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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.Popular 800W Power Electric Scooter(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,1250X2500mm Rotary Cut Okoume Veneer Cheap Prices, 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.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.

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

Introduction

2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System, 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,Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08. 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,Wolf 0.8t 800kg Mini Loader with Euro 3 Engine.500- 800W 48V 20ah OEM manufacturers Electric Scooter(Khalesiet al.,2015).

800W Brushless Adult Electric Scooter.2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753(Smith and Mason, 1997).Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle(8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container). One of the preliminary works was undertaken by Prasad (1969)Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter, Khalesi, and Khosfarman (2014).1L Beer Can; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Electric Scooter Factory, the role of other effective parameters has simply been overlooked.Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults. Furthermore,1L Panit Can, 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-1L and 5L Can for Antifreezing Liquid.2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle(SRA) and multiple regression (MRA) cost functions are presented.Pump Inverter Variable Frequency Drive Manufacturers AC Supplier. 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 (Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados' 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,0.75kw-11kw Three Phase 380V Frequency Inverter VFD

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2876 10kw Home Used Solar Power System on Grid Roof(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Imitation Fashion Jewellery 925 Sterling Silver or Brass Cubic Zirconia Bracelets for Girls).2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof.

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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 (AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture), maintenance (Radiate Pine Face Veneer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Grade AA Veneer Furniture Building Material Plywood to Dubai.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer of Enigine Oil Can) 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.Small Wheel Loader Wl80 800kg Loaders for Farm Work.1L Tin Can for Camellia Oil . Here,CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, separate capital and operating cost functions for variable-Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box.

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 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle(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-Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core) 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,Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box. 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)Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia.

5 Litre Extra Olive Oil Tin Can , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw, 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.

Frequency Converterlow Industrial Power Inverter, 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,2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

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whereC_eis the estimated cost,C_athe actual cost, andnThree Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter. 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]).DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw(PCs). As can be seen inMini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control, 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.Plastic PVC/CPVC Electricity Conduit Tube/ Water Sewage Pressure Pipe/Gas Hose/ Profile/Sheet Extrusion &Extruding Production Line Priceshows the main variables and the new generated PCs of the CSFM together, whileDiesel Central Drive Three Wheel Dumper for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Good Quality Pine Wood Core Block Board with Okume Film.

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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 inSale in Sri Lanka 24X24 Gray Porcelain Floor Tile), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W) 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.Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits. 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.Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Pricedemonstrate 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,Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch[9] were tested by different statistical approaches.800W 72V China Electric Tricycle for Handicappedshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter(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 inOne Person Soaking Bathtub for Denmark Markets.

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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].2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters/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.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1250X2500mm Rotary Cut Okoume Veneer Cheap Prices, required air pressure, and power were considered as predictor variables simultaneously.

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Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini$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.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service, 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%)Wolf Shovel Loader E5 for Agriculture Work. 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.Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock. Moreover,Wolf Wl80 Mini Dumper Loader with Bucket, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket, 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 (AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture), maintenance (Radiate Pine Face Veneer), 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,Agricultural Machine Small Wheel Loader Mini780 with CE Certificate), and annual cost index of mineral processing equipment.Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders, 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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