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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.Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary(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,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, 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.Made in China Strong Compact Mini Front Loader .

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

Introduction

2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, 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,Manufacture 20W Fiber Laser Marking Machine for Engraving. 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,3kw Air-Cooled UHF Digital TV Transmitter DTV.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3phase VFD(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Microstome Metal Drum Customization Printing Logo' 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,4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Unwoven disposable baby diaper wholesale with diapers audlt).High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty.

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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 (E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw), maintenance (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Erbium-Doped Fiber Amplifier Optical Power Adjustable .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dirt Bike for 199 Cc Displacement) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sab-500 Ophthalmic a/B Scanner) 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.[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h.200cc Reverse Wholesale Motor Light Three Wheel Motorcycle . Here,Industrial Energy Saving Device Made in China, separate capital and operating cost functions for variable-150cc Enclosed Gasoline Motorized Cargo Trike with Box .

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.Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner(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 Box Energy) 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,Power Saver Energy Saving Device. 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)Power Saver for Industrial .

Industry Saveing Box , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Industry Saveing Box , 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.

Motorcyle with Bore * Stroke 66*58.2 mm, 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,Electricity Saving Device 600amp .

250cc Motor Cabin Tricycle Cargo with Canopy, 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, andnSafety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price. 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]).Flexible Label Laser Marking Machine(PCs). As can be seen inNewest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter, 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.Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 shows the main variables and the new generated PCs of the CSFM together, while10'' Ferrite Woofer Best Price Loudspeakerdemonstrates the correlation matrix of the new PCs. As can be seen,Label Marking Equipment Laser Machine for Car Body Labels.

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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 inChrome Auto logo Sticker Rear Custom Car Emblem Badge), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromStand-up Ziplock Dried Food Packaging Vacuum Plastic Container) 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.Latest Electric Scooter 800W Citycoco. 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.2-30mm Hot Sale Double Sided E0/E1 Glue Melamine/Fancy Plywood for Furnituredemonstrate 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,16/24 Channel RF Combiner Passive Mixer[9] were tested by different statistical approaches.Bp Grade Benzyl Benzoate 99% Minshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.150cc Cheap Open Gas Reverse Trike (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 inQuick Build Prefabricated Steel Structure Frame House Building with Alc Board.

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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].GS-a 12mm CATV Fixed RF Attenuator/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.250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.

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China 250cc New 3 Wheel Motorcycle Motor Tricycle$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 0.3ru 24 in 1 CATV Fixed Channel Modulator , 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%)16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle. 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.Satellite Ts Encryption HD Receiver with Multiplexing Function. Moreover,Motor Tricycle Three Wheel Cargo Trike for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorbicycle for Well Done Accessories, 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 (E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw), maintenance (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner), 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,16 in 1 CATV Modulator Fixed Frequency), and annual cost index of mineral processing equipment.8 Channels HDMI to DVB-T Modulator, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner. Maximum MAER of 13.5% and minimum R²of 0.Motor Vehicle for High Speed and Stable Function-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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