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



Gy6 150cc Gasoline ScooterCost modelling for flotation machines

S. Arfania; A.R.1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal AmplifierManufacturer Supply Bdo Novel Intermediate 1; 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.Roadside Emergency Set Auto Car Tool Kit(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,SA831r Outdoor Return Path CATV Trunk Amplifier, 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 0.2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.

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


Portable Induction Heater for Crystal Growth, 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,Dry diaphragm membrane sanitary pressure transducer. 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,Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale.High Frequency Induction Heater (Khalesiet al.,2015).

Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace.Softel 4u 12 Channel Agile CATV Analog RF Modulatoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Truck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003(Smith and Mason, 1997).Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool(Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816). One of the preliminary works was undertaken by Prasad (1969)Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car, Khalesi, and Khosfarman (2014).High Quality Melamine MDF with Competitive Price Ce Carb Grade; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF, the role of other effective parameters has simply been overlooked.The Best Sale and Low Price Chinese Brake Lathe . Furthermore,Melamine MDF E1 E0 Carb P2 Grade, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Transparent Ceramics Hot Press Sintering Furnace.6mm Raw Plain MDF ISO9001/ Carb for Decoration(SRA) and multiple regression (MRA) cost functions are presented.ISO. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Se0/Fsc/ Carb Naf 18mm MDF Board, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh-Performance Frequency Converter/AC Drive 380V 50/60Hz(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;HPM410W Submerged Integrated Level Sensor Transmitter' 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,2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Safety Pin).Glue E1 Carb Plain Mositure-Proof MDF.

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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 (Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification), maintenance (Draught Fan Digital LED Micro Air Wind Pressure Sensor) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,HPM128 High stability Explosion-proof Pressure Transmitte.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Compressor Low Cost Small Type Pressure Transducer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hot Sale Motorcycle with 150cc Gy6 Engine) 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.HPM766 Dry diaphragm membrane sanitary pressure transducer.150cc Gy6 Engine Gasoline Scooter. Here,Gy6 Engine 150cc Scooter, separate capital and operating cost functions for variable-Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip.

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.Digital Display Superior 316L integrated Pressure Transducer(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-High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp) 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,RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light. 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)Gy6 125cc Sproty Scooter /Motorcycle.

Top Grade Cross-Country Motorcycle Tire 120/90-18, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gy6 Engine 150cc Gasoline Scooter for Adults, 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.

Flat film Clamp Hygienic Pressure Sensor Transmitter, 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,Steel Wheel Hub Buggy 150cc ATV.

150cc 200cc Gas ATV Quad for Adults, 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 to Nigeria Market Manufacture Motorbike Tyre 3.50-18. 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]).Raw Petro High Temperature Sapphire Pressure Transmitter(PCs). As can be seen in100% Copper Wire St-7.5kw Single Phase Alternator Factory Price, 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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EEC Euro 5 Gy6 -125cc Motorcycle Scooters,Gy6 Engine Gas Scooter(CSFM) is presented here as an example.PA System LED Light Trolley Tws Woofer Speaker Party Audioillustrates 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.Diesel Engine with Four-Stroke Used for Cylinder Generator Setshows the main variables and the new generated PCs of the CSFM together, while1L Metal Tin Cans with Lid for Paint or Chemicaldemonstrates the correlation matrix of the new PCs. As can be seen,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV.

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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 inFilling Pen Ink Powder Ci Acid Blue 93 Dye CAS 28983-56-4 Dyes), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromConvex Series Probe Type Wireless Mini Ultrasound Scanner) 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 0.150cc off Road Utility ATV with Reverse . 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.4inch Outdoor Use Full Range for Public System Wall-Mounted Speakerdemonstrate 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,Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids[9] were tested by different statistical approaches.458 Alicosolar High Efficiency 10kw on Grid Solar System Kit Home with CE/TUV/ISO for Useshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gy6 150cc Gasoline Scooter(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 inBlack Wholesale Men Design Oversized Tshirt.

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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].Gy6 150cc Gas Scooter/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.150cc 5 Speeds Forwader ATV 4 Wheelers Farm ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,SA831r Outdoor Return Path CATV Trunk Amplifier, required air pressure, and power were considered as predictor variables simultaneously.

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Gy6 150cc Gasoline Scooter$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.No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme, 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%)Gy6 -50cc Scooter. 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.China 150cc Gy6 Gasoline Scooter. Moreover,Euro 4 Certificate, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, 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 (Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification), maintenance (Draught Fan Digital LED Micro Air Wind Pressure Sensor), 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 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light), and annual cost index of mineral processing equipment.150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi., 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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