Abstract: To solve doctor’s service bottlenecks under the peak condition of mobile medical, the paper proposes utilizing authorized agents to provide service, so as to reduce the burden of doctors and enhance the flexibility of service as well. We use attribute encryption technology to encrypt medical data. The ciphertext can be decrypted correctly when the proxy attribute satisfies the policy set by the authorized user, so as to obtain proxy signature to provide medical service for medical users. The scheme not only can alleviate the burden on the mobile medical service providers in the peak of the bottleneck, but also can solve the authorization problem during the absence of doctors. At the same time, we can achieve proxy traceback to preform the agency accountability and avoid unauthorized agency audit. This scheme can be used to reduce the computing cost of authorized doctors by using trusted authorization center. The simulation results reveal that the performance can be improved significantly than other scheme. At the same time, the candidate number prediction model and the supply computational resources prediction model are proposed. They can effectively estimate the number of candidate and collaborative computing power ability, which can be used for reference to alleviate the bottleneck problem in peak computing.