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Clark and Reza-Latif-Shabgahi Algorithm for the Determination of the Minimal Cut-Sets of the Fault Tree of Pipeline Failure in the Niger Delta Region of Nigeria


GO Ariavie
GC Ovuworie
SS Ariavie

Abstract

We apply the straight forward algorithm developed by Clark and Reza-Latif-Shabgahi bottom-up method in determining the minimal cut-sets of the modified fault tree of pipeline failure in the Niger Delta region of Nigeria occasioned by third party activity. It employs the bottom –up technique, producing a table containing the cut – sets for each event in the tree. In
all, fifty-two basic events interconnected by six AND logic gates and twenty-one OR logic gates, were analyzed resulting in thirty minimal First-order cut sets, twelve minimal Thirdorder cut sets and sixteen Fourth-order minimal cut sets. Of importance is the twenty-eight minimal First cut sets since higher order cut sets have lower possibility of  occurrences.

Keywords: Fault tree, event, codes, Minimal cut-set, Binary code.


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eISSN: 1116-4336