[en] We analyze in detail the constraints on SUSY-model parameters obtained from K-K mixing in the hypothesis of a splitted SUSY spectrum. FCNC contributions from gluino-squark-quark interactions are studied in the so-called mass-insertion approximation. We present boundaries on mass insertions and on SUSY mass scales. We improve on previous results by including the NLO-QCD corrections to the ΔS=2 effective Hamiltonian and the complete set of B parameters for the evaluation of hadronic matrix elements. A full set of magic numbers that can be used for further analyses of these models is also given. We find that the inclusion of NLO-QCD corrections and the B parameters change the results obtained at LO and in the vacuum insertion approximation by an amount of about 25-35%. (orig.)