Internet with dynamic nature and limited resource for group command transmission produces path invalidation and path competition.This paper firstly proposes EPSN (Effective Path Statistics Network) based on Internet

and defines GMCMOOP (Group Multi-Constraints Multi-Objective Optimization Problem) based on the EPSN.Aiming at the problem

this paper puts forward to the model GCTM (Group Command Transmission Model based on EPSN).In view of avoiding path invalidation

GCTM defines group incentive algorithm based on dynamic environment according to chasing solution thought.In view of avoiding path competition

the model defines two tactics

one is competition selected tactic and the other is avoiding selected tactic.Finally

this paper proves the convergence and effectiveness of the model GCTM.The experiment verifies the reasonableness of the model from response delay rate and transmission success rate.