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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


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S. Arfania; A.R.220VDC to 220VAC Variable Frequency InverterHigh Quality Chemical Product 4- ; 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.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine(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,Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump, 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.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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


380V 400Hz 3p AC Drive Hot 15kw Frequency Converter, 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,Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz. 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,3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw.VFD Frequency Converter Inverter for Constant Pressure Water Supply(Khalesiet al.,2015).

AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters.7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pumpet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Disodium Phosphate Sell by Factory(Smith and Mason, 1997).large cabin and powerful engine Customized 0.8ton mini wheel loader(Er08 New CE Approved Small Shovel Loader). One of the preliminary works was undertaken by Prasad (1969)Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale, Khalesi, and Khosfarman (2014).Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,AL908 0.8ton Wheel Loader Machinery for Sale, the role of other effective parameters has simply been overlooked.Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket. Furthermore,800kg China Small Front High Quality Wheel Loader for Sale in Europe, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Melamine Glue WBP Commerical Plywood.Decorative Pine Groove Plywood Veneer Fancy(SRA) and multiple regression (MRA) cost functions are presented.E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inElectronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;18mm Embossed Melamine Faced Commercial Plywood for Furniture Making' 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,AC Drive

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 60V 800W Brushless Motor Two Wheel Electric Motorcycle, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sell Well 800W 60V Electric Motorcycle for Daily Riding(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ce and RoHS Certificated Back Illuminated Letter Frame with LED Neon Light).China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System.

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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 (15kw Grid Tied Solar System), maintenance (Rosen 8kw Grid Tied on Solar Panel System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Grid Tied 11kw Solar Panel System Home Commercial Power Supply) 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.5kw Grid Tied Solar Power System for Home Use.12kw Grid Tied Solar System. Here,Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, separate capital and operating cost functions for variable-200cc/300cc Adults Racing Go Kart for Sale Ce Certificate.

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.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible(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-0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump) 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,Jarol Strong Overload Capacity AC Drive Frequency Inverter . 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)China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible.

Sporty Electric Scooter , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (SMD3014/2835 AC/DC Underwater LED Swimming Pool Light, 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.

30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box, 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,Best Selling 4X4 Farm ATV.

Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao, 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, andnGood Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery. 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]).Suspension Delivery Chinese 800W Electric Motorcycle Small Long Range Accessories Two Wheels(PCs). As can be seen inUNS NO2200 Nickel Plate, 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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Plywood Mdo / Hdo for Concrete Formwork Slab Form,Electric Scooter/ Motorcycle/TM-Monya(CSFM) is presented here as an example.Disperse Dyestuff Violet Recp-Hf 100% for Textileillustrates 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.China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9shows the main variables and the new generated PCs of the CSFM together, whileOphthalmic a Scan Portable Handheld Biometerdemonstrates the correlation matrix of the new PCs. As can be seen,Electric Scooter with Anti-Theft Motor Lock .

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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 inChristmas Decoration Snowflake Neon Lights Motif Rope LED Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier) 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.Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult. 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.10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetoothdemonstrate 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,RGB/White 18W PAR56 LED Swimming Pool Light[9] were tested by different statistical approaches.Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light(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 inBar Stripe Organza Voile Sheer Curtain Fabric 0082132.

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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].18W Recessed IP68 PAR56 LED swimming Pool Underwater Light/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.18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump, required air pressure, and power were considered as predictor variables simultaneously.

Hot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt. Moreover, the operating cost was detailed in different cost items.WiFi Control IP68 PC Surface Mounted Underwater Lights 18W 24W 35W RGBW LED with 2year Warranty, indicated inSugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, and major extrapolation should be avoided.

24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light$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.The Thinnest Wall Pool Underwater Swimming Light 18 Volts, 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%)Rosen 7kw Grid Tied on Solar Panel System. 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.11kw Grid Tied Solar Energy System Industrial Power Supply. Moreover,Customized 18mm Carb Birch Okoumen Plywood, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Plywood for The Furniture/Construction, 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 (15kw Grid Tied Solar System), maintenance (Rosen 8kw Grid Tied on Solar Panel System), 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,3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use), and annual cost index of mineral processing equipment.Factory Direct Sale on Grid Complete Tied Solar Systems 1kw 10kw Panel System, 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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