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



Free Sample Organic Chemicals 1Cost modelling for flotation machines

S. Arfania; A.R.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 ReportsDare Dual 8" Neodymium Active Line Array Set PA System; 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.Wholesale High Performance Metal Mc4 Connector(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,No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip, 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 0.1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car.

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


2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, 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,IP67 1000V 3 to 1 PV Mc4 T Branch Solar Connector. 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,Portable Fiber Laser Marking Machine for Vin Code/Number.1L Empty Round Edilbe Cooking Oil Metal Tin(Khalesiet al.,2015).

2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K.Max Source Fiber Machine Laser Marking for Vin Numberet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 200cc Racing Go Kart for Sale Cheap(Smith and Mason, 1997).1L Custom Round Small Metal Empty Tin Cans with Lids(New X96 Mini Android Set Top Box 4K S905W 1GB). One of the preliminary works was undertaken by Prasad (1969)2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, Khalesi, and Khosfarman (2014).500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1L Microstome Metal Drum Customization Printing Logo, the role of other effective parameters has simply been overlooked.1L Metal Tin Cans with Lid for Paint or Chemical. Furthermore,Free Sample 5GHz Antenna Rubber Gain, 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-Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module .1L Printed Round Metal Paint Tin Can with Lid(SRA) and multiple regression (MRA) cost functions are presented.4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid' 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,Dirt Bike for 199 Cc Displacement

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sab-500 Ophthalmic a/B Scanner, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30*42*7mm 6806 61806 61806t 61806y 1806s C3 C0 C2 Cm Open Metric Thin-Section Radial Single Row Deep Groove Ball Bearing for Instrument Robot Industry Machinery).200cc Reverse Wholesale Motor Light Three Wheel Motorcycle .

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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 (Industrial Energy Saving Device Made in China), maintenance (150cc Enclosed Gasoline Motorized Cargo Trike with Box ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Power Saver Box Energy) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Power Saver Energy Saving Device) 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.Power Saver for Industrial .Industry Saveing Box . Here,Industry Saveing Box , separate capital and operating cost functions for variable-Motorcyle with Bore * Stroke 66*58.2 mm.

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.Electricity Saving Device 600amp (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-250cc Motor Cabin Tricycle Cargo with Canopy) 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,Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price. 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)Flexible Label Laser Marking Machine.

Flying Laser Marking System Marker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (800W Color Fashion Electric Motorcycle, 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.

20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine, 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,Label Marking Equipment Laser Machine for Car Body Labels.

Electric Bike 800W ODM Mountain Ebike with Powerful Motor, 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, andnLatest Electric Scooter 800W Citycoco. 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]).16/24 Channel RF Combiner Passive Mixer(PCs). As can be seen inWholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G, 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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Sport Using Motor Vehicle with Sealed Chain Final Drive,GS-a 12mm CATV Fixed RF Attenuator(CSFM) is presented here as an example.2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcyclesillustrates 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.IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Lightshows the main variables and the new generated PCs of the CSFM together, while2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale.

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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 inLovelinks Charms Switzerland Jewelleries), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCrystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer) 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.New 50cc Monkey Bike Gasoline Motorcycle Euro 4. 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.Karaoke Voice Reduction Professional Audio Converter Proaudio 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,China 250cc New 3 Wheel Motorcycle Motor Tricycle[9] were tested by different statistical approaches.Hot Melt Adhesive Film & TPU Making Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3ru 24 in 1 CATV Fixed Channel Modulator (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 inCustom Printed Teardrop Banner Poles.

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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].Satellite Ts Encryption HD Receiver with Multiplexing Function/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.Motor Tricycle Three Wheel Cargo Trike for Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip, required air pressure, and power were considered as predictor variables simultaneously.

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8 Channels HDMI to DVB-T Modulator$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.Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, 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%)Motor Vehicle for High Speed and Stable Function. 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.Outdoor 750MHz One Way CATV Trunk Amplifier . Moreover,China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (New Racing Motorcycle, 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 (Industrial Energy Saving Device Made in China), maintenance (150cc Enclosed Gasoline Motorized Cargo Trike with Box ), 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,Cheap 3 Wheel Cargo Tricycle with Box ), and annual cost index of mineral processing equipment.Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Motorcycle for 1405mm of Wheel Base. Maximum MAER of 13.5% and minimum R2of 0.IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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