An endoluminal tubular prosthesis for use in an open surgical repair comprises a tubular graft having a longitudinal axis, a first tubular section having a plurality of self-expanding stents and extending along the longitudinal axis and a second stent-less tubular section extending from the first tubular section and along the longitudinal axis. The tubular prosthesis can include a plurality of tubular branching members branching therefrom for treating branched arteries without obstructing them, such as the branches from the aortic arch.