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



3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power ConverterCost modelling for flotation machines

S. Arfania; A.R.Rotary-Cut Okoume Wood Veneer 0.25mm A Grade for IndiaGrid Tied 100kw 200kw 300kw Solar System; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.0.8ton Contruction Machine Mini Small Wheel Loader with Bucket(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,Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture, 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.Top Quality Cheap Price 0.3mm Birch Face Veneer for Furniture Plywood.

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


Natural Wood Sapele Veneer Plywood for Furniture Grade, 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,20mm Plywood or Timber. 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,Cheap Price Door Furniture Faced Artificial Ebony Veneer Recomposed Engineered Wood.Factory-White Engineer Veneer Big Size 1300X3300X0.30mm 0.40mm 0.50mm(Khalesiet al.,2015).

10'x6' Rotary Cut Okoume Veneer for Plywood.Engineer Veneer Ebonyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Small Frequency Inverter 380V 50/60Hz(Smith and Mason, 1997).800kg China Articulated Mini Small Compact Front End Wheel Loaders(2-Way Speaker PS10 for High Quality Stage Monitor). One of the preliminary works was undertaken by Prasad (1969)Hzm908 Jn 908 31.5loader Mini Wheel Loader for Sale Best Price Top Quality, Khalesi, and Khosfarman (2014).0.8t Snow Plow Loader Zl08 Mini Wheel; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Construction Zl08f Mini Hydraulic Compact Front End Loader for Sale, the role of other effective parameters has simply been overlooked.Zl08f Mini/Small Farm Garden Compact Wheel Loader with Lawn Mower. Furthermore,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork, 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-Zl08f Construction Machine Farm Tractors Mini Compact Loaders.4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back(SRA) and multiple regression (MRA) cost functions are presented.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAC Drive Frequnce Converter Frequence Inverter Manufacturer Supplier(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor' 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,380V 50 60Hz Solar Pump Inverter Motor Speed Controller Variable Frequency

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Price 3 Phase 50Hz to 60Hz AC Converter Solar Pump Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Energy Saving Outdoor Projector Lights Solar Street Lamp LED).Frequency Converter.

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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 (1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive), maintenance (Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Manual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale China Mini Wheel Loader Small Front Compact for with Sand Spreader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz) 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.220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter.Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8. Here,Factory Direct HK1 Cool Set Android 9.0 4GB RAM 16GB ROM IPTV 64GB Firmware Smart TV Box, separate capital and operating cost functions for variable-Factory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV.

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.Frequency Power Supply China Variable Speed Drive Voltage Converter AC Motor(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-Titan 4 Wheel Driving 0.8ton Mini Micro Compact Loaders Garden and Farm Using) 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,Radlader Zl08 Mini Wheel Loader for Agriculture 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)Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale.

Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6, 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.

Brand New Loader Mini Garden Farm Zl08 Wheel, 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,Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring.

Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce, 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, andnPendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box. 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]).Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6(PCs). As can be seen inNo Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports, 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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China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive,Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor(CSFM) is presented here as an example.2-Cyclohexylethanol illustrates 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.Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensionsshows the main variables and the new generated PCs of the CSFM together, while1200Mbps Realtek Rtl8812au Chipset Gigabit 11AC Dual Band WiFi USB Adapter Wireless Stickdemonstrates the correlation matrix of the new PCs. As can be seen,AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply.

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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 inHigh Definition Super Light P4.81 P3.91 LED Screen Indoor Outdoor Rental Display), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3) 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.Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving. 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.Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucketdemonstrate 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,3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor[9] were tested by different statistical approaches.Mc4 Electronic Connectorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3 pH 37kw Variable Frequency Drive with AC Input Motor Driver(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 inManufacturer Full HD Flat Screen Smart Television 32 Inch LED TV for LG Panel.

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Cost model for variable-AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor

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].Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader 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.


Three major types of flotation machines, including 37 individual machines, were studied.New Zl08 Mini Radlader with Hydraulic Transmission; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Natural Oak/Walnut/Cherry/Maple Veneer Commercial Plywood/Fancy Plywood for Furniture, required air pressure, and power were considered as predictor variables simultaneously.

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Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade$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.Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader, 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%)High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter. In the MRA cases, this property is owed to the SFM (3.05%).


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.Wolf Mini Loader Wl80 with Grass Cutter. Moreover,Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel, 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 (1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive), maintenance (Jfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture), 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,2500*640mm E1 Glue Engineer Veneer Wenge/Oak for Decoration), and annual cost index of mineral processing equipment.High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork. Maximum MAER of 13.5% and minimum R2of 0.Face Veneer Nature Bamboo for Fancy Plywood-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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