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A rigorous theoretical investigation has been made on the nonlinearpropagation of dust-ion-acoustic shock waves in a multi-component magnetizedpair-ion plasma having inertial warm positive and negative ions, inertialessnon-thermal electrons and positrons, and static negatively charged massive dustgrains. The Burgers' equation is derived by employing reductive perturbationmethod. The plasma model supports both positive and negative shock structuresin the presence of static negatively charged massive dust grains. It is foundthat the steepness of both positive and negative shock profiles declines withthe increase of ion kinematic viscosity without affecting the height, and thetemperature of the electrons enhances the amplitude of the shock profile. It isalso observed that the increase in oblique angle rises the height of thepositive shock profile, and the height of the positive shock wave increaseswith the number density of positron. The application of the findings frompresent investigation are briefly discussed.

Electrostatic shock structures in a magnetized plasma having non-thermal particles