In multimedia packet switching systems, video and voice require real time service and endure the occurrence lor a lew packet overflow, whereas tolerance of packet overflow for file data is very severe. Therefore, when packet overflow for file data is occurred, a request for repeat is required. However, this problem has not considered in conventional analyses., . In this paper, we consider this problem and propose the packet overflow probability of the switching system with mixed bursty packets where bursty video and voice packets are accepted under the partial batch acceptance strategy (PBAS), and bursty file data packets is accepted under the whole batch acceptance strategy (WBAS). The purpose of this paper is reduce video and voice packet overflow probability. Then, since file data is requested for repeat in case of packet overflow, file data packet overflow probability is not considered. We first derive the general expression for packet overflow probability under the proposed mixed acceptance strategy. Next, the numerical calculation is carried out. It is found that the switching system under the proposed mixed acceptance strategies has advantage to reduce video and voice packet overflow probability.