receives and stores data in a buffer. The vehicle can move and once it is in the transmission range, the data in a buffer is forwarded to the sink. The buffer management and its queueing model are proposed to analyze the performances of a mobile router in this vehicular delay tolerant network. With this analytical model, various performance measures (e.g., throughput and delay) can be obtained. This queueing model is then used as a tool to study the behavior of the traffic source in a competitive environment which is due to the fact that the transmission resources of a mobile router are shared among multiple traffic sources. Therefore, the traffic sources have to noncooperatively optimize their transmission strategies to achieve the highest utility. This queueing model formulation will be useful to investigate the performance and behavior of the vehicular delay tolerant network.