The conventional vector superposition method is difficult to meet the requirements on the analysis of ship cabin noise transmission paths located in the mid and high frequency domain. By comparing the statistical energy analysis system to a thermodynamic system and by introducing the concepts of vibroacoustical temperature and entropy, the problem of ranking dominant paths can be posed as a variation of the socalled K shortest path problem in graph theory. The paths with maximum sum of mixing entropy rate become the dominant energy paths. Both comparative examples and practical application to a VLCC ship were included to demonstrate the effectiveness and the commonality of this method. The results preliminary revealed the mechanism of sound transmission through ship cabins and could provide guidance for the vibroacoustics design of very large ships.