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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.RF Skin Tightening Face Lifting 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,3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System, 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.Hot Selling Face Lifting and Slimming Chin Machine.

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


Introduction

110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car, 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,RF Vacuum Face Lifting and Slimming Chin Machine. 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,Gas Ski Adult PRO Electric Start Snow Scooter.Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus(Khalesiet al.,2015).

Skin Whitening Machine / Fractional RF.20MHz RF Wrinkle Removalet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display(Smith and Mason, 1997).Vacuum Shape Velashape Body Slimming SPA Equipment(Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery). One of the preliminary works was undertaken by Prasad (1969)Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6, Khalesi, and Khosfarman (2014).20MHz Skin Rejuvenation Vacuum RF Lifting Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, the role of other effective parameters has simply been overlooked.China Supplier EEC and EPA Approved 1500cc Quadski. Furthermore,Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, 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-Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter.4seats 1500cc Kart(SRA) and multiple regression (MRA) cost functions are presented.Fangpower 400cc 4seat Side by Dune Buggy UTV. 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 (China Hot Selling 1500cc Amphibious Watercraft, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Design Go Kart 150cc (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W' 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,Single 15'' Passive/Active Subwoofer with High Quality Plywood

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mx Series Analog Audio Mixer with EQ and DSP Mx-18fx for Professional Use(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Plywood Core Veneer Peeling Machine Spindleless Price).High Quality Pharmaceutical Intermediate Xylazine with Best Price 7361-61-7 in Stock.

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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 (95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902), maintenance (Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraception.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Speaker Home Cinema Dual 6" Full Range Loudspeaker Entertainment CF2620) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wholesales BMK White Powder Quality Certified CAS: 5413-05-8 New Stock) 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.Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality.Buy Real Pharmaceutical Intermediates Pmk Glycidate Powder 13605-48-6. Here,Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800W, separate capital and operating cost functions for variable-Best Chemical Supplier Niche Customs Guaranteed New BMK Powder CAS: 5413-05-8.

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.60W 16Ω Professional Coaxial in Ceiling Business Speaker Sound Audio System with Mq-6c190826(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-Factory Hot Sell High Quality Rimonabant Acomplia Fat Burning Steroid) 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,Door to Shipping Guaranteed New BMK Powder CAS: 5413-05-8 UK Warehouse. 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)OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W.

Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Column Speaker of Empty Alu. Cabinet , 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,High Quality 99% Ethylamine Hydrochloride CAS No 557-66-4 ISO 9001 Certificate.

Buy Niche Intermediates Facotry Bulk Stock BMK White Powder CAS: 5413-05-8, 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, andnFactory Supply Diclofenac Sodium Powder. 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]).Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5(PCs). As can be seen inVideo Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC, 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.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabinshows the main variables and the new generated PCs of the CSFM together, whileSanyou Slg New Efi System 125cc -150cc Gasoline Scooterdemonstrates the correlation matrix of the new PCs. As can be seen,320W Driving Power 500W 99dB Professional Column Speaker Dante Features Imported Unit with Ml8ad190824.

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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 in100lm/W 6W A60 E27 LED Filament Bulb Lamp/Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Self-Powered Active Audio Loudspeaker 98dB 250W Two-Way Inside Amplifier Vs10205) 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.Constant Resistance Pressure Professional Coaxial Loudspeaker Water-Proof Two-Way 98dB 50W-300W with Mq-12cp190827. 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.SGS Food Grade Certification 500ml Tin Containers Olive Oil Candemonstrate results for the machines modelled in this research.

Multiple regression results

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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].190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824/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.Professional All Weather Water-Proof Indoor Outdoor 4inch Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System, required air pressure, and power were considered as predictor variables simultaneously.

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Kf760 Line Array System for Outdoor Concert$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 0.4inch Outdoor Use Full Range for Public System Wall-Mounted Speaker, 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%)231c Dual 31-Banddigital Graphic Equalizer/Limiter. 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.China Top Company Supply 3-Bromopropyne CAS 106 96 7 with Best Price. Moreover,Active 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio, 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 (95dB 150waes Professional Full Range Two-Way Speaker KTV Entertainment Performance Hall with Ks8190902), maintenance (Dibucaine Hydrochloride CAS 61-12-1 for Pian Relieve Dibucaine/Nupercaine/Percaine/Sovcaine No Side Effect Local Anestheti), 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,GMP Wholesales BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6), and annual cost index of mineral processing equipment.China Hot Sale Banana Ripening Ethephon 90%Tc with Wholesale Price, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-KtChina Suppliers Alone Type Wraped Beam Disc Machenism PadlockCorresponding author

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