In advance reservation environment, failure discovery strategy is very important to keep the normal running of whole system. One job's overtime (exceeding its booked time) may lead to a serious of jobs' abnormal termination in co-allocation environment. So there should be some strategies to solve this problem. In this paper, a novel overtimetolerance strategy is introduced. The strategy can tolerate active job exceeding its booking time and redirect transparently later inactive jobs to other resources. The architecture of implementing our strategy is described in this paper too. Simulation shows our overtime-tolerance strategy can decrease the abnormal termination ratio and improve the system throughput.