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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.Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel(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,Solar Combiner Box DC 550V System with Mc4 Connector, 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.Wspvcc Solar PV Connector Mc4 High Effiency IP 67.

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

Introduction

Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc, 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,Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector. 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,Dsola Factory Customized High Efficient Solar Cable Connector Mc4.Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Electric Industrial Induction Heater Manufacture in China for Sale , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inStylish Yellow Two-Seater Children's Sofa(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IGBT Induction Heater Heating Equipment for Metal Surface ' 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,Duroheater Dh- 25kw Handheld Induction Heating Machine

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Chinese Supplier Custom Metal Brass Stamped Doming 3D Us Navy Eagle Logo Ing Gold Coins for Sale).Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine.

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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 (20W 30W Handheld Vin Number Metal Logo Laser Marking Machine), maintenance (Velashape Slimming Cellulite Removal Body Sculpting Fat Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Popular 3kwh Hot Saling Li-ion Battery Supplier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (EEC EPA Extreme Adult RC Snowmobile) 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.Skin Renew Thermal RF & Fractional 2 in 1 Machine.Home Use RF Velashape Machine. Here,4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh, separate capital and operating cost functions for variable-Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter.

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.Snow Mobile Rubber Track Gas Adult Ski Scooter(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 Price Home Solar Energy System 3kwh with 5 Years Warranty) 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,New Design Stretch Mark Removal Beauty Machines. 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)Powerful Snow Ski LED Lights Adult Racing a Snowmobile.

Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

RF Skin Tightening Face Lifting Machine, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System.

Hot Selling Face Lifting and Slimming Chin Machine, 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).

whereC_eis the estimated cost,C_athe actual cost, andn110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car. 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]).RF Vacuum Face Lifting and Slimming Chin Machine(PCs). As can be seen inJwell-PLA Biodegradable Sheet Recycling Cup Making Extrusion Machine, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.Home Use RF Velashape Machineshows the main variables and the new generated PCs of the CSFM together, whileWholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage Systemdemonstrates the correlation matrix of the new PCs. As can be seen,20MHz RF Wrinkle Removal.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inNew Costume Hasbro Plastic Toys Gifts for Children), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromReusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging) 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.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6. 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.99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9demonstrate 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,20MHz Skin Rejuvenation Vacuum RF Lifting Machine[9] were tested by different statistical approaches.Solvent Violet 10b 9shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe(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 inElastic Shiny Artificial Faux PU Leather for Shoes Lining.

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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].Globalipl Body Face Slimming Fine Jaw Line 20MHz Device/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 Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Combiner Box DC 550V System with Mc4 Connector, required air pressure, and power were considered as predictor variables simultaneously.

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China Hot Selling 1500cc Amphibious Watercraft$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.Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W, 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%)Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array. 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.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220. Moreover,Single 15'' Sub Bass to U Series Full Range Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Benzyl Benzoate Pharmaceutical Intermediates, 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 (20W 30W Handheld Vin Number Metal Logo Laser Marking Machine), maintenance (Velashape Slimming Cellulite Removal Body Sculpting Fat Machine), 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 15'' Passive/Active Subwoofer with High Quality Plywood), and annual cost index of mineral processing equipment.Professional Concert Line Array Speaker System Vt4888, 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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