Embodiments of polyethylene formulations comprise a partially cross-linked multimodal polyethylene composition having a the first molecular weight ethylene-based polymer component and a second molecular weight ethylene-based polymer component, wherein the partially cross-linked multimodal polyethylene composition comprises a density from 0.930 g/cc to 0.943 g/cc measured according to ASTM D792, a melt index (I2) from 0.01 g/10 min to 5 g/10 min, when measured according to ASTM D1238 at 190° C. and a 2.16 kg load, a molecular weight distribution (MWD) from 5 to 10, wherein MWD is defined as Mw/Mn with Mw being a weight average molecular weight and Mn being a number average molecular weight, and a complex viscosity ratio from 250 to 450, wherein the complex viscosity ratio is defined as the complex viscosity at a shear rate of 0.01 rad/s divided by the complex viscosity at a shear rate of at a shear rate of 100 rad/s.