Use of Linear Programming for Optimal Production in a Production Line in Saudi Food Co.

Authors: Qasim M. Kriri

Abstract:

Few Saudi Arabia production companies face financial profit issues until this moment. This work presents a linear integer programming model that solves a production problem of a Saudi Food Company in Saudi Arabia. An optimal solution to the above-mentioned problem is a Linear Programming solution. In this regard, the main purpose of this project is to maximize profit. Linear Programming Technique has been used to derive the maximum profit from production of natural juice at Saudi Food Co. The operations of production of the company were formulated and optimal results are found out by using Lindo Software that employed Sensitivity Analysis and Parametric linear programming in order develop Linear Programming. In addition, the parameter values are increased, then the values of the objective function will be increased.

Keywords: Parameter linear programming, objective function, sensitivity analysis, optimize profit.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1316658

References:

[1] Al Rabie Food Co, http://www.alrabie.com/english/products.php?id=28-local
[2] Fagoyinbo S., Akinbo Y., Ajibode A., and Olaniran A. (2013). Maximization of profit in manufacturing industry using linear programming techniques: Nigeria limited. Proceedings of the 1st International Technology, Education and Environment Conference.
[3] Divya N., (2016). Some Applications of Simplex Method. International Journal of Engineering Research and Reviews ISSN 2348-697X (Online) Vol. 4, Issue 1, pp: (60-63), Month: January - March 2016, Available at: www.researchpublish.com.
[4] Saurav D. and Ashish S, (2016). Sensitivity analysis and optimal production scheduling as a dual phase simplex model. Indian journal of science and technology, vol 9(39), doi: 10.17485/ijst/2016/v9i39/100788, October 2016.
[5] Huang, Rujun, Lou, Xinyuan (2012), A Simplex Based Parametric Programming Method for the Large Linear Programming Problem. Proceeding of the International Multiconference of Engineers and computer scientists 2012 Vol II, IMECS 2012, March 14-16,2012, Hong Kong ISBN: 978-988-19251-9-0.
[6] Iheagwara, I., Opara, J., Esemokumo, A., and Lebechi I. (2014). Application of Linear Programming Problem on Niger Mills Company PLC Calabar. International Journal of Innovation and Research in Educational Sciences Volume 1, Issue 2, ISSN (Online): 2349–5219.
[7] Al-kuhali K, Zain M., & Hussein M. (2012). Production Planning of LCDs: Optimal Linear Programming and Sensitivity Analysis. ISSN 2224-6096 (Paper) ISSN 2225-0581 (online) Vol 2, No.9, 2012.
[8] Rob A. Zuidwijk. (2005). Linear Parametric Sensitivity Analysis of the Constraint Coefficient Matrix in Linear Programs. ERIM Report Series reference number ERS-2005-055-LIS, Publication October 2005.
[9] Cohon, J. L. (1979) Multi-objective programming and planning, Academic Press New York, 1979.