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


24W Bluetooth Soundbox & WiFi Mobile APP Voice Control Customized Smart RGB Tunable Children Room Kids LED Ceiling LampCost modelling for flotation machines

S. Arfania; A.R.Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency ConverterZiplock Dog Food Bag with Bottom Gusset; 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.Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor(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,Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System, 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.No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip.

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


No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme, 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,TUV Certificate Gried Tied on Grid 30kw Solar Power 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,2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme.China Frequency Inverter Drive AC Motor Speed Controller with Great Price(Khalesiet al.,2015).

China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC.3000W Grid Tied Solar System for Home Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Triple Phase Variable Frequency Inverter AC Drive(Smith and Mason, 1997).Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm(Nitrogen Fertilizer Steel Grade as From China Factory). One of the preliminary works was undertaken by Prasad (1969)Sapelli Plywood, Khalesi, and Khosfarman (2014).The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth, the role of other effective parameters has simply been overlooked.Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart. Furthermore,Electric Scooter 800W 60V20ah Lead Acid, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-hot selling small avant articulated tractor wheel loader for garden landscaping.UV White Birch Plywood 18mm Carb E0 Cabinet(SRA) and multiple regression (MRA) cost functions are presented.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCE Er08 Mini Wheel Loader with One-Year Warranty for Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic' 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,Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Home Indoor Assault Cycling Commercial Gym Fitness Magnetic Exercise Spinning Bike).China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin.

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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 Eougem Zl08 Wheel Loader with Torque Converter), maintenance (Articulated Mini Wheel Loader Er08 Telescopic Boom) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Design Go Kart 150cc ) 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.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router.48V/60V 800W Electric Scooter with Lead-Acid Battery. Here,800W 60V Lead-Acid Battery Electric Bicycle with Back Rest, separate capital and operating cost functions for variable-Electric Motorcycle 800W for Adult Motor.

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.Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB(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-800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery) 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,Rosen 5kw on Grid Solar System with Tied 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)Solar Energy System 5kw Panel Home Grid Tied Power.

200kw Grid Tied Solar System for Factory Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System, 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.

1kw Solar Power System Grid Tied 1000W on Panel Price, 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,Commercial Solar System 100kw Grid Tied /on 100kVA 60kw.

Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, 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, andnPumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT. 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 selling compact 800kgs wheel loader for garden(PCs). As can be seen inHotel Bedroom Furniture/Hotel Furniture/Apartment Living Room Sofa/Hospitality Sofa/Hotel Sofa/Modern Sofa for 5 Star , 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 Safe Automatic CVT 150cc Go Kart Motor with Reverse,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive(CSFM) is presented here as an example.Underwater Swimming Pool Light Decoration LED Lampillustrates 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.High Purity Organic Intermediate  1shows the main variables and the new generated PCs of the CSFM together, whileElectric Motorcycle demonstrates the correlation matrix of the new PCs. As can be seen,Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter.

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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 in8 Inch Battery Digital Photo Frame with Touch Screen), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromJarol Frequency Inverter with High Quality ) 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.Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China. 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 Speaker System PRO Audio Entertainment Speakers demonstrate 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,Variable Speed Drive Phree Phase Frequency Converter 1000Hz[9] were tested by different statistical approaches.Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Quality Acrylic/PVC/Poly /PU Paper Laminated Plywood MDF From Factory(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 inSofa Fabric for Upholstery.

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Cost model for variable-3 Phase VFD AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive

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].Carb P2 Okoume Plywood for Furniture/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.15mm AAA Grade Film Faced Plywood with WBP Glue; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System, required air pressure, and power were considered as predictor variables simultaneously.

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150CC Go Kart $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.Full Size 150cc Go Kart , 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%)Go Kart . 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.Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid. Moreover,Wolf Wl80 Mini Dumper Euro 5 Loader for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader, 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 Eougem Zl08 Wheel Loader with Torque Converter), maintenance (Articulated Mini Wheel Loader Er08 Telescopic Boom), 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,High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector), and annual cost index of mineral processing equipment.WLAN WiFi Yagi Antenna, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna. Maximum MAER of 13.5% and minimum R2of 0.150cc Go Kart with EEC -feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modules2021 New Design Plastic Injection Molding Machine Made in ChinaCorresponding author

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