We address the problem of assigning nonpartitioned files in a parallel I/O system where the file accesses exhibit Poisson arrival rates and fixed service times. We present two new file assignment algorithms based on open queuing networks which aim at minimizing simultaneously the load balance across all disks, as well as the variance of the service time at each disk. We first present an off-line algorithm, Sort Partition, which assigns to each disk file with similar access time. Next, we show that, assuming that a perfectly balanced file assignment can be found for a given set of files, Sort Partition will find the one with minimal mean response time. We then present an on-line algorithm, Hybrid Partition, that assigns groups of files with similar service times in successive intervals while guaranteeing that the load imbalance at any point does not exceed a certain threshold. We report on synthetic experiments which exhibit skew in file accesses and sizes and we compare the performance of our new algorithms with the vanilla greedy file allocation algorithm.