Properties of dust ion-acoustic (DIA) shocks and DIA holes are examined, assuming that a dusty plasma contains immobile charged dust grains, warm electrons, and warm ions. A Kortweg-deVries- Burgers equation for DIA shocks is derived by employing the hydrodynamic equations for the warm ion fluid and the Boltzmann electron density distribution. On the other hand, DIA holes arise when the warm ions follow a trapped vortex distribution. The profiles of DIA shocks and DIA holes are discussed. The results are useful for understanding the salient features of DIA shocks and holes that are recently observed in laboratory dusty plasma devices. (C) 2000 American Institute of Physics. [S1070-664X(00)00303-7].