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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.Pump Inverter Variable Frequency Drive Manufacturers AC Supplier(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,Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal, 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.Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados.

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

Introduction

China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock, 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 Inverter Solar Pump Vector Air Compressor Power Transformer. 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,Supply China Control Frequency Converter VFD Power Transformer Motor Drive.MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator(Khalesiet al.,2015).

0.75kw-11kw Three Phase 380V Frequency Inverter VFD.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly(Smith and Mason, 1997).2876 10kw Home Used Solar Power System on Grid Roof(EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter). One of the preliminary works was undertaken by Prasad (1969)2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof, Khalesi, and Khosfarman (2014).AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Radiate Pine Face Veneer, the role of other effective parameters has simply been overlooked.Grade AA Veneer Furniture Building Material Plywood to Dubai. Furthermore,1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid, 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-Manufacturer of Enigine Oil Can.Small Wheel Loader Wl80 800kg Loaders for Farm Work(SRA) and multiple regression (MRA) cost functions are presented.1L Tin Can for Camellia Oil . 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 (CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBig Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Frequency Converterlow Industrial Power Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Auto Spare Part Deep Groove Ball Bearing for Engineer Motor).2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

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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 (China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery), maintenance (Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Low Price B/C/D/E Grade Wood/Natural Birch Veneer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult 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.Solar Pump Inverter Price Quality AC Drive Frequency Converter.Good Quality Pine Wood Core Block Board with Okume Film. Here,Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies, separate capital and operating cost functions for variable-Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits.

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.Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch(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-Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter) 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,Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle. 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 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters.

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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.

Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce, 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,Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini.

Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service, 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, andnWolf Shovel Loader E5 for Agriculture Work. 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]).Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock(PCs). As can be seen inE-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw, 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.aluminium LCD wall panel surveillance flat displayshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Radio Frequency Aesthetic Equipmentdemonstrates the correlation matrix of the new PCs. As can be seen,Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders.

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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 inOutdoor Exterior Security IP65 97LEDs Light LED Solar Wall Lamp with PIR Motion Sensor for Garden Gate), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe) 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.Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader. 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.Excavator Cylinder Seal for E307b Boom Cyl Repair Partsdemonstrate 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,Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box[9] were tested by different statistical approaches.Ce ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packagingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Natural Okoume Venner 0.90mmx6X9FT(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 in80W 160lm/W 12800 Lumen Lampadaire Iluminacion Luces Lampu Lampen LED China Energy Saving E27 Street Corn Light Bulb.

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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].Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet/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.15mm Pine Wood Core Block Board for Construction; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal, required air pressure, and power were considered as predictor variables simultaneously.

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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.5 Liter Paint Tin Can with Customized Printing Plastic Handle. Moreover,2 Liter Square Small Metal Tin Can for Paint with Handle and Lid, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, 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 (China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery), maintenance (Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/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,2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use), and annual cost index of mineral processing equipment.HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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