The solution of the continuous kinetic lumping model is reviewed with detail in this work by solving the mass balance equation that describes a particular hydrocracking process of crude oil at moderate reaction conditions. The main aspects of the continuum description are discussed and others are addressed for future research. Not all model parameters can reach the convergence directly but an iterative procedure is necessary. Arbitrary selection of the possible highest boiling point compound in the mixture can arrive to different values of parameters of the continuous kinetic lumping approach and some discussion about its determination is provided. (C) 2011 Elsevier Ltd. All rights reserved.