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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.15mm Pine Wood Core Block Board for Construction(SRA) and multiple regression analysis (MRA). Thirty-seven major flotation machines were analysed for this purpose. Depending on the machinery type, different technical variables such as diameter, required air flow rate, required floor space,The New Natural Mahogany Okoume Veneer, required air pressure, and power were considered as predictor variables, individually (in SRA) or simultaneously (in MRA). Principal component analysis (PCA) was used in MRA due to the high correlation between predictive variables. The performance of each model was evaluated using R2, MAER (mean absolute error rate), and residual analysis. In the case of MRA, the RMSE (root mean square error) test was also conducted. Maximum obtained MAER of 13.5% and minimum R2of 0.Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial, sizing, concentration, extractive metallurgical processes, and dewatering. Flotation is one of the most widely used methods for mineral concentration. Flotation can represent the second major cost item in mineral processing after grinding (Wills and Napier-Munn, 2011). Accordingly,2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles. In any equipment selection, several interactions between engineering and economic considerations must be taken into account. Consequently, an accurate and easy cost model to select the most appropriate machinery is required. Moreover,Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM.5 Liter Paint Tin Can with Customized Printing Plastic Handle(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSuper Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;5kw Single Phase Home Grid Tied Solar Power System' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CNC Router with Vacuum Table  3D 1325 for Aluminium).Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China.

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Costs included capital (CC) and total operating cost (OC) based on US dollars (2013) and dollars (2013) per hour, respectively. Moreover, the operating costs could also be estimated in detail,i.e.the overhaul (China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader), maintenance (Three Phase 220V Frequency Converter with Vector Control) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Frequency Converter Variable Speed Drive.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Frequency Converter 60Hz 50Hz 200HP) are associated with both unscheduled repairs and scheduled servicing of all of minor and major components, excluding overhaul actions and lubrication. The cost of operator's time was not included in this study.Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush.Okoume Veneer. Here,Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, separate capital and operating cost functions for variable-Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives.

Statistical approach

The relationship between a variable of interest and a set of related predictor variables can be well expressed by regression analysis. In each regression model, one dependent variable and some independent variables are related to each other.Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food(SRA) if just one independent variable exists, while in multiple linear regression (MRA) several independent variables are correlated to the dependent variable. In this regard, independency of regressors (so-Customized Metal Tea Canister Food Packaging Box Round Can Tin) is a must. Multicollinearity affects the stability of the regression coefficients and violates the presumptions of the ordinary least-squares method used in regression (Montgomery and Runger, 2003).

In this paper,Square Tin with Airtight Lever Lid for Tea. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)Hot Sale Factory Direct Easy Open Tin Can for Food Cannery.

968 Solar 30kw 40kw on Grid Tie Power System for Factory Roof, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.15mm Rosewood Veneer, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables from each other is required before initiating any regression analysis due to the regression assumption. As will be discussed later, correlations between regressors existed in this research and therefore such dependencies were eliminated by the principal component analysis (PCA) method.

Interior Decorative Woven Veneer Customized Style, R2, RMSE (root mean square error), and MAER (means absolute error rate) were carried out. R2is the coefficient of determination and indicates measures of the dependent variable variance which is explained by the regression model. The RMSE shows the difference between observed and predicted values according to the model and can be calculated by Equation [3]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780.

Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket, analysis of residuals, tests of MAER values and evaluation of R2were conducted. By using Equation [4], differences between actual and estimated costs for any data are examined and an average difference based on per cent of actual costs is given (Kim, An, and Kang, 2004).

whereCeis the estimated cost,Cathe actual cost, andnYn725 Yineng Mini Wheel Loader 18.5kw Cabin. MAER values should be in low levels as much as possible.

Principal component analysis

In this method, main observations in correlated space are transformed to a set of uncorrelated components, each of which is a linear composition of the main variables (Equations [5] and [6]).Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket(PCs). As can be seen inUnderwater Swimming Pool Light Decoration LED Lamp with Edison Chip, neitherX1norX2is the main direction of the data, while the ellipse with main diameters PC1and PC2matches the direction of the data. The main advantage of such projection is the independency of PCs from each other. It follows that there are linear relations between PCs andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere first transformed into PCs in order to eliminate the multicollinearity, and then the multiple linear regression model was built with PCs as the regressors. After evaluation of the model, the PCs were replaced by the main variables and the final model based on the main variables was introduced.

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The PCA approach was implemented to define new predictor variables with low correlation values. Conversion of the technical variables to the PCs was conducted using STATISTICA software.30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Boxshows the main variables and the new generated PCs of the CSFM together, whileGlass Bottle 1L Empty 1000ml Milkdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer.

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Using the PCs as independent variables, a capital cost (CC) model for the CSFM was developed (Equation [7]). However, the final model should be based on the main technical variables, as those values are available for the user. Equation [8] has been used for converting the PC-based model to a model with main variables (Timm, 2002; Kaiser, 1960)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inCamera Wind and Solar Power System with Fuse DC Box Protection), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Purity 99% Intermediate 1) and C refer to constant value of PC-based model (here 224 558.3). Equation [9] shows the final capital cost model for the CSFM.

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Results and discussion

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Applying the power regression function(Y=aXb),the cost model was obtained. As an example, Equations [10] and [11] show SRA capital (2013 US$) and operating costs (2013 US$ per hour) as a function of diameter (m) of the CSFM.

It can be seen that the capital and operating costs are proportional to the 0.791 and 0.Good Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike. The R2is about 0.94 for both cases,i.e.94% of the variation in capital and operating costs could be explained by the model.Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loadersdemonstrate results for the machines modelled in this research.

Multiple regression results

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As has been mentioned, the costs of the motor are not included in the developed cost functions of flotation machines. Therefore, when a flotation cell is chosen and its costs are estimated, the capital and operating costs of the relevant motor (based on the required power (P in kW) can be estimated by Equations [12] and [13].Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults/min drive rating. A variable-speed motor is provided here so that the user can have an estimate of the motor's cost regardless of the required speed rating.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,The New Natural Mahogany Okoume Veneer, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket$394 000 and $11 per hour, respectively. The capital cost of a CSFM and CCFM is proportional to the 0.79 and 0.76 power of diameter, whereas in the case of the SAFM and SFM, it is proportional to 0.47 and 0.0.3mm Rotary Cut Red Wood Veneer, respectively. This indicates that the highest level of economy of scale belongs to the standard flotation machine;i.e.the SFM cost advantage increases with increasing size of the machine. The R2values between 0.87% and 0.96% indicate that at least 87% of total variation in costs can be explained by the model. The lowest MAER of SRA belongs to the CSFM (4.86%)Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

Estimation of the capital and operating costs of process plant equipment, particularly flotation machines, along with determination of detailed operating costs, is an indispensable task in feasibility studies of mineral projects.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Moreover,Gurjan Veneer Keruing, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Everun CE Approved 0.8 Ton Front End Loader, self-aerating, and standard) has been developed.

Two sets of cost functions including univariate exponential regression and multivariate linear regression are presented. Individual cost functions are presented for each operational cost item category such as overhaul (China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader), maintenance (Three Phase 220V Frequency Converter with Vector Control), power and lubrication items. However, costs can vary from mine to mine and from time to time, and should be adjusted for conditions specific to the operation based on local unit costs (such as electrical power, lubricants,Empty Lubricant Oil Tin Can Packaging for Motor), and annual cost index of mineral processing equipment.974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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