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Reliability is playing an increasingly important role for distributed simulations. Abundant research has been carried out on the distributed computing system reliability recently. However, research on distributed simulation system reliability evaluation considering its characteristic has been quite sparse to date. In this paper, a reliability assessment model for distributed simulation system is developed. In the model, synchronization constraints between different logical processes (LP) are considered, and failures from communication, computing platform and simulation LPs are considered time-dependent. Numerical example illustrates the formulation and solution procedures, in which the assessment model is used.