Work place: Department of Science Mathematics and Technology Education, University of Dodoma, Box 523, Dodoma, Tanzania
E-mail: ms_mathias@yahoo.co.uk
Website:
Research Interests:
Biography
Amos Mathias: A postgraduate student in the Masters of Science in Mathematical modeling programme at the University of Dar es Salaam in Tanzania. Mathias is also working in the Department of Science Mathematics and Technology Education at the University of Dodoma in Tanzania.
By Amos Mathias Allen R. Mushi
DOI: https://doi.org/10.5815/ijitcs.2015.07.04, Pub. Date: 8 Jun. 2015
Given 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%.
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