HLA-based simulations in a grid environment have now become a main research hotspot in the M&S community, but there are many shortcomings of the current HLA running in a grid environment. This paper analyzes the analogies between HLA and OGSA from the software architecture point of view, and points out the service-oriented method should be introduced into the three components of HLA to overcome its shortcomings. This paper proposes an expanded running architecture that can integrate the HLA with OGSA and realizes a service-enabled RTI (SE-RTI). In addition, in order to handle the bottleneck problem that is how to efficiently realize the HLA time management mechanism, this paper proposes a centralized way by which the CRC of the SE-RTI takes charge of the time management and the dispatching of TSO events of each federate. Benchmark experiments indicate that the running velocity of simulations in Internet or WAN is properly improved.