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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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S. Arfania; A.R.Frequency Converter 60Hz 50Hz 200HP15HP Three Phase Frequency Converter; M.R. Khalesi

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.Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush(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,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.Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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


Introduction

Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives, 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,Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food. 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,Customized Metal Tea Canister Food Packaging Box Round Can Tin.Square Tin with Airtight Lever Lid for Tea(Khalesiet al.,2015).

Hot Sale Factory Direct Easy Open Tin Can for Food Cannery.968 Solar 30kw 40kw on Grid Tie Power System for Factory Roofet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10(Smith and Mason, 1997).0.15mm Rosewood Veneer(High Purity Amino Acid L-Arginine Powder). One of the preliminary works was undertaken by Prasad (1969)Interior Decorative Woven Veneer Customized Style, Khalesi, and Khosfarman (2014).4WD Wheel Loader Manufacture Small Radlader 1.0 Ton Mini780; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Farm Machinery Zl08f Mini Wheel Loader with 4 in 1 Bucket, the role of other effective parameters has simply been overlooked.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin. Furthermore,Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(SRA) and multiple regression (MRA) cost functions are presented.0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wolf Baumaschinen Zl08 Radlader with Canopy' 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,Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Natural Wood Veneer Oak /Cherry/Walnut MDF Board(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ocitytimes Good Taste Energy 800 Puffs Disposable Electronic Cigarette).Zl08 0.8ton Mini Tractor Backhoe Front End Farm Wheel Loader Price List.

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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 (Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket), maintenance (0.3mm Rotary Cut Red Wood Veneer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory-Quater Cut Okoume Veneer /Mahogany in 0.50mm.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Gurjan Veneer Keruing) 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.Everun CE Approved 0.8 Ton Front End Loader.Empty Lubricant Oil Tin Can Packaging for Motor. Here,974 Solar 30kw 40kw 50kw on Grid Tie Power System for House/Factory Roof, separate capital and operating cost functions for variable-2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furniture.

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.New Products Customized Support 1080P Decoder Box H. 265 TV with Internet Port(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-2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use) 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,Factory Product 4K Android TV Box Mxq PRO Rk3229 7.1 1GB 8GB. 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)970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof.

Best Price Food Tin Metal Box Clip Lid Candy Can, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (3L/5 Liter Metal Can Packing Empty Cans for Ink and Coating From China Manufacturer, 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.

High Quality Mxq PRO 4K Rk3229 1GB 8GB Android7.1 Quad Core Android TV Box, 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 Efficicency Roof Mounting Grid Tied Home Solar Energy System.

488 Alicosolar High Quality 20kw on Grid Solar System 20000W Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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, andn969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof. 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]).2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in China(PCs). As can be seen inGood Quality Factory Directly Powerful E Motorcycle 2 Wheels Electric Scooters Bike, 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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Frequency Converter 200HP Three Phases,Hot Sale Factory Direct Cheap New Model Electric Bicycle Convenient Motorcycle Best Price in CKD for(CSFM) is presented here as an example.Modern Simple Living Room L Shape Corner Recliner Sectional Sofaillustrates 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.Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturershows the main variables and the new generated PCs of the CSFM together, while20" Inch Replica Aluminum Alloy Wheels for Astonmartindemonstrates the correlation matrix of the new PCs. As can be seen,OEM 6kw Home Grid Tied Solar Power System Without Battery.

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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 inGood Quality PE Film Elderly Sanitary Pads Generic Incontinent Adult Diaper), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVeneer Engineer Poplar Cross Grain 0.50mm) 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 0.2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults. 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.Al-Gw6 China Best Adult Electric Motorcycle Scooter for Saledemonstrate 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,800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments[9] were tested by different statistical approaches.5L Engine Motor Oil Can Screw Top Rectangular Metal Tinshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Cheap Custom Logo Printing Round Metal Cans with Lids(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 inCustom Design Slim Waterproof Travel School Business Laptop Backpack with USB Charging Port.

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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].Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China/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.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Okoume Veneer, required air pressure, and power were considered as predictor variables simultaneously.

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Frequency Converter 60Hz 50Hz 125HP$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.Frequency Converter 60Hz 50Hz 160HP, 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%)Frequency Converter 60Hz 50Hz 60HP. 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.Frequency Converter 60Hz 50Hz 75HP. Moreover,Frequency Converter 75HP Three Phases, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, 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 (Chinese Famous Producer Everun Supply Er408 Articulated Wheel Loader with Bucket), maintenance (0.3mm Rotary Cut Red Wood Veneer), 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,CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader), and annual cost index of mineral processing equipment.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Frequency Converter 50HP Three Phases. Maximum MAER of 13.5% and minimum R2of 0.Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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