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Given a weighted complete digraph, the Linear\udOrdering Problem (LOP) consists of finding and acyclic\udtournament with maximum weight. It is sometimes referred to\udas triangulation problem or permutation problem depending on\udthe context of its application. This study introduces an\udalgorithm for LOP and applied for triangulation of Tanzanian\udInput-Output tables. The algorithm development process uses\udGreat Deluge heuristic method. It is implemented using C++\udprogramming language and tested on a personal computer with\ud2.40GHZ speed processor. The algorithm has been able to\udtriangulate the Tanzanian input-output tables of size 79×79\udwithin a reasonable time (1.17 seconds). It has been able to\udorder the corresponding economic sectors in the linear order,\udwith upper triangle weight increased from 585,481 to 839,842\udgiving the degree of linearity of 94.3%

Great Deluge Algorithm for the Linear Ordering Problem: The Case of Tanzanian Input-Output Table