Software Application in Mining Engineering
Mahrous A.M. Ali1
1Al-Azhar University, Qena, Egypt
Min. miner. depos. 2018, 12(1):48-53
Full text (PDF)
Purpose. The main purpose is solving transportation problems using some methods of transportation modeling by linear programming. Linear programming has already demonstrated its value as an aid to making decisions in mining, business, industry, and governmental applications. This paper discusses how to solve transportation problems using manual solution method and computer software solutions. The transportation model deals with a special case of linear programming problems whose objective is to “transport” a single commodity from various “points of departure” to different “destinations” at minimum total cost.
Methods. In this paper, we used manual and computer software to solve many problems in mining engineering.
Findings. The optimum solution for the problems occurring in the mine site, which will apply for future problems in different conditions, has been obtained. It was proved that results are identical because they produce the same effect when solving the problem using the following five methods: northwest corner method; minimum cost method; row minimum cost method; column minimum cost method, and Vogel’s approximation method.
Originality. The new trend is how to use computer application in solving all mining problems and obtain the optimum solution for any problem considering the constraints.
Practical implications. All the suggested solutions are optimum ways to solve mining problems which can be applied to any problem beyond the studied field.
Keywords: transportation problem, linear programming, Microsoft Excel solver, Lindo software
Abdelkhalik, A.S., & Mostafa, M.M. (1977). Some Technico-Economical Factors Affecting the Cost and Evaluation of Some Phosphate Ores. In First Conference of Mining and Metallurgical Technology (pp. 107-109). Assiut, Egypt: Assiut University.
Ali, M.A.M. (2007). Design and Planning of Some Building Materials Quarries for Different Purposes in Sohag and Quena Governorates. PhD. Assiut, Egypt: Assiut University.
Ali, M.A.M., & Sik, Y.H. (2012). Transportation Problem: A Special Case for Linear Programing Problems in Mining Engineering. International Journal of Mining Science and Technology, 22(3), 371-377.
Antipin, A.S., & Khoroshilova, E.V. (2015). Linear Programming and Dynamics. Ural Mathematical Journal, (1), 3-19.
Astola, H., & Tabus, I. (2016). On the Linear Programming Bound for Linear Lee Codes. SpringerPlus, 5(1).
Da Gama, C.D. (2013). Easy Profit Maximization Method for Open-Pit Mining. Journal of Rock Mechanics and Geotechnical Engineering, 5(5), 350-353.
David, G.L. (1984). Linear and Non Linear Programming. Stanford, California: Addison-Wesley Publishing Company.
El-Beblawi, M., Mohamed, A.Y., El-Sageer, H., & Mahrous, A.M. (2007). Comparison Between Some Methods Used in Solving Transportation Problems. In The 10th International Mining, Petroleum and Metallurgical Engineering Conference March (pp. 290-300). Suez, Egypt: Suez University.
Gomah, T.I.G.E.M., & Samy, I. (2009). Solving Transportation Problem Using Object-Oriented Model. International Journal of Computer Science and Network Security, (9), 355-361.
Ilich, N. (2008). Shortcomings of Linear Programming in Optimizing River Basin Allocation. Water Resources Research, 44(2), 1-14.
Loomba, N.P. (1964). Linear Programming: An Introductory Analysis. New York, United States: McGraw-Hill.
Peter, W. (2005). Linear Optimization with Microsoft Excels. Ontario, Canada: Faculty of Mathematics University of Waterloo.
Qi, Z., Tian, Y., & Shi, Y. (2012). Regularized Multiple Criteria Linear Programming via Linear Programming. Procedia Computer Science, (9), 1234-1239.
Rao, S.S. (1978). Optimization Theory and Application. New Delhi, India: Wiley Eastern Limited.
Reeb, J., & Leavengood, S. (2001). Transportation Problem: A Special Case for Linear Programming Problems. Operation research Society of America, 1-35.
Saul, I.G. (1957). Linear Programming-Methods and Applications. New York, United States: McGraw-Hill.
Shalaby, Z. (2000). Solving Linear Programming Models by Spreadsheet Software Packages. Journal of King Abdulaziz University-Economics and Administration, 14(2), 3-9.
Waqar Ali Asad, M., & Dimitrakopoulos, R. (2012). Optimum Production Scale of Open Pit Mining Operations with Uncertain Metal Supply and Long-Term Stockpiles. Resources Policy, 37(1), 81-89.