Annual Production Plan of Mine Based on Linear Programming
Abstract: In order to solve the difficulty of the arrangement of ore production at each mine site during the transition from open pit to underground mining in Shirengou iron mine. Taking the largest amount of mining as the objective function, each deposit storage capacity, ore dilution rate, ore loss rate and grade as the constraints, thus the linear programming model was established and solved by lingo considering the balance between reserve and production ratio. The optimal number of each mining area mining was obtained, providing a theoretical basis for raising the overall economic benefits of mining transition period.

1. 引言

2. 模型建立

2.1. 目标函数确定

$\text{Max}N=\underset{i=1}{\overset{n}{\sum }}{x}_{i}$ (1)

2.2. 年产量约束

$\underset{i=1}{\overset{n}{\sum }}{x}_{i}\le O$ (2)

2.3. 储采比约束

${S}_{i\mathrm{min}}\le {x}_{i}\le {S}_{i\mathrm{max}}$ (3)

$\left\{\begin{array}{l}{S}_{i\mathrm{min}}=\frac{{p}_{i}×{s}_{i}}{k}\\ {S}_{i\mathrm{max}}={s}_{i}-\frac{{p}_{i}×{s}_{i}}{k}\end{array}$ (4)

2.4. 矿石损失率约束

$\frac{\underset{i=1}{\overset{n}{\sum }}{L}_{i}×{x}_{i}}{\underset{i=1}{\overset{n}{\sum }}{x}_{i}}\le {L}_{\mathrm{max}}$ (5)

2.5. 矿石贫化率约束

$\frac{\underset{i=1}{\overset{n}{\sum }}{D}_{i}×{x}_{i}}{\underset{i=1}{\overset{n}{\sum }}{x}_{i}}\le {D}_{\mathrm{max}}$ (6)

2.6. 品位约束

${T}_{\mathrm{min}}\le \frac{\underset{i=1}{\overset{n}{\sum }}{T}_{i}×{x}_{i}}{\underset{i=1}{\overset{n}{\sum }}{x}_{i}}$ (7)

2.7. 开采成本约束

$\frac{\underset{i=1}{\overset{n}{\sum }}{M}_{i}×{x}_{i}}{\underset{i=1}{\overset{n}{\sum }}{x}_{i}}\le {M}_{\mathrm{max}}$ (8)

3. 模型求解

4. 结论

Cite this paper: Jiang, S. , Zhang, Z. and Sang, Q. (2018) Annual Production Plan of Mine Based on Linear Programming. Open Access Library Journal, 5, 1-6. doi: 10.4236/oalib.1104651.
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