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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.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin(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,Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA, 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.Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady.

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


Introduction

Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult, 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,350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults. 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,1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery.1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (60V/72V 1200W Electric Scooter with Tianneng Battery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTricycle with Wagon 3 Wheel Motorcycle Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Price Solar Energy Systems Home Panel System 15kw 20kw on Grid' 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),Power Frequency Converter AC Drive Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Single Punch Die Round Tablet Press Machine Mold in Stock).Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals.

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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 (0.5L Tin Can with Dry Cover), maintenance (Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,AC Frequency Converter 50Hz 60Hz Drive Inverter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap) 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.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W.850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage. Here,Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling, separate capital and operating cost functions for variable-Cheap Smart Lady's Electric Scooter 60V800W.

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.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Gifts(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-Lady Scooter Motorcycle 2.5 16 Tire Custom Bike) 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,0.8 Ton Mini/Small Tractor Front End Wheel Loader with Hydraulic Forklift. 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)Yn725 Yineng Mini Wheel Loader 18.5kw.

Wheel Loader Mini Wolf Wl80 with Forks, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08 0.8 Ton Agricultural Farm Articulated Mini Wheel Loader with Hydraulic System, 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.

Wolf Wl80 Mini Radlader Hoflader with Forks in Farm, 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,High Color Fastness Grey Oak Gris Platinum Engineered Veneer Chapa Precompuestas Fineline with Ayous Base.

L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Box, 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, andnCheap Electric Scooter 500W Pedal Bicycle 25km/H for Export. 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]).Big 4000W 70V Electric Scooter(PCs). As can be seen inHigh Impact Strength and Low Water Absorption Resin 610, 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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18L Square Metal Tin Cans with Handle and Lid for Oil,Glue Tin Can with Plastic Lid / Square Metal Paint Sizes(CSFM) is presented here as an example.Fiber CO2 UV Laser Engraving Machine Marker Equipment Logo Printing Marking for Metal Plastic Woodillustrates the high correlation between predictor variables for the CSFM.

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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.E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificatedshows the main variables and the new generated PCs of the CSFM together, whileHD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1demonstrates the correlation matrix of the new PCs. As can be seen,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service.

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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 inQt4-18 Full- Automatic Hollow/Solid Concrete Brick Making Machine Factory Price in India), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAl-Gw6 Fast Electric Motorcycle Speed 60km/H Kits) 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 Empty 1 Litre Metal Tin Paint Cans with Handle for Sale. 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.Professional Line Array Speaker Single 10 Inch Full Range Systemdemonstrate 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,Pinergy Grid Tied Solar Panel System 6kw Energy 110V Single Phase[9] were tested by different statistical approaches.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.off Grid 5kw 10kw Solar 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 inQt4-35b Price List of Concrete Block Making Machine 2021.

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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].2013 Popular Electric Motorcycle 90km with Pedal CE /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.Chinese Zl08f Wheel Loader 0.8ton Mini with Quick Hitch for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA, required air pressure, and power were considered as predictor variables simultaneously.

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Er08 New CE Approved Small Shovel Loader$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.Everun Brand New Generation CE Approved Er408 0.8ton Mini Front End Wheel Loader, 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%)Hot Sale Mini Wheel Loader Yn725g. 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.0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm. Moreover,Low Frequency Inverter AC Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Frequency Inverter Converter 50Hz 60Hz, 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 (0.5L Tin Can with Dry Cover), maintenance (Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans), 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,Single Phase Mini AC DC Motor Speed Controller), and annual cost index of mineral processing equipment.Frequency Inverter Pump AC Drive Price, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Factory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android.Hot Cheap Electric Scooter for Two Seats 60V800W20ah with USB Charger.Bl-Xgw Electric Motorcycle, Montreal. 265 pp.         [Good Taste Maltose Sugar Hot Selling Price 69- 79 -4]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.21kw Grid- Tied Solar Power System with 25 Years Working Time.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Latest Electric Scooter 800W Citycoco]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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