In this work, we pave the way to calculate the productions of ω and K 0 S mesons with large p T in p+p and A+A collisions both at RHIC and LHC. The fragmentation functions (FFs) of the ω meson in vacuum at nextto-leading order (NLO) are obtained by evolving the NLO DGLAP evolution equations with rescaled ω FFs at initial scale Q 2 0 = 1.5 GeV 2 from a broken SU(3) model, and the FFs of K 0 S in vacuum are taken from AKK08 parametrization directly. Within the framework of the NLO pQCD improved parton model, we arrive at good descriptions of the experimental data on ω and K 0 S in p+p both at RHIC and LHC. With the higher-twist approach, to take into account jet quenching effect by medium-modified FFs, nuclear modification factors for ω meson and K 0 S meson both at RHIC and LHC are presented with different sets of jet transport coefficientsq 0. Then we make a global extraction ofq 0 both at RHIC and LHC by confronting our model calculations with all available data on six identified mesons: π 0 , η, ρ 0 , φ, ω, and K 0 S. The minimum value of total χ 2 /d.o. f for productions of these mesons gives the best value ofq 0 = 0.5 GeV 2 /fm for Au+Au collisions with √ s NN = 200 GeV at RHIC, andq 0 = 1.2 GeV 2 /fm for Pb+Pb collisions with √ s NN = 2.76 TeV at LHC, respectively, with the QGP spacetime evolution given by the event-by-event viscous hydrodynamics model IEBE-VISHNU. With these global extracted values ofq 0 , nuclear modification factors of π 0 , η, ρ 0 , φ, ω, and K 0 S in A+A collisions are presented, and predictions of yield ratios such as ω/π 0 and K 0 S /π 0 at the highp T regime in heavy-ion collisions both at RHIC and LHC are provided.