This paper investigates pert networks with independent and exponentially distributed activity durations. We model such networks as finite-state, absorbing, continuous-time Markov chains with upper triangular generator matrices. The state space is related to the network structure. We present simple and computationally stable algorithms to evaluate the usual performance criteria: the distribution and moments of project completion time, the probability that a given path is critical, and other related performance measures. In addition, we algorithmically analyze conditional performance measures—for example, project completion time, given a critical path—and present computational results. We then study extensions both to resource-constrained pert networks and to a special class of nonexponential pert networks.
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The nature and antecedents of faculty satisfaction in online higher education have not received much scholarly attention yet, despite the growing literature that indicates the relevance of faculty satisfaction for outcomes such as the success of e-learning programs, student learning, and student satisfaction. This exploratory study surveyed 171 faculty members from multiple institutions of higher education to learn about their experiences teaching online and to examine factors that might affect their satisfaction. Our study finds that higher education faculty who teach online are generally satisfied, and that satisfaction is more likely if there is appropriate training, and if teaching online allows for flexibility in their schedules. Although a weaker relationship, results also suggest that faculty are more satisfied teaching online when institutional support and organizational policies uphold online teaching efforts. Contrary to our expectations, however, our findings show that faculty who are more satisfied with support for technical elements of the online teaching environment, are less satisfied teaching online. Implications for research and practice are discerned through both the presence and absence of support for three sets of hypotheses, regarding faculty, institutional and technical factors.
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