Abstract

GERT networks all of whose nodes have OR entrance and deterministic or stochastic exit and which are called OR networks are considered. The assumption that, figuratively speaking, different walks emanating from a deterministic node do not meet anywhere in an OR network results in a certain tree structure: If we shrink all strong components of the network to one node each, then any partial network whose activities are carried out during a single project execution represents an outtree. The above assumption also permits an OR network with “deterministic degree” d to be covered by d+1 STEOR networks (that is, GERT networks all of whose nodes have exclusive-or entrance and stochastic exit).

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