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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.300cc Cargo Tricycle of Asia Market(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,Building Material Commercial Plywood with Carb to Europe, 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.AL908 800kg Rated Load Wheel Loader with CE Approved for Sale.

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

Introduction

China Jiaxing Jarol Frequency Inverter 0.75kw/220V New, 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,Portable Laptop Digital Automatic Ultrasound Bone Densitometer. 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,Haiqin Brand 0.8ton Mini Loader .Jarol Solar Inverter 5.5kw 3 Phase(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Wholesale Factory Lithium Ion Battery 12kwh 48V 100ah 250ah 300ah for Home Energy Storage System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Effective Automatic Ultrasound Bone Densitometer' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5L Metal Round Cans for Paint or Chemical Packaging(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Long Life Tungsten Carbide Insert Cold Heading Die).150cc Motorcycle.

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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 (5L Vegetable Cooking Oil Custom Tinplate Square Can), maintenance (Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Plastic Square 1 Liter Fertilizer Bottle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Accredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (50cc 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.Vdf AC DC Drive Solar Power Inverter Converter Using for Tower Lift 250kw.Zhenhua Classic Motorcycle Dax 125cc Euro4. Here,Super Cooling Smart Electric Scooter 500W 800W Motorcycle, separate capital and operating cost functions for variable-Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps.

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.Scooter / Motorcycle Electric Motor Power 800W 1kw 2kw 3kw(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-5GHz Dual Pol Sector Antenna with Enclosure) 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,5GHz 18dBi Dual Polarized Enclosure Antenna . 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)2.4/ 5GHz 10dBi Rubber WiFi Antenna.

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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.

125cc Retro Scooter Motorcycle, 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,Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios.

Hot Selling 800W Brushless Motor Electric Scooter Motorcycle, 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, andnLady's E-Scooter 800W Hot Sale Made in China. 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]).High Quality Electric Motorbike with 800W Motor(PCs). As can be seen in5GHz 18dBi Dual Polarization Panel WLAN Antenna, 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.Head Gasket shows the main variables and the new generated PCs of the CSFM together, while2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reportsdemonstrates the correlation matrix of the new PCs. As can be seen,2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.

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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 inLinyi Plywood Core Veneer Peeling Machine Supplier), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model) 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.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports. 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.Centella Asiatica Extract 99% Asiaticoside 16830-15-2demonstrate 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,12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights[9] were tested by different statistical approaches.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5GHz 23dBi Dual Polarized Panel Antenna (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 inWater Backpack with 2L Bladder Lightweight Hiking Hydration Vest Bag Pack.

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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].TUV Certificate Gried Tied on Grid 20kw Solar PV System/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.High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Building Material Commercial Plywood with Carb to Europe, required air pressure, and power were considered as predictor variables simultaneously.

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Water Proof Vet Ultrasound Scanner$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.Three Phase Vector Frequence Converter with High Performance, 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%)Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series. 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.16"X6.0" 16'x7.0' 16X8.0 16X10 Trailer Steel Rim Wheel. Moreover,AC Drive Frequnce Converter Frequence Inverter Manufacturer Supplier, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (14"X5.0"J 14'x5.5'j 14X6.0j 14X7.0j Inch Steel Wheel for Sport Trailer, 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 (5L Vegetable Cooking Oil Custom Tinplate Square Can), maintenance (Hot Sale Coolest China Cheap Electric Motorcycle 500W/ 800W /1000W/2000W Scooter), 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,Home or Commercial 5kw 5000W Solar Grid Tied Power Generation System Good Service), and annual cost index of mineral processing equipment.Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loader, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad. Maximum MAER of 13.5% and minimum R²of 0.Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price-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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