Gridshell　roofing　constructions　are　favored　in　modern　engineering　and　architecture　for　their　capacity　to　produce　expansive,　lightweight　roofs　using　slender　main　structural　elements,　yet　their　complex　and　costly　fabrication　limits　broader　adoption.　The　Multi-body　Rope　Approach　(MRA)　is　effective　in　computing　structurally　efficient　geometries　in　gridshells,　emphasizing　the　need　to　optimize　design　configurations　for　minimal　internal　stresses.　This　paper　presents　two　strategies,　Multiple　Order　MRA　(MO-MRA)　and　Repulsive　Nodes　MRA　(RN-MRA),　to　improve　the　MRA　and　streamline　gridshell　construction　by　reducing　the　necessary　types　of　structural　components.　These　approaches　are　combined　in　an　improved　MRA　(i-MRA),　reducing　manufacturing　costs　and　increasing　efficiency　in　construction　management.　The　i-MRA　was　implemented　in　Matlab　and　tested　on　four　case　studies　of　increasing　complexity,　demonstrating　its　effectiveness.　©　2024　Elsevier　B.V.