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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


15kw Grid Tied Solar Power System for Home UseCost modelling for flotation machines

S. Arfania; A.R.Brand New Loader Mini Garden Farm Zl08 WheelChemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3; 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.Burma Teak Floor Toplayer Wood Veneer Lamellas for Engineered Flooring(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,Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce, 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.Pendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Box.

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


Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6, 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,1.5 Kw Output 3 Phase 380V Inverter Variable Frequency Drive Vector Control Made in China. 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,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(Khalesiet al.,2015).

AC Converter Variable Frequency Drive 3 pH 0.75kw Output Power Supply.11kw 3 Phase Frequency Converter Solar Water Pump Power Inverter Controlleret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB(Smith and Mason, 1997).Drive Motor Solar Pump Inverter Air Compressor Frequency Converter Diving(Double Slipper Two Upper End Freestanding Soaking New Bath Tub). One of the preliminary works was undertaken by Prasad (1969)3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressor, Khalesi, and Khosfarman (2014).3 pH 37kw Variable Frequency Drive with AC Input Motor Driver; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AC Three Phase Output Drive Frequency Converter Speed Control Electric Motor, the role of other effective parameters has simply been overlooked.Zl08f Mini Hydraulic 4WD Compact Shovel Wheel Loader for Sale. Furthermore,New Zl08 Mini Radlader with Hydraulic Transmission, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Yn725 G CE Approved Hot Sale Mini Wheel Loader.Zl08f Mini Tractor Articulated Hydraulic Front End Wheel Loader(SRA) and multiple regression (MRA) cost functions are presented.Everun 2021 Brand Ce Certificated Er08 Small Construction Machinery Wheel Loader with Snow Blade. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inArm Cyl Oil Seal Kits for Sumitomo(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Converter' 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,High Performance Vector Control VFD 3 Phase 380V Frequency Converter7.5kw Inverter for AC Motor

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Zl08 0.8t Articulated Front End Wheel Loader with Pallet Fork, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Face Veneer Nature Bamboo for Fancy Plywood(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Work All Night Golden Peach Light Solar Garden).White Birch Veneer in 0.28mm/Jacky.

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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 (Chinese Suppliers Okoume Wood Face Veneer for Malaysia), maintenance (Factory-Hardwood Veneer in 1300X2500mmx 0.60mm) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725 G Ce Approved Hot Sale Mini Wheel Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Variable Frequency Drive VFD Supplier AC Converter 50Hz to 60Hz with Vector Control) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loader) 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.0.8ton Compact Loader Wheel in Europe.4 Kw China Frequency Converter Power Supply Motor Drive 3 Phase Inverter. Here,11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter Power, separate capital and operating cost functions for variable-Yn725 Yineng Mini Wheel Front Loader.

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.Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin(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-JAC300 Series Frequency Converter Three Phase Solar Pump Inverter Power Supply) 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,Yn725g Yineng Mini Wheel Loader 18.5kw Without Cabin. 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)Km3 Collective 4GB 64GB TV Box Google Certified ATV.

China Everun Er408t 0.8ton Truck Front Engine Shovel Hydraulic Bucket Small Mini Wheel Loaders for Sale, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Natural Wood Woven and Strand Bamboo Veneer Sheets Comaccord, 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.

High Quality Ebony Engineered Wood Veneer for Hot Sale, 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,China Manufacturer Decorative Engineered Wood Veneer.

Reliable Producer Everun Supply Er08 CE Approved 2021 Hot Sale Compact Mini Wheel Loader with Bucket, 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, andnGabon Okoume Veneer a B C D Grade From Factory to India. 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]).Hot Sale Natural Wood Veneer Burma Teak Quarter Cut for Plywood Door India Pakistan(PCs). As can be seen inRace 4 Stroke Gasoline 9HP Reverse Transmission Go Kart, 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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Pendoo X10 Max International Best Custom Set Top Box 4GB 32GB TV Converter Ott 4K Smart Android,China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale(CSFM) is presented here as an example.Stc Series Three Phase Dynamo Generator 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.0.15mm Rosewood Veneershows the main variables and the new generated PCs of the CSFM together, while860MHz CATV One Way Amplifiersdemonstrates the correlation matrix of the new PCs. As can be seen,Zl08 800kg Mini Tractors with Front End Dumper Loader.

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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 in15" Inch Android LED Smart Portable LCD TV), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System) 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.AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 22kw. 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.Power Frequency Converter 60Hz 50Hz 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,AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 15kw[9] were tested by different statistical approaches.Qige Supply High Quality Ulipristal Acetate Pharmaceutical Raw Materials CAS 126784-99-4 for Contraceptionshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Construction Machine Mini Loader Zl08 with Factory Price Front End(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 inEmbossed Aluminum Foil Lids for Coffee Capsules.

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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].Hybrid 3kw Solar Grid Tied Roof Top System Home Power/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.Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Zl08f Titanhi 800kg Mini Hydraulic Shovel Wheel Loader with Ce, required air pressure, and power were considered as predictor variables simultaneously.

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Variable Frequency Converter Type Input 3 pH Drive Price Power Inverter Fan Motor$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.General Type Input 3 pH 380V Frequency Converter Variable AC 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%)0.8ton Agricultural Tractor Mini/Small Front Wheel Loader. 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.Teak Wood Veneer Woven Design for Plywood Door. Moreover,AC Drive Using Solution Building Hoist Construction Frequency Inverters 3pH 380V 7.5kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Zl08 Wheel Loader Wl80 Wolf Mini, 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 (Chinese Suppliers Okoume Wood Face Veneer for Malaysia), maintenance (Factory-Hardwood Veneer in 1300X2500mmx 0.60mm), 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 0.8ton Articulated Hydraulic Farm Wheel Loader Tractor), and annual cost index of mineral processing equipment.Popular hot selling 0.8ton mini wheel loader/ front end loader with bucket on sale, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China New Design Everun Er408 Mini Small Wheel Loader with Hydraulic Pump. Maximum MAER of 13.5% and minimum R2of 0.3 Phase AC Drive for Water Pump and Fan-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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