Abstract: The multimedia applications need the guarantee of the QoS(quality of servi ce) when retrieving data form the storage systems, the fraction of requests whose response time exceeds a specific delay limit must below a certain proport ion. In the concurrent multimedia workloads, many applications access a storage system at the same time, Which makes it difficult to satisfy the QoS requireme nts. The aggregate requests of concurrent multimedia applications Poisson arrive the storage system, the storage system service time is exponential distribution, su ch stochastic process was abstracted as an M/M/1 queuing model. Based on the que uing model, the relationship between the number of concurrent multimedia applica tions and the statistical distribution of the requests response time was determi ned, the relationship can be used to guarantee the QoS of concurrent multimedia applications. The experimental results validate the novel model is accurate.