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- W2047841781 abstract "Consider a PERT network where the arc lengths are discrete random variables. This paper presents methods for determining upper and lower bounding probability distributions on the exact probability distribution for the project duration in a PERT network. An analysis of the computational complexity of each of the methods is presented. In addition, we show that these methods may be improved by using the exact probability distribution for the starting time at a subset of the nodes. By incorporating this feature, one obtains tighter bounding probability distributions, and consequently tighter bounds on the expected project duration. This is illustrated by several examples. The ideas in this paper are applicable to the determination of the length of a shortest path in a transportation network, the reliability of a communications network, and the maximum flow in an electric power network." @default.
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- W2047841781 date "1978-01-01" @default.
- W2047841781 modified "2023-09-25" @default.
- W2047841781 title "On Bounding Distributions For Stochastic Networks" @default.
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- W2047841781 doi "https://doi.org/10.1145/800127.804149" @default.
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