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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.Portable-Rorary Type DOT Peen Marking Machine for Metal(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,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, 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.Underwater Light.

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

Introduction

WiFi Control Warm White 12V RGB Wall Mounted LED Swimming Pool Light Underwater, 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,20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals. 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,Automatic Red Point Laser Marking Machine for Metal Aluminum Plastic.8mm Thickness 316ss IP68 RGB DC12V 18W External Control Mode LED Swimming Pool Light(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCarb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Factory Motorcycle Tyre and Motorbike ' 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,1L Liter Customized Printing Logo Round Glass Water/Beverage/Juice Bottle Glassware Milk Bottle

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3kwh 150ah Solar Home System Li-ion Battery Factory(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Manufacturers Metal Enamel Airline Pin Badge Promotional Poppy Factory Price Button).Excellent Motorcycle Cylinder for Gy6 -100 .

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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 (3kwh Power Supply Solar Energy Battery Pack), maintenance (25kw Electromagnetic Induction Heater for Tools Welding) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Adjustable IP65 Lumileds SMD5050 Meanwell 800W LED Flood Light.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Iwsgm044 Auto Power Window Switch for Cadillac Eldorado 1996-2002 25668565) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mc4 Connector Combiner Box with 600V MCB for off Grid Solar System) 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.Professional Manufacture Y Solar Mc4 Energy System Connector PV.Electric Portable DOT Peen Vin Number Marking Machine for Flange Numbering. Here,Highly Quality 1500V Solar Mc4 Energy System Connector IP67 PV, separate capital and operating cost functions for variable-24watt New RGB Cool White Warm LED Underwater Swimming Pool Light.

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.1L High End Glass Vodka Wine Bottle with Matte Black Finish(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-Mc4y Solar Connector) 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,1000V Solar Mc4 Energy System Connector IP67 PV. 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)RF Wrinkle Removal Beauty Machine.

Thermal RF & Fractional Wrinkle Removal, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1L 2L 5L 10L 100ml 200ml 500ml Wine Glass Bottles, 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.

Wrinkle Removal Super RF Beauty 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,Glass Bottle 1L Empty 1000ml Milk.

Mc4y Tyco Solar Connector, 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, andnMc4 Electronic Connector. 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]).Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles(PCs). As can be seen inLady's E-Scooter 800W Hot Sale Made in China, 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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1L 2L 5 L Plastic HDPE Powder Bottles,Solar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2(CSFM) is presented here as an example.Jwell - Thermoplastic Polyurethane Film Extrusion Machineillustrates 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.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileFood Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cansdemonstrates the correlation matrix of the new PCs. As can be seen,30watt New RGB Cool White Warm LED Underwater Swimming Pool Light.

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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 in49inch Curved LED TV Screen HD 4K Television Smart), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSteel Wall Bracket for Speaker with Quick Release Pin ) 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 0.1L Plastic Trigger Sprayer Bottle with Spray. 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.Water Pump Frequency Inverterdemonstrate 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,Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for[9] were tested by different statistical approaches.800W -1000W 60V/72V Electric Scooter with Lead-Acid Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20MHz RF Best Technology for Skin Tighten(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 in375kVA/300kw Power Generator Set Shangchai Diesel Engine Genset.

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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].20MHz Thermal RF Wrinkle Removal Beauty Machine/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.Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Engine Timing Kits for Cadillac Allante 4.6L V8 281 Cid 1993, required air pressure, and power were considered as predictor variables simultaneously.

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Underwater Pool Light with Niche $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.Skin Tightening, 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%)Globalipl RF Roller Vacuum Slimming Apparatus. 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.portable Fiber Laser Marker Machine for Eyeglasses Case Accessories. Moreover,New Private Model 8mm Thickness IP68 LED Underwater Pool Light with 2years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light, 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 (3kwh Power Supply Solar Energy Battery Pack), maintenance (25kw Electromagnetic Induction Heater for Tools Welding), 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,China Hot Sale Mini Portable Handheld Rotary Fiber Laser Marking Machine 20W Vin Number Sticker Printing), and annual cost index of mineral processing equipment.20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Motorcycle Spare Part Oil Switch for Gy6 150. Maximum MAER of 13.5% and minimum R²of 0.20 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-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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