Great Deluge Algorithm for the Linear Ordering Problem

dc.contributor.authorMathias, Amos
dc.contributor.authorMushi, Allen
dc.date.accessioned2018-11-23T07:03:42Z
dc.date.available2018-11-23T07:03:42Z
dc.date.issued2015
dc.description.abstractGiven a weighted complete digraph, the Linear Ordering Problem (LOP) consists of finding and acyclic tournament with maximum weight. It is sometimes referred to as triangulation problem or permutation problem depending on the context of its application. This study introduces an algorithm for LOP and applied for triangulation of Tanzanian Input-Output tables. The algorithm development process uses Great Deluge heuristic method. It is implemented using C++ programming language and tested on a personal computer with 2.40GHZ speed processor. The algorithm has been able to triangulate the Tanzanian input-output tables of size 79×79 within a reasonable time (1.17 seconds). It has been able to order the corresponding economic sectors in the linear order, with upper triangle weight increased from 585,481 to 839,842 giving the degree of linearity of 94.3%.en_US
dc.identifier.issn2074-9015
dc.identifier.urihttp://hdl.handle.net/20.500.11810/5008
dc.language.isoenen_US
dc.publisherInternational Journal of Information Technology and Computer Scienceen_US
dc.relation.ispartofseries;DOI: 10.5815/ijitcs.2015.07.04
dc.subjectOptimization, Linear Ordering, Input-Output Tables, Great Deluge Algorithmen_US
dc.titleGreat Deluge Algorithm for the Linear Ordering Problemen_US
dc.title.alternativeThe Case of Tanzanian Input-Output Tableen_US
dc.typeJournal Articleen_US
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