OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING
Elbeblawi, M., Ahmed, M., Hassan, S., Ateto, A. (2021). OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING. EKB Journal Management System, 16(61), 1224-1238. doi: 10.21608/auej.2021.207684
Mostafa Elbeblawi; Mahmoud M Ahmed; Solaiman S Hassan; Amr G Ateto. "OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING". EKB Journal Management System, 16, 61, 2021, 1224-1238. doi: 10.21608/auej.2021.207684
Elbeblawi, M., Ahmed, M., Hassan, S., Ateto, A. (2021). 'OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING', EKB Journal Management System, 16(61), pp. 1224-1238. doi: 10.21608/auej.2021.207684
Elbeblawi, M., Ahmed, M., Hassan, S., Ateto, A. OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING. EKB Journal Management System, 2021; 16(61): 1224-1238. doi: 10.21608/auej.2021.207684

OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING

Journal of Al-Azhar University Engineering Sector
Article 18, Volume 16, Issue 61, October 2021, Page 1224-1238  XML PDF (1002.79 K)
Document Type: Original Article
DOI: 10.21608/auej.2021.207684
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Authors
Mostafa Elbeblawi1; Mahmoud M Ahmed1; Solaiman S Hassan2; Amr G Ateto3
1Department of Mining and Metallurgical, Faculty of Engineering, Assiut University, Egypt.
2Economics and Public Finance, Faculty of Commerce, Assiut University, Egypt.
3Department of Mining and Metallurgical, Faculty of Engineering, Assiut University, Egypt
Abstract
 
Blending operation of different grades of ores is performed to maintain the rich part of ore as much as possible. The purpose of this paper is to find the optimum solution of blending operation of phosphate ore applying linear programming using Excel Solver Spreadsheet Software Packages. Optimization process was applied to three phosphate mines based on selling price as a control factor. The same mines were optimized in another way taking profit in the objective function of the blending process. The obtained results gave the same blending percentages with the two options. There is a big difference in the gained profit up to 18 million dollars when the selling price option was applied as a control factor. On the other hand, seven stockpiles of phosphate ore; each has quantity and average grade extracted and accumulated from different mines. The final profit calculated from the option of selling price as a control factor was 360 thousand dollars higher than the one estimated when profit control factor was used.
 
يتم إجراء عملية خلط درجات مختلفة من الخامات للحفاظ على الجزء الغني من الخام قدر الإمکان. الغرض من هذا البحث هو إيجاد الحل الأمثل لعملية خلط خام الفوسفات بتطبيق البرمجة الخطية باستخدام حزم برامج جداول بيانات Excel Solver. تم تطبيق نموذج البرمجة الخطية مرتين، الاولى على ثلاثة مناجم وهي بدر وأم سلمةوأم حجارة في منطقة السباعية بأدفو محافظة اسوان ثم على سبعة تشوينات لخام الفوسفات تابعة لشرکة النصر للتعدين فيمنطقة الحمراوين بالبحر الاحمر. في المرة الاولى تم تطبيق النموذج لتحديد الحل الامثل لخلط الخامات من المناجم الثلاثة اعتمادا على سعر البيع کمحدد في دالة الهدف کما في الدراسات السابقة واعتمادا على الربح کمحدد لدالة الهدف للمقارنة بين المحددين. عند استخدام الربح في دالة الهدف، تم الحصول على نسب خلط مختلفة بينما أعطى الحل الأمثل فرقًا کبيرًا بنحو 18 مليون دولار أقل من حالة استخدام سعر البيع في دالة الهدف.
Keywords
Optimization, phosphate; Linear programming; solver; blending; stockpiles البدائل المثلى،الفوسفات؛ البرمجة الخطية؛ الخلط
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