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Sponsored by the Center for Science and Technology Development of the Ministry of Education
Supervised by Ministry of Education of the People's Republic of China
In this paper we investigate Programming Evaluation and Review Technique networks with independently and generally distributed activity durations. For any path in this network, we select all the activities related to this
path such that the completion time of the sub-network (only consist of all the related activities) is equal to the completion time of
this path. We use the elapsed times as the supplementary variables and model this sub-network as a Markov Skeleton Process, the state space is related to the sub-network structure. Then use the backward equation to compute
the distribution of the sub-network\