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


Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64Cost modelling for flotation machines

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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.Zl08f Construction Machine Farm Tractors Mini Compact Loaders(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,4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back, 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 0.0.15mm Okoume Wood Face Veneer Rotary Cutting for Sell.

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


Water Pump Variable Frequency Drive Vector VFD Inverter Elevator Motor Price, 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,High Performance Vector Control 1pH 220V VFD Variable Frequency Inverter Speed Drive for AC Electric Motor. 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,Sapele Veneer Plywood Sheet for Wood Furniture and Decoration.2.8X1.9 Large Size Rotary Cut Okoume Face Veneer(Khalesiet al.,2015).

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Thirty-seven major flotation machines (220V 7.5kw Variable Frequency Drive VFD 3phase AC Inverter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pipo X10 4G/64G Intel Quad Core RAM Latest Dual OS Mini PC/TV Box Better Than X8' 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,Radlader Zl08 Mini Wheel Loader for Agriculture Work

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Microwave Safe Tableware Tea Customized Logo Mug Cup).Android TV Box 7.1 Smart Full HD 1080P Video Motherboard for Kodi 17.6.

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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 (Brand New Loader Mini Garden Farm Zl08 Wheel), maintenance (Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6) 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.1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China.China Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drive. Here,Vector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor, separate capital and operating cost functions for variable-AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply.

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.11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controller(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-Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving) 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,3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor. 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)3 pH 37kw Variable Frequency Drive with AC Input Motor Driver.

AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale, 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.

New Zl08 Mini Radlader with Hydraulic Transmission, 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,Yn725 G CE Approved Hot Sale Mini Wheel Loader.

Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader, 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, andnEverun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade. 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]).Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader(PCs). As can be seen inPower Saver Box Energy, 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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Wolf Mini Loader Wl80 with Grass Cutter,Solar Pump Power Supply Drive Supplier Motor Inverter DC to AC Converter(CSFM) is presented here as an example.Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Boxillustrates 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.Dual 10 " Hot Sales Q1 Line Array Speakershows the main variables and the new generated PCs of the CSFM together, whilePencil Cedar Veneer Medium Denstiy Fiberboards for Stairsdemonstrates the correlation matrix of the new PCs. As can be seen,Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small 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 inHigh Speed Gold Plated Black 20m Roll Aluminum Alloy Connector Active Fiber Optic HDMI2.0 Cable for HDTV 1080P), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBlended Powder Oil Liquid Ripex 225 for Muscle Growth) 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.High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor. 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.250ml 300ml 500ml 1L Clear Glass Juice Bottle Milkdemonstrate 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,Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork[9] were tested by different statistical approaches.Diesel Engine Parts Injection System Nozzle Dnopd619shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Face Veneer Nature Bamboo for Fancy Plywood(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 New Crop IQF Frozen Sweet Corn Kernels OEM with Factory Price.

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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].Chinese Suppliers Okoume Wood Face Veneer for Malaysia/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.Factory-Hardwood Veneer in 1300X2500mmx 0.60mm; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,4X8 Size Rotary Cut Okoume Veneer for Plywood Face and Back, required air pressure, and power were considered as predictor variables simultaneously.

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China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader$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 0.0.8ton Compact Loader Wheel in Europe, 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%)4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter. 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.11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power. Moreover,Yn725 Yineng Mini Wheel Front Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, 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 (Brand New Loader Mini Garden Farm Zl08 Wheel), maintenance (Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring), 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,JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply), and annual cost index of mineral processing equipment.Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, and over- extrapolation could result in misguiding estimates.

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Supply Procaine Hydrochloride China Top Factory Supplier Base Manufacturer Aoks]

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Khalesi, M. R., Zarei, M. J.,Hzm908 Er908 Europe Loader Mini Ce EPA Sale with Fork, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-China Manufacturer Decorative Engineered Wood Veneer.Minerals Engineering,vol. 81. pp. 103-108.         [Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [CAS 79 -57-2 Oxytetracycline]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale, Montreal. vol.13. 166 pp.         [Wholesale Night Glitter Nail Art Spider Drawing Painting Gel Supplies for Salon Beauty Design]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter China.vol. 1.Mini 220V Single Phase Input 2.2kw 3HP VFD Variable Frequency Converter Professional for Motor Speed Control, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Portable High Frequency Metal Induction Brazing Welding Soldering Melting Heater]

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Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [N- ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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