Other language title :
ﻣﺪل ﺟﺪﯾﺪ رﯾﺎﺿﯽ ﺑﺮاي ﺑﺮﻧﺎﻣﻪرﯾﺰي ﺗﻮﻟﯿﺪ در روش اﺳﺘﺨﺮاج ﺗﺨﺮﯾﺐ در ﻃﺒﻘﺎت ﻓﺮﻋﯽ
Title of article :
A New Mathematical Model for Production Scheduling in Sub-level Caving Mining Method
Author/Authors :
Shenavar, M Faculty of Mining and Metallurgy Engineering - Amirkabir University of Technology - Tehran, Iran , Ataee-pour, M Faculty of Mining and Metallurgy Engineering - Amirkabir University of Technology - Tehran, Iran , Rahmanpour, M School of mining - college of engineering - University of Tehran, Iran
Abstract :
Production scheduling in underground mines is still a manual process, and achieving a
truly optimal result through manual scheduling is impossible due to the complexity of the
scheduling problems. Among the underground mining methods, sub-level caving is a
common mining method with a high production rate for hard rock mining. There are
limited studies about long-term production scheduling in the sub-level caving method. In
this work, for sub-level caving production scheduling optimization, a new mathematical
model with the objective of net present value (NPV) maximization is developed. The
general technical and operational constraints of the sub-level caving method such as
opening and developments, production capacity, sub-level mining geometry, and ore
access are considered in this model. Prior to the application of the scheduling model, the
block model is processed to remove the unnecessary blocks. For this purpose, the floating
stope algorithm is applied in order to determine the ultimate mine boundary and reduce
the number of blocks that consequently reduces the running time of the model. The model
is applied to a bauxite mine block model and the maximum NPV is determined, and then
the mine development network is designed based on the optimal schedule
Farsi abstract :
ﺑﺮﻧﺎﻣﻪرﯾﺰي ﺗﻮﻟﯿﺪ در ﻣﻌﺎدن زﯾﺮزﻣﯿﻨﯽ ﻫﻤﭽﻨﺎن ﺑﻪ ﺻــﻮرت دﺳــﺘﯽ اﻧﺠﺎم ﻣﯽﺷــﻮد و ﺑﺎ ﺗﻮﺟﻪ ﺑﻪ ﻣﺎﻫﯿﺖ ﭘﯿﭽﯿﺪه ﻣﺴــﺎﺋﻞ ﺑﺮﻧﺎﻣﻪرﯾﺰي ﺗﻮﻟﯿﺪ، دﺳــﺘﯿﺎﺑﯽ ﺑﻪ ﻧﺘﯿﺠﻪ ﺑﻬﯿﻨﻪ واﻗﻌﯽ از ﻃﺮﯾﻖ ﺑﺮﻧﺎﻣﻪرﯾﺰي دﺳﺘﯽ ﻏﯿﺮﻣﻤﮑﻦ اﺳﺖ. در ﻣﯿﺎن روشﻫﺎي اﺳﺘﺨﺮاج زﯾﺮزﻣﯿﻨﯽ، روش ﺗﺨﺮﯾﺐ در ﻃﺒﻘﺎت ﻓﺮﻋﯽ ﯾﮏ روش اﺳﺘﺨﺮاج راﯾﺞ ﺑﺎ ﻧﺮخ ﺗﻮﻟﯿﺪ ﺑﺎﻻ ﺑﺮاي اﺳــﺘﺨﺮاج ﺳــﻨﮓﻫﺎي ﺳــﺨﺖ اﺳــﺖ. ﺗﺎ ﮐﻨﻮن ﻣﻄﺎﻟﻌﺎت ﻣﺤﺪودي ﺑﺎ ﻣﻮﺿــﻮع ﺑﺮﻧﺎﻣﻪرﯾﺰي ﺗﻮﻟﯿﺪ ﺑﺮاي روش ﺗﺨﺮﯾﺐ در ﻃﺒﻘﺎت ﻓﺮﻋﯽ اﻧﺠﺎم ﺷــﺪه اﺳــﺖ و در اﯾﻦ ﺗﺤﻘﯿﻖ، ﯾﮏ ﻣﺪل رﯾﺎﺿــﯽ ﺟﺪﯾﺪ ﺑﺎ ﻫﺪف ﺣﺪاﮐﺜﺮ ﮐﺮدن ارزش ﺧﺎﻟﺺ ﻓﻌﻠﯽ )NPV( ﻣﻨﺎﺳــﺐ ﺑﺮاي روش ﺗﺨﺮﯾﺐ در ﻃﺒﻘﺎت ﻓﺮﻋﯽ ﺗﻮﺳــﻌﻪ داده ﺷــﺪه اﺳــﺖ. در اﯾﻦ ﻣﺪل رﯾﺎﺿﯽ، ﻣﺤﺪودﯾﺖﻫﺎي ﻓﻨﯽ و ﻋﻤﻠﯿﺎﺗﯽ ﻣﺎﻧﻨﺪ ﺑﺎزﮐﻨﻨﺪهﻫﺎ و آﻣﺎدهﺳﺎزيﻫﺎ، ﻇﺮﻓﯿﺖ ﺗﻮﻟﯿﺪ، ﻫﻨﺪﺳﻪ روش اﺳﺘﺨﺮاج و دﺳﺘﺮﺳﯽ ﺑﻪ ﻣﺎده ﻣﻌﺪﻧﯽ در ﻧﻈﺮ ﮔﺮﻓﺘﻪ ﺷﺪه اﻧﺪ. در اﯾﻦ ﻣﺪل رﯾﺎﺿــﯽ و ﺑﺮاي ﮐﺎﻫﺶ ﺗﻌﺪاد ﺑﻠﻮكﻫﺎي ﻣﻮرد ﭘﺮدازش ﺑﻪ ﻣﻨﻈﻮر ﮐﺎﻫﺶ زﻣﺎن اﺟﺮاي ﻣﺪل، اﺑﺘﺪا ﺑﺎ اﺳــﺘﻔﺎده از اﻟﮕﻮرﯾﺘﻢ ﮐﺎرﮔﺎه ﺷــﻨﺎور ﺑﻠﻮكﻫﺎي ﻏﯿﺮ ﺿــﺮوري ﺣﺬف و ﻣﺤﺪودهﻧﻬﺎﯾﯽ ﻣﻌﺪن ﺗﻌﯿﯿﻦ ﻣﯽﺷــﻮد. در اﯾﻦ ﺗﺤﻘﯿﻖ، ﻣﺪل اراﺋﻪ ﺷــﺪه ﺑﺮ روي ﻣﺪل ﺑﻠﻮﮐﯽ ﯾﮏ ﻣﻌﺪن ﺑﻮﮐﺴــﯿﺖ اﺟﺮا، ﺑﯿﺸــﯿﻨﻪ ارزش ﺧﺎﻟﺺ ﻓﻌﻠﯽ ﻣﺤﺎﺳﺒﻪ و ﺑﺮﻧﺎﻣﻪرﯾﺰي ﺗﻮﻟﯿﺪ آن ﺗﻌﯿﯿﻦ ﺷﺪ و ﺳﭙﺲ ﺑﺮ اﺳﺎس ﺑﺮﻧﺎﻣﻪرﯾﺰي ﺗﻮﻟﯿﺪ ﺑﻬﯿﻨﻪ ﺑﻪ دﺳﺖ آﻣﺪه ﺑﺮﻧﺎﻣﻪرﯾﺰي آﻣﺎدهﺳﺎزيﻫﺎي ﻣﻌﺪن اﻧﺠﺎم ﮔﺮﻓت
Keywords :
Mathematical Modeling , linear Programming , Underground Mining , Sub-level Caving , Production Scheduling , Optimization , Net present value
Journal title :
Journal of Mining and Environment