Considering the multi-objective,dynamic,uncertain and time sensitive features of emergency resource scheduling,the fast reaction time was focused as an important research subject.According to the characteristic of emergency system,the multi-resource emergency systems model with comsumption rates of nonnegative and integrable functions was introduced.A new model was built based on the object of earliest emergency-start-time,and the corresponding algorithm was provided.The results of empirical research illustrate that the model and the algorithm are both effective and play an active role in emergency resource scheduling.They also provide a theoretical support to emergency scheduling decision.