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


Grid Tied 30kw Solar PV System for Shingle RoofCost 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.800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale(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,Cheap Small Electric Scooter Moped 800W Motorcycle, 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.Frequency Converter for Small Power Motors 3pH 380V 50/60Hz.

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


Manufacturer of Rectangular Brake Oil Motor Engine Tin Can, 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,2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System. 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,Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil.866 5kw on Grid Solar System with Power Inverter for Home(Khalesiet al.,2015).

Food Grade Metal Tin Can with Printing Logo for Cooking Oil.Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lidet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for No Flicker Glare Cost-Effective Products12V 18W LED Swimming Pool Light with Two Years Warranty(Smith and Mason, 1997).800W Electric Scooter (Hot Sale on-Grid 20kw Grid Tied Solar Power Home System). One of the preliminary works was undertaken by Prasad (1969)Good-Sealing Square Tin Can Engine Oil with Metal Lid, Khalesi, and Khosfarman (2014).0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Special Design Braided Veneer with Red Walnut, the role of other effective parameters has simply been overlooked.Natural Wood Bintangor Face Veneer for Door and Furniture. Furthermore,Vector Frequency Converter with High Performance for Automatic Production Equipment, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Natural Horizontal Bamboo Veneer for Panel Board.Frequency Converter with SVC and Vf Control 380V 50/60Hz(SRA) and multiple regression (MRA) cost functions are presented.Electric Motorcycle . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High-Performance Frequency Converter Three Phase 380V 50/60Hz, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inInternet TV Box Linux IPTV Zgemma I55(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesale' 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,750ml Metal Tin Can Container for Chili Oil Canning

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Metal Engine Oil Can Recycling Lubricant Tin Packaging Container(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1ton Professional Inverted Motor Stage Hoist for Aluminium Truss).2L Galvanized Tin Cans for Cooking Oil with Plastic Lids.

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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 (Electric Motorcycles ), maintenance (Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Zl08 Chargeuse 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.Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.500W EEC Electric scooter. Here,Electric Motorcycle , separate capital and operating cost functions for variable-Solar Electric Motorcycle.

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.Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K(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-OEM 1500W EEC Electric Scooter ) 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,New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini. 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)0.25mm Natural Wood Face Veneer.

2L Empty Tin Container for Engine Oil Lubricant, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High-Performance Three Phase Frequency Converter 380V 50/60Hz, 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.

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,EEC Electric Scooter .

800w /1100w EEC Electric Scooter , 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 Produce Natural Face Veneer Size 1220X1830X0.25mm. 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]).Electric Motorcycle/Scooter/Bike (PCs). As can be seen inFactory Price 7000W Home Solar Power Generator System Grid Tied, 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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No Foldable 40-60km Range Per Charge EEC Electric Scooter,1 Wheel Electric Motorcycle/One Scooter(CSFM) is presented here as an example.3 pH 90kw Supply Motor Speed Controller Power Inverter Diving Compressorillustrates 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.K10 K20 P30 Tungsten Carbide Plate Strips for Cuttingshows the main variables and the new generated PCs of the CSFM together, whileSuper 20MHz RF Beauty Machinedemonstrates the correlation matrix of the new PCs. As can be seen,High-Performance Frequency Converter/AC Drive 380V 50/60Hz.

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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 inSexy Bead Bride Dress Luxury Lace Embroidered Tulle Wedding), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromKaraoke Wireless Portable Wooden Bluetooth PA Speaker) 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.Hot Sale High Performance Vector Frequency Converter 380V 45/55kw. 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.300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottledemonstrate 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,Single/Three Phase 220V 380V Vector Control Frequency Converter[9] were tested by different statistical approaches.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SAshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory-Enginneered Veneer Ash in 0.30mm(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 inCustomized Metal Decoration Gift Engraved Dog Tag for Wholesale.

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Cost model for variable-Small Frequency Inverter 380V 50/60Hz

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].China Single Phase Variable Frequency Inverter 1.5kw/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.1.2mm White Poplar Veneer From Factory for Exporting; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cheap Small Electric Scooter Moped 800W Motorcycle, required air pressure, and power were considered as predictor variables simultaneously.

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Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price$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.Popular 800W Power Electric Scooter, 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%)1250X2500mm Rotary Cut Okoume Veneer Cheap Prices. 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.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader. Moreover,2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, 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 (Electric Motorcycles ), maintenance (Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry), 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,Wolf 0.8t 800kg Mini Loader with Euro 3 Engine), and annual cost index of mineral processing equipment.500- 800W 48V 20ah OEM manufacturers Electric Scooter, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

PA Woofer Speaker T- 10 12 153 Phase 50 - 60Hz Intelligent Power SaverCorresponding author

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