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The paper presents the optimization of injection parameters of directly injected fuel in the dual fuel engine operation. The optimization is performed numerically by using a cycle simulation model of the considered engine. In the cycle simulation model, combustion is simulated by a newly developed quasi-dimensional dual fuel combustion model. The model is based on the modified multi-zone combustion model and the quasi-dimensional combustion model. The modified multi-zone combustion model handles the part of the combustion process that is governed by the mixing-controlled combustion, while the modified quasi-dimensional combustion model handles the part that is governed by the flame propagation through the combustion chamber. The developed dual fuel combustion model features a phenomenological description of spray processes, i.e. the liquid spray break-up, fresh charge entrainment, droplet heat-up, and evaporation processes.