This　paper　focuses　on　the　automated　truck　transportation　problem,　which　is　to　convert　some　existing　general　lanes　to　automated　truck　dedicated　lanes,　based　on　the　traffic　flow　equilibrium.　The　problem　aims　at　designing　a　feasible　network　of　automated　truck　dedicated　lanes　to　minimize　the　impact　on　the　overall　network.　We　formulate　a　nonlinear　programming　model　for　the　considered　problem,　and　apply　a　novel　reformulation　skill　(Second　Order　Cone　Programming)　to　simplify　the　nonlinear　model.　The　commercial　Optimizer　Solver　of　CPLEX　is　applied　to　solve　the　model.　A　small　instance　is　conducted　to　verify　the　accuracy　of　the　proposed　model.