Test scheduling is crucially important for optimal SoC test automation in allocating the limited available test resources. To assign test resource, this paper introduces a fuzzy based engine. Test pipelining is used to minimize the time of testing the SoC. The power consumption during the test process should be under control, without exceeding the maximal power and damaging the whole systems. Concurrent behaviors are due to the adept of process algebra .Based on the procedure, the parallel test actions are mapped into concurrent process to outline the test scheduling scheme for SoC core concurrent test. Power Swarm optimization based optimum renders solution to the multiple constraints like test power dissipation, test resources and test priorities prevail in the algorithm for SoC test scheduling based on process algebra