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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.Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media 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,2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle, 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.Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core.

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

Introduction

Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box, 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,Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia. 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,5 Litre Extra Olive Oil Tin Can .DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw(Khalesiet al.,2015).

Frequency Converterlow Industrial Power Inverter.2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Fully Automatic Shrink Wrapping Packing Machine(Smith and Mason, 1997).China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery(Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture). One of the preliminary works was undertaken by Prasad (1969)Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter, Khalesi, and Khosfarman (2014).DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Low Price B/C/D/E Grade Wood/Natural Birch Veneer, the role of other effective parameters has simply been overlooked.Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle. Furthermore,Solar Pump Inverter Price Quality AC Drive Frequency Converter, 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-Good Quality Pine Wood Core Block Board with Okume Film.Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies(SRA) and multiple regression (MRA) cost functions are presented.Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits. 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 (Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter' 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,Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Super Care Factory Price Disposable Women Sanitary Napkin).Wolf Shovel Loader E5 for Agriculture Work.

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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 (Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock), maintenance (Wolf Wl80 Mini Dumper Loader with Bucket) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Agricultural Machine Small Wheel Loader Mini780 with CE Certificate) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders) 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.Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader.Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader. Here,Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box, separate capital and operating cost functions for variable-Natural Okoume Venner 0.90mmx6X9FT.

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.All Sizes Good White Recon 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-Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet) 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,15mm Pine Wood Core Block Board for Construction. 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)The New Natural Mahogany Okoume Veneer.

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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.

2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles, 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,Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM.

5 Liter Paint Tin Can with Customized Printing Plastic Handle, 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, andn2 Liter Square Small Metal Tin Can for Paint with Handle and Lid. 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]).502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use(PCs). As can be seen inSingle 15 Inch PA Full Sound Systems Professional PRO Speaker, 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.Professional 10 Inches Rcf Aluminum PA Speaker Frameshows the main variables and the new generated PCs of the CSFM together, while0.8ton Zl08f Small Wheel Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price.

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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 inIP44 High End Industrial Outlet by IEC Standard), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromInnopack 5L Paint Engine Oil Tin Can with Plastic Handle) 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.Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart. 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.Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Mopeddemonstrate 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,Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver[9] were tested by different statistical approaches.16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Variable Speed Inverter China Frequency Converter AC(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 inHigh Refresh Rate Indoor P1.875 Innovative LED Display.

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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].458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use/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

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975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof$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.Rosen 55kw Grid Tied on Solar System to Global Market, 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 Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle 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.Hot Cheap Electric Scooter 60V800W20ah for Adult From China. Moreover,Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China, 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 (Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock), maintenance (Wolf Wl80 Mini Dumper Loader with Bucket), 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,China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader), and annual cost index of mineral processing equipment.Three Phase 220V Frequency Converter with Vector Control, 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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