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.Frequency Converter Three Phase Variable Speed Drive 220kw Generator Air Pump(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,AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter, 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.Jarol Converter 220 380 Inverter 220V to 380V Frequency 50Hz 60Hz.

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

Introduction

3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules, 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,Bt 4.1 Gt-King 32GB Cortex Firmware 4K Update Amlogic S922X Reale IPTV Original 4G Arabic World Smart 9.0 Android TV Box. 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,Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Player.Customized Supported Android 9.0 X96 Air Media Box(Khalesiet al.,2015).

Mini Loader/Small Wheel Loader Zl08 with CE.China Original Mini Bucket 0.8ton Wheel Loader Yz908 Construction Equipmentet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q(Smith and Mason, 1997).Small Wheel Loader Zl08 CE(Two-Way Full Range 1000W Professional Power Speaker). One of the preliminary works was undertaken by Prasad (1969)Mini Small Hot Sale in Europe Wheel Loader for, Khalesi, and Khosfarman (2014).Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Titan Super Mini Compact Radlader Front Loaders for Sale with Pallet Forks, the role of other effective parameters has simply been overlooked.AC Drive Output and Triple Frequency Converter 60 Hz 50 Power Supply. Furthermore,Titan Brand 0.8 Ton Farm Garden Use Mini Smalll Wheel Loader for Sale, 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-Mini Wheel Loader Hot Sale with Pallet Fork Zl908.220V 3HP Frequency Converter(SRA) and multiple regression (MRA) cost functions are presented.AC Frequency Converter2HP 1phase. 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 (China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inInnopack 16oz 0.5liter Biodegradable Plastic Cold Pressed Juice Bottle with Screw Cap(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter' 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,New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High disposable manufacturers of high-absorption baby diapers in China).G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K.

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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 (Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor), maintenance (Vectron Frequency Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV) 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.Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box.Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader. Here,Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw, separate capital and operating cost functions for variable-50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive.

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.Inverter AC Drive(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 and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control) 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,Small Compact Front Wheel Loader / Zl08 Farm Garden Mini. 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)DC/AC Drive Inverter Solar Pump Converter 1.5kw Motor Green Energy.

Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, 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.

800kg Farm Mini Loader Chargeur Minilader Cargador, 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,Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D.

VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing 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, andnRadlader Zl08 Wheel Loader for Sale Mini Articulated. 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]).Customized Bintangor Plywood Face Veneer of Commercial(PCs). As can be seen in43" Indoor Narrow Bezel Floor Standstand Alone and Networked LCD Advertising Display Digital Signage, 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.Bio-Degradable Brown Kraft Food Packaging Bagshows the main variables and the new generated PCs of the CSFM together, whileChina Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Maskdemonstrates the correlation matrix of the new PCs. As can be seen,Dyed Skateboard Veneer.

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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 inWholesale Mens 100% Cotton Fashion Zipper Design Travel Drawstring Hoodies/ Sweatshirt with Multi Functional Pockets), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale 15kw Grid Tied Solar Photovoltaic Power System) 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.American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood. 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.2.50- 17 demonstrate 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,Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter[9] were tested by different statistical approaches.2021 Factory New Electric Bicycle Hot Sale Cool Sport Motorcycle Made in Chinashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood(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 inMuslim Jewelry Turkish Style 925 Sterling Silver Islamic Fashion Men Rings for Sale.

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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].0.8ton Contruction Machine Mini Small Wheel Loader with Bucket/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.Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter, required air pressure, and power were considered as predictor variables simultaneously.

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20mm Plywood or Timber$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.Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood, 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%)Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm. 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.10'x6' Rotary Cut Okoume Veneer for Plywood. Moreover,Engineer Veneer Ebony, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (800kg China Articulated Mini Small Compact Front End Wheel Loaders, 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 (Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor), maintenance (Vectron Frequency Inverter), 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,Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality), and annual cost index of mineral processing equipment.0.8t Snow Plow Loader Zl08 Mini Wheel, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale. Maximum MAER of 13.5% and minimum R²of 0.Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower-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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