How to operate Sr-82/Rb-82 and Ge-68/Ga-68 generators used in the positron emission tomography scan process is explained, and the importance of Sr-82 and Ge-68 radionuclides for these generators is revealed. To produce medical Sr-82 and Ge-68 by means of a proton accelerator in an irradiation time of 24 h, a proton beam current of 250 mu A, and an energy range E-proton = 100 -> 5 MeV, the cross sections and the neutron emission spectrum curves of (p,xn) reaction processes on Rb-85, Ga-69 and Ga-71 targets were calculated, and the activities and yields of the product were simulated for the reaction processes. Additionally, the integral yields of the reaction processes were determined via the calculated cross-sectional curves and the mass stopping power obtained from the X-PMSP program. Furthermore, based on the obtained results, the appropriate reaction processes for the production of Sr-82 and Ge-68 isotopes on Rb-85, Ga-69, and Ga-71 targets are discussed.