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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and DecorationCost modelling for flotation machines

S. Arfania; A.R.Factory-Enginneered Veneer Ash in 0.30mm17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim; 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.Small Frequency Inverter 380V 50/60Hz(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,China Single Phase Variable Frequency Inverter 1.5kw, 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 0.1.2mm White Poplar Veneer From Factory for Exporting.

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


Introduction

Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw, 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,Eucalyptus Core or Birch for Veneer with Grade AA. 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,Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price.Popular 800W Power Electric Scooter(Khalesiet al.,2015).

1250X2500mm Rotary Cut Okoume Veneer Cheap Prices.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood(Smith and Mason, 1997).2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System(Vitamin a Palmitate CAS 79 -81-2). One of the preliminary works was undertaken by Prasad (1969)Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, Khalesi, and Khosfarman (2014).Wolf 0.8t 800kg Mini Loader with Euro 3 Engine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,500- 800W 48V 20ah OEM manufacturers Electric Scooter, the role of other effective parameters has simply been overlooked.800W Brushless Adult Electric Scooter. Furthermore,2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric 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-Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle.Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter(SRA) and multiple regression (MRA) cost functions are presented.1L Beer Can. 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 (High Quality Electric Scooter Factory, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults' 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,Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eco Friendly Clear Cornstarch Biodegradable Poly Bags).Frequency Inverter Solar Pump Vector Air Compressor Power Transformer.

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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 (Supply China Control Frequency Converter VFD Power Transformer Motor Drive), maintenance (MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,0.75kw-11kw Three Phase 380V Frequency Inverter VFD.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2876 10kw Home Used Solar Power System on Grid Roof) 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.2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof.AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture. Here,Radiate Pine Face Veneer, separate capital and operating cost functions for variable-Grade AA Veneer Furniture Building Material Plywood to Dubai.

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.1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid(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-Manufacturer of Enigine Oil Can) 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,Small Wheel Loader Wl80 800kg Loaders for Farm Work. 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)1L Tin Can for Camellia Oil .

CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core.

Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box, 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).

whereCeis the estimated cost,Cathe actual cost, andnJunuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia. 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]).5 Litre Extra Olive Oil Tin Can (PCs). As can be seen in8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Frequency Converterlow Industrial Power Inverter,2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use(CSFM) is presented here as an example.PE Geomembrane/Waterproof Sheet Extrusion Lineillustrates 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.Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Controlshows the main variables and the new generated PCs of the CSFM together, whileGood Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Pricedemonstrates the correlation matrix of the new PCs. As can be seen,China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inFashionable Red Computer Messenger Case Sleeve Bag Backpack Handbags), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDiesel Central Drive Three Wheel Dumper for Sale) 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw. 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.3 Phase 50 - 60Hz Intelligent Power Saverdemonstrate 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,Low Price B/C/D/E Grade Wood/Natural Birch Veneer[9] were tested by different statistical approaches.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800Wshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle(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 inWholesale Latest Design Silver Fashion Jewellery Cubic Zirconia Iced out Hip Hop Letter Pendants Charms for Men.

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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].Good Quality Pine Wood Core Block Board with Okume Film/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 Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Single Phase Variable Frequency Inverter 1.5kw, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter$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.Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle, 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%)2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters. 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.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw. Moreover,2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce, 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 (Supply China Control Frequency Converter VFD Power Transformer Motor Drive), maintenance (MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator), 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,Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini), and annual cost index of mineral processing equipment.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Wolf Shovel Loader E5 for Agriculture Work. Maximum MAER of 13.5% and minimum R2of 0.Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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