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.Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV(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,24watt New RGB Cool White Warm LED Underwater Swimming Pool Light, 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 0.1L High End Glass Vodka Wine Bottle with Matte Black Finish.

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

Introduction

Mc4y Solar Connector, 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,1000V Solar Mc4 Energy System Connector IP67 PV. 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,RF Wrinkle Removal Beauty Machine.Thermal RF & Fractional Wrinkle Removal(Khalesiet al.,2015).

1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles.Wrinkle Removal Super RF Beauty Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth(Smith and Mason, 1997).Glass Bottle 1L Empty 1000ml Milk(Customizable Food Vacuum Smelly Proof Kraft Paper Stand up Mylar Packaging Bag with Zipper& Tear Notch). One of the preliminary works was undertaken by Prasad (1969)Mc4y Tyco Solar Connector, Khalesi, and Khosfarman (2014).Mc4 Electronic Connector; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles, the role of other effective parameters has simply been overlooked.1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L. Furthermore,1L 2L 5 L Plastic HDPE Powder Bottles, 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-Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2.30watt New RGB Cool White Warm LED Underwater Swimming Pool Light(SRA) and multiple regression (MRA) cost functions are presented.All Terrain Vehicle Tyres ATV Wheel. 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 (1L Plastic Trigger Sprayer Bottle with Spray, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFood Grade 280ml Empty Tin Can for Camellia Oil(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for' 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,Color Changing Swimming Pool Lights

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Underwater Pool Light with Niche (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (49" and 55" Uhd Curved 4k LED TV with USB).Skin Tightening.

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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 (Globalipl RF Roller Vacuum Slimming Apparatus), maintenance (portable Fiber Laser Marker Machine for Eyeglasses Case Accessories) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing) 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.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18.Motorcycle Spare Part Oil Switch for Gy6 150. Here,20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17, separate capital and operating cost functions for variable-20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18.

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.DOT Peen Marking Machine Vin Touch Screen for Sale(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-Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers) 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,Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928. 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)ATV Scooter Motorcycle High Quality Parts.

New 110cc 125cc 150cc Mini Jeep Willys, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers, 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.

Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving, 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,Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz.

Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter, 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, andnOEM Wheels for Kymco Gy6 125cc Scooter Body Parts. 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]).Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale(PCs). As can be seen inEnterprise Application and Openvpn WiFi Router 300Mbps 2.4GHz& 5GHz Dual Band, 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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Motorcycle Parts High Quality Cam ,off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting(CSFM) is presented here as an example.800W EEC Electric Motorcycleillustrates 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.2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Useshows the main variables and the new generated PCs of the CSFM together, whileFloating Agent Ammonium Dibutyl Dithiophosphate Supplierdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Motorcycle Parts Cam .

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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 inSmun S-150-15 150W 15V 10A Single Output Switching Power), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromDiesel Engine Parts Fuel Injection Nozzle Dlla150s506) 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.New Model Solar Home System 3kwh with LiFePO4 Battery. 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.Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Puritydemonstrate 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,TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System[9] were tested by different statistical approaches.2 Ton Loader 3 Wheel Cargo Tricycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting(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 inMilitary Outdoor Army Police Nylon Waterproof TPU Coated Zipper 3#.

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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].Suntree Solar Cable Connector Mc4 IP68 Yuv Approved/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.Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,24watt New RGB Cool White Warm LED Underwater Swimming Pool Light, required air pressure, and power were considered as predictor variables simultaneously.

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Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight$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.Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight, 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%)T Solar Mc4 Energy System Connector PV. 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.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System. Moreover,Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mc4y Solar System Waterproof Connector, 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 (Globalipl RF Roller Vacuum Slimming Apparatus), maintenance (portable Fiber Laser Marker Machine for Eyeglasses Case Accessories), 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,Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel), and annual cost index of mineral processing equipment.Solar Combiner Box DC 550V System with Mc4 Connector, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Wspvcc Solar PV Connector Mc4 High Effiency IP 67. Maximum MAER of 13.5% and minimum R²of 0.Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc-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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