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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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S. Arfania; A.R.Popular 800W Power Electric ScooterAntique Design Rustic Style Furniture Nature Oak and Dark Grey Linen Shakable Leisure Sofa Chair; 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.1250X2500mm Rotary Cut Okoume Veneer Cheap Prices(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,Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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 0.2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System.

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


Introduction

Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, 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,Wolf 0.8t 800kg Mini Loader with Euro 3 Engine. 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,500- 800W 48V 20ah OEM manufacturers Electric Scooter.800W Brushless Adult Electric Scooter(Khalesiet al.,2015).

2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle.Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use(Smith and Mason, 1997).Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter(12" Line Array Loud Speaker Sound System Professional PA). One of the preliminary works was undertaken by Prasad (1969)1L Beer Can, Khalesi, and Khosfarman (2014).High Quality Electric Scooter Factory; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults, the role of other effective parameters has simply been overlooked.1L Panit Can. Furthermore,1L and 5L Can for Antifreezing Liquid, 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-2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle.Pump Inverter Variable Frequency Drive Manufacturers AC Supplier(SRA) and multiple regression (MRA) cost functions are presented.Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal. 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 (Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in26 Inch Mountain Bike From China Bicycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock' 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),2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Directly Sale New Coming Shar Pei with T-Shirt Dog Keychain Keyring Bag Pendant).AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture.

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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 (Radiate Pine Face Veneer), maintenance (Grade AA Veneer Furniture Building Material Plywood to Dubai) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Manufacturer of Enigine Oil Can) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Small Wheel Loader Wl80 800kg Loaders for Farm Work) 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.1L Tin Can for Camellia Oil .CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility. Here,Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box, separate capital and operating cost functions for variable-2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle.

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.Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core(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-Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box) 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,Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia. 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)5 Litre Extra Olive Oil Tin Can .

DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Frequency Converterlow Industrial Power Inverter, 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.

2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit 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,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, 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, andnDC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw. 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]).Low Price B/C/D/E Grade Wood/Natural Birch Veneer(PCs). As can be seen inDual 10 Inch Line Aray Powered Active Sound System, 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.Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800Wshows the main variables and the new generated PCs of the CSFM together, while3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36demonstrates the correlation matrix of the new PCs. As can be seen,Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies.

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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 inAutomotive Upholstery PU Microfiber Leather Imitation Real), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar Energy Storage System Built-in Inverter) 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.Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch. 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.Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2demonstrate 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,Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter[9] were tested by different statistical approaches.High accuracy stability Monocrystalline Silicon Pressure Transmittershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle(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 in3D Wheel Alignment Machine Series.

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Cost model for variable-2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters

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].Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw/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.2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader, 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.Wolf Wl80 Mini Dumper Loader with Bucket. Moreover,Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Agricultural Machine Small Wheel Loader Mini780 with CE Certificate, 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 (Radiate Pine Face Veneer), maintenance (Grade AA Veneer Furniture Building Material Plywood to Dubai), 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,Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders), and annual cost index of mineral processing equipment.Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader, 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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