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


PA System LED Light Trolley Tws Woofer Speaker Party AudioCost modelling for flotation machines

S. Arfania; A.R.The Best Sale and Low Price Chinese Brake Lathe Diesel Engine with Four-Stroke Used for Cylinder Generator Set; 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.Melamine MDF E1 E0 Carb P2 Grade(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,Transparent Ceramics Hot Press Sintering Furnace, 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 0.6mm Raw Plain MDF ISO9001/ Carb for Decoration.

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


ISO, 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,Se0/Fsc/ Carb Naf 18mm MDF Board. 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,HPM410W Submerged Integrated Level Sensor Transmitter.Industrial Mining All Welded Anti Explosion Pressure Transmitter(Khalesiet al.,2015).

GAS Wind Pressure Transmitter with Data Display.Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDFet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Media Player Android 6.0 2g+16g Internet Smart TV Box(Smith and Mason, 1997).Coconut Shell Carbon Charcoal Making Machines Production Line(1L Metal Tin Cans with Lid for Paint or Chemical). One of the preliminary works was undertaken by Prasad (1969)2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board, Khalesi, and Khosfarman (2014).Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, the role of other effective parameters has simply been overlooked.Glue E1 Carb Plain Mositure-Proof MDF. Furthermore,Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Draught Fan Digital LED Micro Air Wind Pressure Sensor.HPM128 High stability Explosion-proof Pressure Transmitte(SRA) and multiple regression (MRA) cost functions are presented.Compressor Low Cost Small Type Pressure Transducer. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Hot Sale Motorcycle with 150cc Gy6 Engine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDl-Isoleucine Powder CAS Number 443- 79 -8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;HPM766 Dry diaphragm membrane sanitary pressure transducer' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Gy6 125cc Sproty Scooter /Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (55cm Princess Lovely Lifelike Soft Body100% Handmade Detailed Painting Collectibles Art Doll Reborn Baby).Top Grade Cross-Country Motorcycle Tire 120/90-18.

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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 (Gy6 Engine 150cc Gasoline Scooter for Adults), maintenance (Flat film Clamp Hygienic Pressure Sensor Transmitter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Steel Wheel Hub Buggy 150cc ATV.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (150cc 200cc Gas ATV Quad for Adults) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18) 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.Raw Petro High Temperature Sapphire Pressure Transmitter.Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale. Here,EEC Euro 5 Gy6 -125cc Motorcycle Scooters, separate capital and operating cost functions for variable-Gy6 Engine Gas Scooter.

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.150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV(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-Gy6 -50cc OEM Gas 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,150cc off Road Utility ATV with Reverse . 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)Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids.

Gy6 150cc Gasoline Scooter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zongshen 150cc Cargo Tricycle with Top Cover, 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.

Gy6 150cc Gas Scooter, 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,150cc 5 Speeds Forwader ATV 4 Wheelers Farm .

150cc Gy6 Engine Automatic ATV Sports Quad Bike, 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, andnHot Selling Electric Race Vietnam Motorcycle Tire . 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]).Gy6 150cc Gasoline Scooter(PCs). As can be seen inConvex Series Probe Type Wireless Mini Ultrasound Scanner, 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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Gy6 -50cc Scooter,China 150cc Gy6 Gasoline Scooter(CSFM) is presented here as an example.4inch Outdoor Use Full Range for Public System Wall-Mounted Speakerillustrates 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.458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Useshows the main variables and the new generated PCs of the CSFM together, whileSnow Mobile Rubber Track Gas Adult Ski Scooterdemonstrates the correlation matrix of the new PCs. As can be seen,Euro 4 Certificate.

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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 in30ml Vc Red Pomegranate Essence Hemp Oil Massage Essential Oils Hydrating Soothes Skin Care Pure Plant Extract), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm) 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 Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light. 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.2021 New Arrival Malaysian Eyebrowdemonstrate 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,150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.[9] were tested by different statistical approaches.Conical Twin Screw PVC /CPVC Plastic Extruder/PVC Pipe Extrusion Machine Production Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Performance Motorcycle Tire for Senegal (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 inStandalone Two Door Controller.

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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].300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo /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.Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Transparent Ceramics Hot Press Sintering Furnace, required air pressure, and power were considered as predictor variables simultaneously.

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Portable Automatic Ultrasound Bone Analyzer Densitometer$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 0.300cc New Classic Cheap Cargo Tricycle , 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%)Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 . 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.HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond. Moreover,Ophthalmic Pachymeter , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (6A Grade Indian Beard, 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 (Gy6 Engine 150cc Gasoline Scooter for Adults), maintenance (Flat film Clamp Hygienic Pressure Sensor Transmitter), 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,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder), and annual cost index of mineral processing equipment.50W LED Bulb Marking, 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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