Ultimate Pit Limit Optimization using Boykov-Kolmogorov Maximum Flow Algorithm

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Mwangi Akisa David; Jianhua Zhang; Gang Huang; Kasomo Richard Muthui; Innocent Matidza Mulalo

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Journal Paper

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Journal: JOURNAL OF MINING AND ENVIRONMENTAL (INTERNATIONAL JOURNAL OF MINING & ENVIRONMENTAL ISSUES) Year:2021 | Volume:12 | Issue:1 Page(s): 1-13

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Title

Ultimate Pit Limit Optimization using Boykov-Kolmogorov Maximum Flow Algorithm

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Keywords

Boykov-Kolmogorov algorithm

Maximum flow

Pseudo-flow

Push-Relabel

Ultimate pit limit

Abstract

The Ultimate pit limit optimization (UPLO) serves as an important step in the mine planning process. Various approaches of Maximum flow algorithms such as pseudoflow and Push-Relabel have been used for pit optimization, and have given good results. The Boykov-Kolmogorov (BK) Maximum flow algorithm has been used in solving the computer vision problems and has given great practical results but it has never been applied in UPLO. In this work, we formulate and use the BK Maximum flow algorithm and the Push-Relabel Maximum flow algorithm in MATLAB Boost Graph Library within the MATLAB software in order to perform UPLO in two case studies. Comparing both case studies for the BK Maximum flow algorithm and pushrelabel Maximum flow algorithm gives the same maximum pit values but the BK Maximum flow algorithm reduces the time consumed by 12% in the first case and 16% in the second case. This successful application of the BK Maximum flow algorithm shows that it can also be used in UPLO.

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APA: Copy

Mwangi, Akisa David, Jianhua, Zhang, Gang, Huang, Kasomo, Richard Muthui, & Innocent, Matidza Mulalo. (2021). Ultimate Pit Limit Optimization using Boykov-Kolmogorov Maximum Flow Algorithm. JOURNAL OF MINING AND ENVIRONMENTAL (INTERNATIONAL JOURNAL OF MINING & ENVIRONMENTAL ISSUES), 12(1 ), 1-13. SID. https://sid.ir/paper/662958/en

Vancouver: Copy

Mwangi Akisa David, Jianhua Zhang, Gang Huang, Kasomo Richard Muthui, Innocent Matidza Mulalo. Ultimate Pit Limit Optimization using Boykov-Kolmogorov Maximum Flow Algorithm. JOURNAL OF MINING AND ENVIRONMENTAL (INTERNATIONAL JOURNAL OF MINING & ENVIRONMENTAL ISSUES)[Internet]. 2021;12(1 ):1-13. Available from: https://sid.ir/paper/662958/en

IEEE: Copy

Akisa David Mwangi, Zhang Jianhua, Huang Gang, Richard Muthui Kasomo, and Matidza Mulalo Innocent, “Ultimate Pit Limit Optimization using Boykov-Kolmogorov Maximum Flow Algorithm,” JOURNAL OF MINING AND ENVIRONMENTAL (INTERNATIONAL JOURNAL OF MINING & ENVIRONMENTAL ISSUES), vol. 12, no. 1 , pp. 1–13, 2021, [Online]. Available: https://sid.ir/paper/662958/en

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