Modified Simplex Splitting Algorithm for Finding Feasible Solution of Systems of Linear Inequalities

E. O. Effanga, Z. Lipcsey, M. E. Nja

Abstract


In this paper the existing simplex splitting algorithm for finding a feasible solution of systems of linear inequalities is modified by evolving a vertex-determination technique. The existing algorithm cannot determine when the system of linear inequalities is infeasible hence the need for a modification. The modified algorithm is able to determine the feasible solution whenever it exists and to detect infeasibility whenever it occurs. The modified algorithm is tested on a problem that has a feasible solution and also on a problem that has no feasible solution and is found to work perfectly well.

Full Text: PDF DOI: 10.5539/jmr.v4n1p116

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Journal of Mathematics Research   ISSN 1916-9795 (Print)   ISSN 1916-9809 (Online)

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