The Internet with best-effort service for group command transmission produces path competition between commands easily.This paper firstly defines effective path statistics network (EPSN) based on Internet
and defines the group multi-constraints multi-objectives optimization problem based on the EPSN further.Aiming at the problem
this paper puts forward to the model GCTMHA (Group Command Transmission Model based on Heuristic Algorithm).The experiment verifies the reasonableness of the model from transmission success rate.