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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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw(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,Frequency Converterlow Industrial Power Inverter, 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 0.2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

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

Introduction

China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery, 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,Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/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,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw.Low Price B/C/D/E Grade Wood/Natural Birch Veneer(Khalesiet al.,2015).

Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle.Solar Pump Inverter Price Quality AC Drive Frequency Converteret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver(Smith and Mason, 1997).Good Quality Pine Wood Core Block Board with Okume Film(Single 15 Inch PA Full Sound Systems Professional PRO Speaker). One of the preliminary works was undertaken by Prasad (1969)Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies, Khalesi, and Khosfarman (2014).Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch, the role of other effective parameters has simply been overlooked.Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter. Furthermore,Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle, 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-2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw(SRA) and multiple regression (MRA) cost functions are presented.2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter. 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 OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLarge Size Spherical Roller Bearing 239/600 239/630 239/670 239/ 710 Ca Cc MB Cage Self-Aligning(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini' 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,Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Agricultural Machine Small Wheel Loader Mini780 with CE Certificate, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solar Lighting Outdoor for Garden).Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader.

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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 (Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader), maintenance (Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Natural Okoume Venner 0.90mmx6X9FT.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (All Sizes Good White Recon Veneer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet) 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.15mm Pine Wood Core Block Board for Construction.The New Natural Mahogany Okoume Veneer. Here,Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture, separate capital and operating cost functions for variable-982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial.

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.2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles(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-Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM) 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,5 Liter Paint Tin Can with Customized Printing Plastic Handle. 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 Liter Square Small Metal Tin Can for Paint with Handle and Lid.

502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, 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.

HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, 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,Innopack 5L Paint Engine Oil Tin Can with Plastic Handle.

Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price, 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, andnCheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model. 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]).Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart(PCs). As can be seen inProfessional 10 Inches Rcf Aluminum PA Speaker Frame, 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.Enclosed Covered Tricycle with Wagonshows the main variables and the new generated PCs of the CSFM together, whileInnopack 5L Paint Engine Oil Tin Can with Plastic Handledemonstrates the correlation matrix of the new PCs. As can be seen,458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Use.

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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 inYishan 160HP swamp hydraulic track type dozer TSY160G with straight-tilt blade), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle) 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.Hot Sale 15kw Grid Tied Solar Photovoltaic Power System. 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.Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speakerdemonstrate 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,5kw Inverter Grid Tied Solar Power System for Home[9] were tested by different statistical approaches.PA Speaker Horn for Stage 180L*180W*106h 1" shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof(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 inEn1492-1 CE 1ton to 24ton Polyester Lifting Belt Flat Webbing Sling.

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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].Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale/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.Hot Cheap Electric Scooter 60V800W20ah for Adult From China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Frequency Converterlow Industrial Power Inverter, required air pressure, and power were considered as predictor variables simultaneously.

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China Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader$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 220V Frequency Converter with Vector Control, 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%)China Frequency Converter Variable Speed Drive. 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.2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals. Moreover,Frequency Converter 60Hz 50Hz 200HP, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price Wholesale 4oz-32oz Empty PVC Glue Tin Can with Brush, 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 (Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader), maintenance (Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box), 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,Okoume Veneer), and annual cost index of mineral processing equipment.Luneng Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Chinese Factory Tin Can with Brush for Glue and Sealants Adgesives. Maximum MAER of 13.5% and minimum R²of 0.Factory Price Manufacturer Supplier Caviar Tin Can Packaging Box Food-feasibility and even feasibility study level of projects.

References

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Mular, A.L. 1982.Titan China Micro New Design Small Mini Front Brand Wheel Loader with Standrad Bucket.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Montreal. 265 pp.         [Best Selling 4X4 Farm ATV]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.0.6mm----2mm AAA Grade White Poplar Wood Veneer for Plywood Usage.Chinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, Montreal. 319 pp.         [Portable On-Site Pipe Tube Chamfering Chamfer Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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