ISSN: 2455-7749

**
Santosh Kumar **
Department of Mathematics and Statistics, University of Melbourne, Parkville, Victoria, Australia.

**
Elias Munapo **
School of Economics and Decision Sciences, North West University, Mafikeng Campus, Mafikeng, South Africa.

**
â€˜Maseka Lesaoana **
Department of Statistics and Operations Research, School of Mathematical and Computer Sciences, University of Limpopo, Turf loop Campus Private Bag X1106, Sovenga 0727, South Africa.

**
Philimon Nyamugure **
Department of Statistics and Operations Research, National University of Science and Technology, PO Box AC939, Ascot, Bulawayo, Zimbabwe.

**
Nidhi Agarwal **
Government Girls Senior Secondary School, Kota, Rajasthan, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2017.2.4-017

Received on November 27, 2016

;
Accepted on December 26, 2016

**Abstract**

This paper considers a conventional linear programming model of â€˜nâ€™ variables and â€˜mâ€™ constraints. In the proposed method, we deal with n_1 number of variables, where n_1â‰¤n and use a strategic move to reduce the feasible convex search space before embarking on the simplex method. The feasible space reduction process can be repeated, if desired.

**Keywords-** Linear programming model, Simplex method, Feasible space reduction, Reduced number of variables.

**Citation**

Kumar, S., Munapo, E., Lesaoana, â., Nyamugure, P., & Agarwal, N. (2016). A Hybrid Strategy for Reducing Feasible Convex Space and the Number of Variables for Solving a Conventional Large LP Model. *International Journal of Mathematical, Engineering and Management Sciences*, *2*(4), 213-230. https://dx.doi.org/10.33889/IJMEMS.2017.2.4-017.

**Conflict of Interest**

**Acknowledgements**

We are thankful to the referee for constructive suggestions.

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