Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines

Generating a production schedule that will provide optimal operating strategies without all technical and operational constraints is not practical. Creating such models with considering NPV as objective function result to oversize mathematical problems which needs more CPU time. This paper developed...

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Main Author: farshad nejadshahmohammad
Format: Article
Language:fas
Published: Semnan University 2019-04-01
Series:مجله مدل سازی در مهندسی
Subjects:
Online Access:https://modelling.semnan.ac.ir/article_3817_19911ff579c13e897cae775edf05cf0f.pdf
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author farshad nejadshahmohammad
author_facet farshad nejadshahmohammad
author_sort farshad nejadshahmohammad
collection DOAJ
description Generating a production schedule that will provide optimal operating strategies without all technical and operational constraints is not practical. Creating such models with considering NPV as objective function result to oversize mathematical problems which needs more CPU time. This paper developed a multi-index clustering algorithm to reduce the size of the large-scale mathematical problems by reducing the number of decisions variables. By the way the presented algorithm remove dependency to weight importance coefficients and marks the planning with minimum error and significant reduction in the size of the model and solving time. In application and comparison of the presented clustering technique, 2478 extraction block aggregated in first step in 10 clusters, and in second step in 40 and finally in 109 clusters. By using CPLEX and MATLAB the MILP models of clusters and extraction block created to evaluate the clustering technique. The results show that CPU time has 86% reduction whereas the NPV only show 1.8% difference between clusters and block models.
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spelling doaj.art-191890faf82d41ffb2d25f3a2f7cc6c52024-02-23T19:06:03ZfasSemnan Universityمجله مدل سازی در مهندسی2008-48542783-25382019-04-01175626727910.22075/jme.2018.14069.13833817Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Minesfarshad nejadshahmohammad0Mining engineering- High education center of shahid bakeri- Urmia universityGenerating a production schedule that will provide optimal operating strategies without all technical and operational constraints is not practical. Creating such models with considering NPV as objective function result to oversize mathematical problems which needs more CPU time. This paper developed a multi-index clustering algorithm to reduce the size of the large-scale mathematical problems by reducing the number of decisions variables. By the way the presented algorithm remove dependency to weight importance coefficients and marks the planning with minimum error and significant reduction in the size of the model and solving time. In application and comparison of the presented clustering technique, 2478 extraction block aggregated in first step in 10 clusters, and in second step in 40 and finally in 109 clusters. By using CPLEX and MATLAB the MILP models of clusters and extraction block created to evaluate the clustering technique. The results show that CPU time has 86% reduction whereas the NPV only show 1.8% difference between clusters and block models.https://modelling.semnan.ac.ir/article_3817_19911ff579c13e897cae775edf05cf0f.pdfclusteringmulti-similarity indexproduction schedulingmilpopen pit and underground mines
spellingShingle farshad nejadshahmohammad
Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines
مجله مدل سازی در مهندسی
clustering
multi-similarity index
production scheduling
milp
open pit and underground mines
title Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines
title_full Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines
title_fullStr Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines
title_full_unstemmed Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines
title_short Development of Multi-similarity index Clustering algorithm in Mathematical Modelling of Mines
title_sort development of multi similarity index clustering algorithm in mathematical modelling of mines
topic clustering
multi-similarity index
production scheduling
milp
open pit and underground mines
url https://modelling.semnan.ac.ir/article_3817_19911ff579c13e897cae775edf05cf0f.pdf
work_keys_str_mv AT farshadnejadshahmohammad developmentofmultisimilarityindexclusteringalgorithminmathematicalmodellingofmines