We search for resonant $WW$ or $WZ$ production by using up to $5.4\text{ }\text{ }{\mathrm{fb}}^{\ensuremath{-}1}$ of integrated luminosity collected by the D0 experiment in run II of the Fermilab Tevatron Collider. The data are consistent with the standard model background expectation, and we set limits on a resonance mass by using the sequential standard model ${W}^{\ensuremath{'}}$ boson and the Randall-Sundrum model graviton $G$ as benchmarks. We exclude a sequential standard model ${W}^{\ensuremath{'}}$ boson in the mass range $180--690\text{ }\text{ }\mathrm{GeV}$ and a Randall-Sundrum graviton in the range $300--754\text{ }\text{ }\mathrm{GeV}$ at 95% C.L.