Based on the estimation, the job scheduling mechanism automatically allocates the job to an appropriate site, which can execute the job earlier. The simulation results show that the proposed job scheduling mechanism improves the utilization efficiency of vector computing resources, compared to the conventional round-robin scheduling mechanism. In addition, the experiment using a prototype of the vector computing cloud indicates that the proposed job scheduling mechanism has enough potential for transparently executing jobs between the two SX-9 systems. Keywords-Job Scheduling, Grid Computing, Cloud, HPC