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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

Jacuzzi Massage Endless Swimming Pool Swim SPACost modelling for flotation machines

S. Arfania; A.R.220V 3HP Frequency Converter220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use; 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.AC Frequency Converter2HP 1phase(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 Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save, 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.Electric Motor AC Output Power and Triple Frequency Converter VFD Drive Inverter.

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


Introduction

Supprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxes, 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,Articulated Compact Small Mini Wheeled Dumper Loader. 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,Zl08f Wheel Loaders with Ce Farm 0.8 Ton Tractor Mini/Small Compact.7.5HP Frequency Converter Vector(Khalesiet al.,2015).

New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Quality.Factory Price 0.8 Ton Best Cheap Mini Compact Wheel Loader with Ceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 15kw Grid Tied Solar Power System for Home Use(Smith and Mason, 1997).Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader(High Quality Coffee /Candy/Weed /Hemp Plastic Container). One of the preliminary works was undertaken by Prasad (1969)G52 Gt-King Controls Android Pendoo Freesat 9.0 Smart 64GB Recarga Octa Core TV Box 4K, Khalesi, and Khosfarman (2014).Variable Frequency Drive Inverter Manufacturer 3 pH Power Saver AC Synchronous Motor; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vectron Frequency Inverter, the role of other effective parameters has simply been overlooked.Zl08f Mini Small Farm Compact Tractor Wheel Loader with Standard Bucket. Furthermore,Zl08f Mini/Small Farm Garden Compact Tractor Wheel Loader with Best Price, 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-OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV.Beautiful Design T95 RAM 4GB ROM 32GB Allwinner H616 Universal 4K TV Android 10.0 Set Top Box(SRA) and multiple regression (MRA) cost functions are presented.Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket Loader. 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 (Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Price Wholesale Vespa Electric Scooter Motorcycle Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive' 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,Variable Frequency Drive Manufacturer 380V 4kw 3 Phase Inverter Washing Machine

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Frequency Converter Variable Drive 50Hz to 60Hz 2HP 2. Kw 1 Phase, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),800kg Farm Mini Loader Chargeur Minilader Cargador(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Atutomatic Rotary Pillow Package Machine for Cookies).Titan Brand Mini Small Chargeur De Roues Radlader Gommata Carregador Roda Cargador Ruedaschargeur Tracteur Traktorlader Caricatore Trattore D.

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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 (VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine), maintenance (Radlader Zl08 Wheel Loader for Sale Mini Articulated) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Customized Bintangor Plywood Face Veneer of Commercial.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dual Core L55 Freesat IPTV Morocco Installato DVB Set Top Gospel Price DDR4 IP 4K TV Box Android) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (0.18mm Engineered Wood Face Veneer) 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.4K J45 128GB Stick Firmware Download User Manual for Cable Junction Android TV Box.Dyed Skateboard Veneer. Here,J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Box, separate capital and operating cost functions for variable-American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywood.

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.Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter(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-Comaccord D and E Grade 0.26mm Birch/Oak/Ash Face Veneer for Vietnam Furniture Plywood) 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,Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for India. 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)0.8ton Contruction Machine Mini Small Wheel Loader with Bucket.

Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood, 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.

Natural Wood Sapele Veneer Plywood for Furniture Grade, 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,20mm Plywood or Timber.

Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood, 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, andnFactory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm. 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]).10'x6' Rotary Cut Okoume Veneer for Plywood(PCs). As can be seen inMethyl 2-Bromovalerate CAS 19129-92-1 with Safety Delivery, 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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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.0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducershows the main variables and the new generated PCs of the CSFM together, whileChina Manufacturer Decorative Engineered Wood Veneerdemonstrates the correlation matrix of the new PCs. As can be seen,0.8t Snow Plow Loader Zl08 Mini Wheel.

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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 in720p Mini Plastic Dome Ahd Camera), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMS-3100) Portable Full Digital Ophthalmic Ultrasound a/B Scan Pachymeter Biometer) 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.Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower. 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.Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoedemonstrate 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,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork[9] were tested by different statistical approaches.Hardwood Core Okume/Bintangor Commercial Plywood with Carb /Ce Certificationshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Zl08f Construction Machine Farm Tractors Mini Compact Loaders(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 in2021 Automated Hydraulic Concrete/Cement Hollow/Solid/Pavement/Curbstone/ Paver/Paving/Interlock Block/Brick Making/Molding Machine in Qt4-15/Alc.

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Cost model for variable-4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back

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].0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell/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.Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Frequency Converter Variable Speed Drive 7.5kw Inverter Three Phase Power Save, required air pressure, and power were considered as predictor variables simultaneously.

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2.8X1.9 Large Size Rotary Cut Okoume Face Veneer$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.Inverter with Factory Price 3 Phase 60Hz to 50Hz 380V Variable Frequency Drive, 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%)Veneer Engineer Poplar Cross Grain 0.50mm. 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.380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency. Moreover,Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter, 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 (VFD 0.75kw 220V 230V 1HP AC Motor Controller 50Hz 60Hz Frequency Inverter for Washing Machine), maintenance (Radlader Zl08 Wheel Loader for Sale Mini Articulated), 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,Frequency Converter), and annual cost index of mineral processing equipment.1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive, 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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