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Fig. 3: Solver dialog box According to the previous solution of using maximization of selling price; all quantities of phosphate ores in the three mines will be exploited according to the blending process of the three mines. Because the blending process may be continuous or patch; the obtained quantities can be converted into percentages since the mixing process cannot be done at equal daily portions along the mine life as shown in Table 3. As well as blending process, the obtained percentages are shown in Figure 5.

Figure 3 Solver dialog box According to the previous solution of using maximization of selling price; all quantities of phosphate ores in the three mines will be exploited according to the blending process of the three mines. Because the blending process may be continuous or patch; the obtained quantities can be converted into percentages since the mixing process cannot be done at equal daily portions along the mine life as shown in Table 3. As well as blending process, the obtained percentages are shown in Figure 5.

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Based on profit, the percentages of blending for some grades were as follows; for phosphate grade 31% P205, 90% of the quantity should be taken from stockpile No.1 and 10% from stockpile No.2. A required quantity of phosphate ore with grade 27% P2OS is obtained by mixing 52.5% of the quantity from stockpile No.4, 40% from stockpile No.5 and 7.5% from stockpile No.7. To obtain a phosphate grade of 22% P2O05, 27.6% of the required quantity should be taken from stockpile No.4, 15.6% from stockpile No.6 and 56.8% from stockpile No.7.
Based on profit, the percentages of blending for some grades were as follows; for phosphate grade 31% P205, 90% of the quantity should be taken from stockpile No.1 and 10% from stockpile No.2. A required quantity of phosphate ore with grade 27% P2OS is obtained by mixing 52.5% of the quantity from stockpile No.4, 40% from stockpile No.5 and 7.5% from stockpile No.7. To obtain a phosphate grade of 22% P2O05, 27.6% of the required quantity should be taken from stockpile No.4, 15.6% from stockpile No.6 and 56.8% from stockpile No.7.
Table 1: Reserve and average assay of three mines under study mine has 1488719.9 ton. The average assays of those mines are 30.4%, 29.3% & 25%, respectively a: shown in Table 1. The offers of selling price of phosphate ore according to assay (%P2O05) which ar required for market are tabulated in Table 2.[11] The objective function to maximize blending operation is:
Table 1: Reserve and average assay of three mines under study mine has 1488719.9 ton. The average assays of those mines are 30.4%, 29.3% & 25%, respectively a: shown in Table 1. The offers of selling price of phosphate ore according to assay (%P2O05) which ar required for market are tabulated in Table 2.[11] The objective function to maximize blending operation is:
Table 2: Selling price of phosphate ore according to % P205. For solving this problem to obtain the optimal solution and satisfying the entire product specifications, the following constraints must be achieved:
Table 2: Selling price of phosphate ore according to % P205. For solving this problem to obtain the optimal solution and satisfying the entire product specifications, the following constraints must be achieved:
Table 3: The percentages of phosphate obtained from three mines according to selling price
Table 3: The percentages of phosphate obtained from three mines according to selling price
According to the profit definition, cost per ton of phosphate ore should be included into the objective function. The cost per ton of phosphate ore extracted from three mines is tabulated in Table 4 [12].
According to the profit definition, cost per ton of phosphate ore should be included into the objective function. The cost per ton of phosphate ore extracted from three mines is tabulated in Table 4 [12].
OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING Fig. 4: Optimal solution on selling price-basis of three mines Fig. 1: The percentages of phosphate ore obtained from three mines according to selling price
OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING Fig. 4: Optimal solution on selling price-basis of three mines Fig. 1: The percentages of phosphate ore obtained from three mines according to selling price
Table 5: The optimal solution of maximization of blending process of three mines according to the profit Table 6: The percentages of phosphate obtained from three mines according to profit
Table 5: The optimal solution of maximization of blending process of three mines according to the profit Table 6: The percentages of phosphate obtained from three mines according to profit
Fig. 2: The optimal solution of maximization of blending process of three mines according to the profit Fig. 3: The percentages of phosphate obtained from three mines according to profit
Fig. 2: The optimal solution of maximization of blending process of three mines according to the profit Fig. 3: The percentages of phosphate obtained from three mines according to profit
OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING Table 8: Selling prices of phosphate according to % P2Os The objective function of blending operation of stockpiles according to selling price is as follows:
OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING Table 8: Selling prices of phosphate according to % P2Os The objective function of blending operation of stockpiles according to selling price is as follows:
Fig. 7: Blending percentages of phosphate obtained from phosphate stockpiles Fig. 5: Solver dialog box of optimization of blending operation of stockpiles
Fig. 7: Blending percentages of phosphate obtained from phosphate stockpiles Fig. 5: Solver dialog box of optimization of blending operation of stockpiles
OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING
OPTIMIZATION OF BLENDING OPERATION FOR PHOSPHATE MINES AND STOCKPILES USING LINEAR PROGRAMMING TECHNIQUE IN MINING
Table 9: Blending percentages of phosphate obtained from phosphate stockpiles according to selling price 2.4. Stockpiles optimization according to profit
Table 9: Blending percentages of phosphate obtained from phosphate stockpiles according to selling price 2.4. Stockpiles optimization according to profit
The objective function according to profit can be written as follows: As shown before, it is necessary to use the profit as a controlling factor instead of the selling price for the optimization of blending problem of the stockpiles. The cost per ton of these stockpiles is shown in Table 10 [12].
The objective function according to profit can be written as follows: As shown before, it is necessary to use the profit as a controlling factor instead of the selling price for the optimization of blending problem of the stockpiles. The cost per ton of these stockpiles is shown in Table 10 [12].
Fig. 9: The optimal solution of the optimization blending problem of the stockpiles according to profit For phosphate grade of 31% P20s, 90% of the quantity should be taken from stockpile No. 1 and 10% from stockpile No. 2. For phosphate grade of 30% P2Os, the required quantity is obtained by mixing 90% of the quantity from stockpile No. 2 and 10% from stockpile No. 3. A specified quantity of phosphate ore with grade of 29% P20s, should be composed by blending 90.1% of the quantity from stockpile No. 3 and 9.9% from stockpile No. 4. A required quantity of phosphate ore with grade of 27% P2Os is obtained by mixing 52.5% of the quantity 5, and 7.5% from stockpile No.7. To obtain a phosph from stockpile No. 4, 40% from stockpile No. ate grade of 22% P20s, 27.6% of the required quantity should be taken from stockpile No. 4, 15.6% from stockpile No. 6 and 56.8% from stockpile No. 7.
Fig. 9: The optimal solution of the optimization blending problem of the stockpiles according to profit For phosphate grade of 31% P20s, 90% of the quantity should be taken from stockpile No. 1 and 10% from stockpile No. 2. For phosphate grade of 30% P2Os, the required quantity is obtained by mixing 90% of the quantity from stockpile No. 2 and 10% from stockpile No. 3. A specified quantity of phosphate ore with grade of 29% P20s, should be composed by blending 90.1% of the quantity from stockpile No. 3 and 9.9% from stockpile No. 4. A required quantity of phosphate ore with grade of 27% P2Os is obtained by mixing 52.5% of the quantity 5, and 7.5% from stockpile No.7. To obtain a phosph from stockpile No. 4, 40% from stockpile No. ate grade of 22% P20s, 27.6% of the required quantity should be taken from stockpile No. 4, 15.6% from stockpile No. 6 and 56.8% from stockpile No. 7.
Fig. 10: Blending percentages of stockpiles according to profit Table 11: Blending percentages of stockpiles according to profit
Fig. 10: Blending percentages of stockpiles according to profit Table 11: Blending percentages of stockpiles according to profit
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