Abstract
This paper presents methods for the time-oriented evaluation of special GERT networks. If every node of a GERT network has an exclusive-or entrance and a stochastic exit (so-called STEOR node), then a Markov renewal process can be assigned to this activity network. In this case, the quantities of interest in project scheduling may be determined from the renewal functions of the process. In addition, GERT networks containing “non-STEOR nodes” are treated where the non-STEOR nodes are allowed to occur only within special subnetworks, called basic element structures. Numerical tests have shown that in most cases the methods described consume less computing time than simulation.
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