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55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart DisplayerCost modelling for flotation machines

S. Arfania; A.R.Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad CoreMobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe; M.R. Khalesi

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.Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box(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,Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia, 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 0.5 Litre Extra Olive Oil Tin Can .

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

Introduction

DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw, 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,Frequency Converterlow Industrial Power Inverter. 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,2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery(Khalesiet al.,2015).

Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kwet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Made in China Strong Compact Mini Front Loader (Smith and Mason, 1997).Low Price B/C/D/E Grade Wood/Natural Birch Veneer(962 Complete Solar System 40kw on Grid Home with High Quality). One of the preliminary works was undertaken by Prasad (1969)Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle, Khalesi, and Khosfarman (2014).Solar Pump Inverter Price Quality AC Drive Frequency Converter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Pine Wood Core Block Board with Okume Film, the role of other effective parameters has simply been overlooked.Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies. Furthermore,Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits, 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-Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch.Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter(SRA) and multiple regression (MRA) cost functions are presented.Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle. 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 (2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inExcavator Cylinder Seal for E307b Boom Cyl Repair Parts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw' 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,Wolf Shovel Loader E5 for Agriculture Work

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wolf Wl80 Mini Dumper Loader with Bucket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Tungsten Cemented Carbide Drawing Dies with High Quality).Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket.

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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 (Agricultural Machine Small Wheel Loader Mini780 with CE Certificate), maintenance (Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box) 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.Natural Okoume Venner 0.90mmx6X9FT.All Sizes Good White Recon Veneer. Here,Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet, separate capital and operating cost functions for variable-15mm Pine Wood Core Block Board for Construction.

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.The New Natural Mahogany Okoume Veneer(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-Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture) 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,982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial. 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)2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles.

Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5 Liter Paint Tin Can with Customized Printing Plastic Handle, 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.

2 Liter Square Small Metal Tin Can for Paint with Handle and Lid, 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,502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.

2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, 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, andnHK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB. 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]).Innopack 5L Paint Engine Oil Tin Can with Plastic Handle(PCs). As can be seen inRemote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801, 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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Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model,Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart(CSFM) is presented here as an example.1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdongillustrates 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.1L /1.5L Glass Juice Bottle/Beverage Bottleshows the main variables and the new generated PCs of the CSFM together, whileChina Hot Selling 1500cc Amphibious Watercraftdemonstrates the correlation matrix of the new PCs. As can be seen,Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver.

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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 inCreative Design Custom Large Fold Computer Lapel Pin Badge Metal Interactive Keyboard Laptop Enamel for Sale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromZl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce) 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.Natural Material Veneer Hand Made Woven for Wall Decoration. 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.1HP Frequency Converter Vector Three Phasedemonstrate 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,458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use[9] were tested by different statistical approaches.Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.5kw Single Phase Home Grid Tied Solar Power System(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 inIndoor/Outdoor Renal LED Display Screen Advertising TV Show.

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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].5kw Inverter Grid Tied Solar Power System for Home/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.975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Cheap Electric Scooter 60V800W20ah for Adult From China$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.Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter, 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%)Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China. 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.China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader. Moreover,Three Phase 220V Frequency Converter with Vector Control, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Frequency Converter Variable Speed Drive, 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 (Agricultural Machine Small Wheel Loader Mini780 with CE Certificate), maintenance (Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders), 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,2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals), and annual cost index of mineral processing equipment.Frequency Converter 60Hz 50Hz 200HP, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush. Maximum MAER of 13.5% and minimum R²of 0.Okoume Veneer-feasibility and even feasibility study level of projects.

References

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5 Liter Paint Tin Can with Customized Printing Plastic Handle, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Electric Motorcycle ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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