scholarly journals Mathematical model and supporting algorithm to aid the sequencing and scheduling of mining with loading equipment allocation

2014 ◽  
Vol 67 (4) ◽  
pp. 379-387
Author(s):  
Arthur Andrade ◽  
Miguel Santoro ◽  
Giorgio de Tomi
Keyword(s):  
Mathematical Model ◽  
Mixed Integer Linear Programming ◽  
Time Horizon ◽  
Open Pit ◽  
Mixed Integer ◽  
Open Pit Mining ◽  
Processing Plant ◽  
Medium Term ◽  
Sequencing And Scheduling ◽  
Plant Capacity

This paper focuses on the sequencing and scheduling problem of open pit mining, with the allocation of loading equipment considering a medium-term horizon. This study considers the existence of a heterogeneous loading equipment fleet and two types of mineable material, namely ore or waste rock. For the mining of ore, the following requirements are taken under consideration: the mixture quality, a crusher, the processing plant capacity and a stockpile, called ROM stockpile. In this context, we present a mathematical model in mixed integer linear programming, supported by an algorithm that is responsible for moving the time horizon at each model run, aiming to generate mining orders resolved with optimality. Together, these orders describe the loading equipment mining plan.

scholarly journals Implementation of a Mathematical Model to Improve Sustainability in the Handling of Transport Costs in a Distribution Network

2019 ◽  
Vol 12 (1) ◽  
pp. 63
Author(s):  
José Manuel Velarde ◽  
Susana García ◽  
Mauricio López ◽  
Alfredo Bueno-Solano
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Integer Linear Programming ◽  
Mixed Integer Linear Programming ◽  
Numerical Study ◽  
Distribution Network ◽  
Transport Cost ◽  
Mixed Integer ◽  
Distribution Area ◽  
Use Of Resources

This work considers the application of a mathematical model using mixed-integer linear programming for the vehicle routing problem. The model aims at establishing the distribution routes departing from a distribution center to each customer in order to reduce the transport cost associated with these routes. The study considers the use of a fleet of different capacities in the distribution network, which presents the special characteristic of a star network and which must meet different efficiency criteria, such as the fulfillment of each customer’s demand, the vehicle carrying capacity, work schedule, and sustainable use of resources. The intention is to find the amount of equipment suitable to satisfy the demand, thus improving the level of customer service, optimizing the use of both human and economic resources in the distribution area, and leveraging maximum vehicle capacity usage. The MILP mixed-integer linear programming mathematical model of the case study is presented, as well as the corresponding numerical study.

scholarly journals Developing a mathematical model to optimize long - term quarrying planing for limestone quarries producing cement in Vietnam

2020 ◽  
Vol 61 (5) ◽  
pp. 58-70
Author(s):  
Bao Dinh Tran ◽  
Trong Dinh Vu ◽  
Viet Van Pham ◽  
Tuan Anh Nguyen ◽  
An Dinh Nguyen ◽  
...  
Keyword(s):  
Mathematical Model ◽  
Mixed Integer Linear Programming ◽  
Raw Materials ◽  
Proper Time ◽  
Mixed Integer ◽  
Decision Variable ◽  
Optimal Method ◽  
Variable Elimination ◽  
Limestone Quarries

Mathematical model researches in optimizing long - term quarrying planning for limestone quarries supplying to the cememt factories have not been popular in Vietnam. The paper shows a mathematical model based on Mixed Integer Linear Programming as well as effective method to cope with long - term quarrying planning for the quarries. Techniques grouping block cells into a mining room and decision variable elimination techniques was employed to reduce the size of the problem. This enable to form an optimal method with proper time. The model and the algorithm are an effective tool to conduct a long - term planning for the quarries, enabling to supply the quatity and quality enough of raw materials to the factory. The model was demonstrated and practically evaluated when being applied and compared with one of the popularly commercial sofwares in mine schedule, GEOVIA Mines.

scholarly journals Analysis of Environmental Costs’ Effect in Green Mining Strategy Using a System Dynamics Approach: A Case Study

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Amir Jafarpour ◽  
Siamak Khatami
Keyword(s):  
System Dynamics ◽  
Large Scale ◽  
Mining Operation ◽  
Open Pit ◽  
Open Pit Mining ◽  
Processing Plant ◽  
Environmental Costs ◽  
Mining Operations ◽  
Factors Affecting

Nowadays, one of the most significant problems in mining activities is the significance of analyzing environmental issues along with mining, concentration, and mineral processing operations to achieve the goals of sustainable development. Nevertheless, mine owners refuse to include environmental costs (EC) and consider them unprofitable. Due to the ever-increasing importance of environmental and social topics in recent years, there is a vital need for assessing the EC and its impact on total mining costs and implementing green strategies by the mining managers and engineers. The current study tries to model the mining cost structure by considering the causal relationships between different factors affecting open-pit mining costs to highlight the EC’s role. Furthermore, this research evaluates the effectiveness of implementing each possible mining green strategy in a large-scale copper mine using the System Dynamics (SD) approach. In this regard, seven scenarios and a combination of different environmental strategies, including mine reclamation, an environmental strategy for a condensation and processing plant, and environmental mining operations, have been considered for the SD-based economic analysis. The simultaneous use of the green mining strategies for the concentration and processing plant (Scenario 4) shows a high impact on cost reduction in the mining operation.

scholarly journals Drive systems of the drilling rigs for open pits in Ukraine: state and ways for improvement

2019 ◽  
Vol 123 ◽  
pp. 01042
Author(s):  
Viktor Khilov ◽  
Nataliia Hlukhova ◽  
Andrii Somin ◽  
Volodymyr Kiiko
Keyword(s):  
Frequency Characteristics ◽  
Open Pit ◽  
Open Pit Mining ◽  
Pass Band ◽  
Processing Plant ◽  
Drilling Process ◽  
Geological Conditions ◽  
Drive Systems ◽  
Drilling Rigs ◽  
Oscillation Frequencies

A comparative analysis is presented of the characteristics of drilling rigs used in open-pit mining in Ukraine. The experimental studies have been conducted of the drive systems and drilling rigs influence on the dynamics of the drilling process under the mining and geological conditions of the Central Mining and Processing Plant (Kryvyi Rih city, Ukraine). The frequency characteristics have been obtained and the dynamic properties of the automated drive systems, as well as frequency characteristics of the rotation mechanism transmissions have been analyzed. The behavior of natural oscillation frequencies in closed control loops of rotational drives was studied, and it has been determined that they exceed the cutoff frequency and fall into the pass band from the attenuation band in frequency-controlled induction motors of most advanced drilling rigs with the maximum number of rods connected in the drill string. It has been established that low oscillation frequencies due to the side frequencies, generated by the drill rod oscillations, fall into the fastest internal current loop. The tasks have been formulated for further research. The purpose of research is to solve the actual scientific and applied problem of dynamic compatibility of frequency characteristics in the modern high speed drive systems with the dynamic characteristics of drilling rigs, which are multi-mass mechanisms with distributed and concentrated parameters with a change in added masses.

Analysis of network design for a circular production system using multi-objective mixed integer linear programming model

2019 ◽  
Vol 30 (3) ◽  
pp. 628-646 ◽  
Author(s):  
K.E.K. Vimal ◽  
Sonu Rajak ◽  
Jayakrishna Kandasamy
Keyword(s):  
Mathematical Model ◽  
Linear Programming ◽  
Integer Linear Programming ◽  
Mixed Integer Linear Programming ◽  
Economic Benefits ◽  
Mixed Integer ◽  
Data Set ◽  
Content Type ◽  
Multi Objective ◽  
Case Organization

PurposeThe purpose of this paper is to propose a mathematical model for the design of a circular production system (CPS) for an Indian manufacturing organization participating in a symbiotic network.Design/methodology/approachA multi-objective mixed integer linear programming is used to model the network for quantifying the economic benefits. The data set collected from the case organization is used. The GAMS optimization package is used to simulate the model.FindingsThe model is able to compute the economic benefit achieved through circular operations in the case organization. The flow of different items through the network is also obtained.Research limitations/implicationsThe data set of the single organization in the symbiotic network is used to validate the proposed mathematical model. Further research can be done considering the all the organizations in the considered symbiotic network.Practical implicationsThis paper will help the authors to better understand the role of sustainable supply chains in a circular economy model especially in energy and materials intensive industries.Originality/valueThis study has uniquely utilized a multi-objective mixed-integer linear programming approach for the analysis of variables in CPSs and the corresponding economic benefits.

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