Optimizing Mine Ventilation Systems: An Advanced Mixed-Integer Linear Programming Model

Deyun Zhong, Lixue Wen, Yulong Liu, Zhaohao Wu () and Liguan Wang
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Deyun Zhong: State Key Laboratory for Fine Exploration and Intelligent Development of Coal Resources, China University of Mining and Technology, No. 1 University Road, Xuzhou 221116, China
Lixue Wen: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Yulong Liu: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Zhaohao Wu: School of Resources and Safety Engineering, Central South University, Changsha 410083, China
Liguan Wang: Changsha DIMINE Co., Ltd., Changsha 410221, China

Mathematics, 2025, vol. 13, issue 18, 1-19

Abstract: In the underground mine ventilation area, the absence of robust solutions for nonlinear programming models has impeded progress for decades. To overcome the enduring difficulty of solving nonlinear optimization models for mine ventilation optimization, a major technical bottleneck, we first develop an advanced linear optimization technique. This method transforms the nonlinear ventilation optimization and regulation model into a linear control model, avoiding the limitation of difficulty in solving the nonlinear mathematical model. The linear strategy opens up a new solution idea for the nonlinear calculation of the mine ventilation optimization and regulation. Furthermore, this study introduces evaluation metrics for ventilation scheme quality, including minimal energy consumption, fewest adjustment points, and optimal placement of these points, enhancing flexibility in ventilation network optimization. By analyzing the ventilation model control objectives and constraints, we formulated a linear optimization model and developed a multi-objective mixed-integer programming model for ventilation network optimization. This paper constructs and verifies a calculation example model for mine ventilation optimization, assessing its reliability based on airflow distribution calculations.

Keywords: mine ventilation; mathematical optimization; mixed integer programming; ventilation optimization; airflow regulation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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