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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.Hot Selling Face Lifting and Slimming Chin Machine(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,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car, 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.RF Vacuum Face Lifting and Slimming Chin Machine.

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


Introduction

Gas Ski Adult PRO Electric Start Snow Scooter, 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,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus. 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,Skin Whitening Machine / Fractional RF.20MHz RF Wrinkle Removal(Khalesiet al.,2015).

Vacuum Shape Velashape Body Slimming SPA Equipment.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 25KW Ground Mini loader price(Smith and Mason, 1997).20MHz Skin Rejuvenation Vacuum RF Lifting Machine(New Design Go Kart 150cc ). One of the preliminary works was undertaken by Prasad (1969)China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, Khalesi, and Khosfarman (2014).China Supplier EEC and EPA Approved 1500cc Quadski; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, the role of other effective parameters has simply been overlooked.Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter. Furthermore,4seats 1500cc Kart, 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-Fangpower 400cc 4seat Side by Dune Buggy UTV.China Hot Selling 1500cc Amphibious Watercraft(SRA) and multiple regression (MRA) cost functions are presented.Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W. 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 (Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAlloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276.(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220' 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),95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customizable Overnight 3D Maintenance Disposable Adult Diapers).Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti.

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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 (Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception), maintenance (Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6) 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.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W.Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8. Here,60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826, separate capital and operating cost functions for variable-Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid.

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.Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse(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-OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W) 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,Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801. 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)Column Speaker of Empty Alu. Cabinet .

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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.

Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, 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,Factory Supply Diclofenac Sodium Powder.

Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5, 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, andnSingle 5inch Coaxial Full Range Professional Loudspeaker Inside Have Two-Way Home Cinema 60W with CF5190806. 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]).Chinese Top Factory Shipping Guaranteed BMK White Powder Fast Delivery CAS: 16648-44-5(PCs). As can be seen inPortable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting, 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.Sanyou Slg New Efi System 125cc -150cc Gasoline Scootershows the main variables and the new generated PCs of the CSFM together, whileFree Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bagdemonstrates the correlation matrix of the new PCs. As can be seen,Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827.

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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 in3-Zone Thermal Shock Test Chamber/Maerial Temperature Extreme Change), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromOriginal Quality Motorcycle Parts Spark Plug Cap for Gy6 125) 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.High Purity New BMK Powder with Low Price in Stock CAS: 16648-44-5. 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.150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATVdemonstrate 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,Safe Delivery BMK Glycidate Pmk White Powder Eurore Warehouse CAS: 13605-48-6[9] were tested by different statistical approaches.Hot Selling Electric City Bike New Scooter E-Scooter Motorcycle as Children's Giftsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824(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 in16 AMP Red 4p Wall Mounted Plug Sockets.

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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].Birch Plywood 2-Way Crossover Passive Loudspeaker /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.Srx715 High Quality Neodymium PRO Audio; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car, required air pressure, and power were considered as predictor variables simultaneously.

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231c Dual 31-Banddigital Graphic Equalizer/Limiter$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.China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price, 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%)Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System. 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.Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio. Moreover,GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price, 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 (Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception), maintenance (Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620), 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,Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception), and annual cost index of mineral processing equipment.Safe Shipping Sarms Powder ACP-105, 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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