A G/M/C//M queueing model for revenue management of shovel-truck systems in an open-pit mine considering carbon emission, a case study

IF 3 Q2 OPERATIONS RESEARCH & MANAGEMENT SCIENCE

International Journal of Management Science and Engineering Management Pub Date : 2023-04-03 DOI:10.1080/17509653.2021.2015004

Sina Navidi, Muhammad Motamedi, A. Aghsami, F. Jolai

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引用次数: 5

Abstract

ABSTRACT The main cause of high-operating costs in open-pit mines is the costs of transportation. Therefore, reducing these costs could have a huge impact on overall mining efficiency and increasing profit. Meanwhile, the high cost of mining equipment, such as shovels and trucks, indicates the necessity of meticulous decision-making to find the optimal shovel-truck combination. In this paper, a new profit function for investing operations in open-pit mines is proposed using queueing theory based on a novel G/M/C//M queueing model. This function tries to maximize profit while considering budget constraints, equipment’s price, and other costs such as occupied servers, idle shovels, service in the queue, and CO2 emission. The proposed model is solved by GAMS software for small-sized instances, and Grasshopper Optimization Algorithm (GOA) is used as a meta-heuristic approach for large-scale problems. Numerical and computational results are provided to prove the efficiency and feasibility of the model. Finally, the presented model is implemented to Chadormalu mine in Iran as a case study.

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考虑碳排放的露天矿铲车系统收益管理的G/M/C//M排队模型及实例研究

露天矿运营成本高的主要原因是运输成本。因此，降低这些成本可能会对整体采矿效率和增加利润产生巨大影响。同时，挖掘机和卡车等采矿设备的高成本表明，必须进行细致的决策，以找到最佳的挖掘机-卡车组合。本文在一个新的G/M/C//M排队模型的基础上，利用排队理论，提出了一个露天矿投资运营的新利润函数。该功能试图在考虑预算限制、设备价格和其他成本（如占用的服务器、闲置的铲子、排队服务和二氧化碳排放）的同时实现利润最大化。所提出的模型由GAMS软件用于小型实例求解，Grasshopper优化算法（GOA）用作大型问题的元启发式方法。数值和计算结果证明了该模型的有效性和可行性。最后，以伊朗Chadormalu矿为例进行了实例分析。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

International Journal of Management Science and Engineering Management OPERATIONS RESEARCH & MANAGEMENT SCIENCE-

CiteScore

8.50

自引率

33.30%

发文量

期刊介绍： International Journal of Management Science and Engineering Management (IJMSEM) is a peer-reviewed quarterly journal that provides an international forum for researchers and practitioners of management science and engineering management. The journal focuses on identifying problems in the field, and using innovative management theories and new management methods to provide solutions. IJMSEM is committed to providing a platform for researchers and practitioners of management science and engineering management to share experiences and communicate ideas. Articles published in IJMSEM contain fresh information and approaches. They provide key information that will contribute to new scientific inquiries and improve competency, efficiency, and productivity in the field. IJMSEM focuses on the following: 1. identifying Management Science problems in engineering; 2. using management theory and methods to solve above problems innovatively and effectively; 3. developing new management theory and method to the newly emerged management issues in engineering; IJMSEM prefers papers with practical background, clear problem description, understandable physical and mathematical model, physical model with practical significance and theoretical framework, operable algorithm and successful practical applications. IJMSEM also takes into account management papers of original contributions in one or several aspects of these elements.