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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.Made in China Strong Compact Mini Front Loader (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,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, 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.Manufacture 20W Fiber Laser Marking Machine for Engraving.

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

Introduction

3kw Air-Cooled UHF Digital TV Transmitter DTV, 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,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. 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,Wholesale High Performance Metal Mc4 Connector.No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip(Khalesiet al.,2015).

1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car.2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chipet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal(Smith and Mason, 1997).IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector(3phase VFD). One of the preliminary works was undertaken by Prasad (1969)Portable Fiber Laser Marking Machine for Vin Code/Number, Khalesi, and Khosfarman (2014).1L Empty Round Edilbe Cooking Oil Metal Tin; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, the role of other effective parameters has simply been overlooked.Max Source Fiber Machine Laser Marking for Vin Number. Furthermore,1L Custom Round Small Metal Empty Tin Cans with Lids, 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-2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo (SRA) and multiple regression (MRA) cost functions are presented.1L Microstome Metal Drum Customization Printing Logo. 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 Metal Tin Cans with Lid for Paint or Chemical, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Stable Universal Pressure Transmitter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Free Sample 5GHz Antenna Rubber Gain' 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,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Natural Hair Care Series Argan Serum for).Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner.

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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 (Erbium-Doped Fiber Amplifier Optical Power Adjustable ), maintenance (Dirt Bike for 199 Cc Displacement) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sab-500 Ophthalmic a/B Scanner.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs ([Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (200cc Reverse Wholesale Motor Light Three Wheel Motorcycle ) 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.Industrial Energy Saving Device Made in China.150cc Enclosed Gasoline Motorized Cargo Trike with Box . Here,Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, separate capital and operating cost functions for variable-Power Saver Box Energy.

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.Power Saver Energy Saving Device(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-Power Saver for Industrial ) 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,Industry Saveing Box . 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)Industry Saveing Box .

Motorcyle with Bore * Stroke 66*58.2 mm, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Electricity Saving Device 600amp , 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.

250cc Motor Cabin Tricycle Cargo with Canopy, 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,Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price.

Flexible Label Laser Marking 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, andnFlying Laser Marking System Marker. 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]).800W Color Fashion Electric Motorcycle(PCs). As can be seen in0.8 Ton Mini Front Loader Wl80 Shovel for Garden/Farm, 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.10'' Ferrite Woofer Best Price Loudspeakershows the main variables and the new generated PCs of the CSFM together, whileAC 3 Phase 380V Compact Vectorial Inverter Frequency 220Vdemonstrates the correlation matrix of the new PCs. As can be seen,Latest Electric Scooter 800W Citycoco.

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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 in2021 Wholesale Good Quality Three-Layer Mask China Supplier), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromTopleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box) 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 0.150cc Cheap Open Gas Reverse Trike . 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.Bp Grade Benzyl Benzoate 99% Mindemonstrate 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,Sport Using Motor Vehicle with Sealed Chain Final Drive[9] were tested by different statistical approaches.Clear Colorless Liquid Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast Deliveryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.GS-a 12mm CATV Fixed RF Attenuator(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 inSAE5140/40cr alloy steel forged round bar.

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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].Automatic High Effective Medical Ultrasound Bone Densitometer /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.New 50cc Monkey Bike Gasoline Motorcycle Euro 4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, required air pressure, and power were considered as predictor variables simultaneously.

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16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle$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.Satellite Ts Encryption HD Receiver with Multiplexing Function, 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%)Motor Tricycle Three Wheel Cargo Trike for Sale. 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.Motorbicycle for Well Done Accessories. Moreover,16 in 1 CATV Modulator Fixed Frequency, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (8 Channels HDMI to DVB-T Modulator, 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 (Erbium-Doped Fiber Amplifier Optical Power Adjustable ), maintenance (Dirt Bike for 199 Cc Displacement), 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,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner), and annual cost index of mineral processing equipment.Motor Vehicle for High Speed and Stable Function, 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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