Volume 18, Issue 1 (4-1999)
1999, 18(1): 43-59 |
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S. M. T. Fatemi Ghomi, M. Rabbani. A special Class of Stochastic PERT Networks. Journal of Advanced Materials in Engineering (Esteghlal) 1999; 18 (1) :43-59
URL: http://jame.iut.ac.ir/article-1-151-en.html
URL: http://jame.iut.ac.ir/article-1-151-en.html
Abstract: (4921 Views)
Considering the network structure is one of the new approaches in studying stochastic PERT networks (SPN). In this paper, planar networks are studied as a special class of networks. Two structural reducible mechanisms titled arc contraction and deletion are developed to convert any planar network to a series-parallel network structure.
In series-parallel SPN, the completion time distribution function can be calculated only by means of multiplication and convolution operations. For the first time, series-parallel networks are studied on the basis of the structural viewpoint. These networks belong to planar networks class. A key theorem provides capability of application of these mechanisms for non series-parallel planar networks
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