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Showing papers by "Abraham Charnes published in 1964"


Journal ArticleDOI
TL;DR: In this paper, chance-constrained programming methods are applied to examine some statistical properties of PERT networks and the PERT method is shown to be equivalent to use of the crudest linear decision rule and the confidence or lack thereof in meeting constraints.
Abstract: Chance-constrained programming methods are applied to examine some statistical properties of PERT networks. Using duality, the PERT method is shown to be equivalent to use of the crudest linear decision rule and the confidence or lack thereof in meeting constraints is explicitly presented. The distribution of completion times = Tintner's stochastic programming follows easily and may often be multimodal, contrasting with erroneous central limit theorem usages in the literature. Possible extensions and developments of PERT using more adequate chance-constrained models and techniques are suggested and will be presented elsewhere.

110 citations