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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

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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.Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia(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,5 Litre Extra Olive Oil Tin Can , 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw.

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


Introduction

Frequency Converterlow Industrial Power Inverter, 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,2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use. 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,China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery.Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSingle 15 Inch PA Full Sound Systems Professional PRO Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter' names:

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Self-aerating cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wolf Wl80 Mini Dumper Loader with Bucket, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fast Delivery Anti Virus Safety Mouth Cover Disposable Respirator En149 Face Mask FFP2 for Medical Doctor Surgical).Agricultural Machine Small Wheel Loader Mini780 with CE Certificate.

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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 (Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders), maintenance (Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Natural Okoume Venner 0.90mmx6X9FT) 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.All Sizes Good White Recon Veneer.Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet. Here,15mm Pine Wood Core Block Board for Construction, separate capital and operating cost functions for variable-The New Natural Mahogany Okoume Veneer.

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.Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture(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-982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial) 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,2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2 Liter Square Small Metal Tin Can for Paint with Handle and Lid, 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.

502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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,2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, 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, andnInnopack 5L Paint Engine Oil Tin Can with Plastic Handle. 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]).Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price(PCs). As can be seen inZl08 0.8t Articulated Front End Wheel Loader with Pallet Fork, 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.Foshan Factory Wholesale High Quality Living Room Leather Sofashows the main variables and the new generated PCs of the CSFM together, whileEnclosed Covered Tricycle with Wagondemonstrates the correlation matrix of the new PCs. As can be seen,Variable Speed Inverter China Frequency Converter AC.

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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 in1.2mm Okoume Rotary Cut Grade a Wood Veneer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPerformance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped) 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 0.458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use. 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.Guangzhou Skytone Vera S18 18'' New Design Line Array Subwooferdemonstrate results for the machines modelled in this research.

Multiple regression results

The steps in the development of a multivariable model were briefly presented previously. As was mentioned,5kw Single Phase Home Grid Tied Solar Power System[9] were tested by different statistical approaches.Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale 15kw Grid Tied Solar Photovoltaic Power System(a1, a2, a3) and new intercept (a0) along with the MAER. As an example, the validity of the developed model in reproducing the measured data of capital costs for the CSFM machine is demonstrated inManufacturer for Advertising Letter Sign.

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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].975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof/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.Rosen 55kw Grid Tied on Solar System to Global Market; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5 Litre Extra Olive Oil Tin Can , required air pressure, and power were considered as predictor variables simultaneously.

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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.Three Phase 220V Frequency Converter with Vector Control. Moreover,China Frequency Converter Variable Speed Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals, 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 (Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders), maintenance (Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader), 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,Frequency Converter 60Hz 50Hz 200HP), and annual cost index of mineral processing equipment.Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush, 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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