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



Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7Cost modelling for flotation machines

S. Arfania; A.R.500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo 2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles; 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.1L Microstome Metal Drum Customization Printing Logo(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,1L Metal Tin Cans with Lid for Paint or Chemical, 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.Free Sample 5GHz Antenna Rubber Gain.

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


Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module , 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,1L Printed Round Metal Paint Tin Can with Lid. 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,4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box.38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad(Khalesiet al.,2015).

Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid.High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warrantyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for AC Manufacturer 3 pH Compressor Solar Pump Inverter VFD Voltage Converter(Smith and Mason, 1997).E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw(IP68 8W-35W Surface Mounted Blue Color LED Underwater Swimming Light). One of the preliminary works was undertaken by Prasad (1969)Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, Khalesi, and Khosfarman (2014).Erbium-Doped Fiber Amplifier Optical Power Adjustable ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dirt Bike for 199 Cc Displacement, the role of other effective parameters has simply been overlooked.Sab-500 Ophthalmic a/B Scanner. Furthermore,[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, 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-200cc Reverse Wholesale Motor Light Three Wheel Motorcycle .Industrial Energy Saving Device Made in China(SRA) and multiple regression (MRA) cost functions are presented.150cc Enclosed Gasoline Motorized Cargo Trike with 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 (Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Power Saver Box Energy' 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,Motorcyle with Bore * Stroke 66*58.2 mm

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Electricity Saving Device 600amp , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),250cc Motor Cabin Tricycle Cargo with Canopy(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (imitation Jewellery Swarovski Crystal Jewelry Destiny Hoop Earrings).Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price.

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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 (Flexible Label Laser Marking Machine), maintenance (Flying Laser Marking System Marker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,800W Color Fashion Electric Motorcycle.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Label Marking Equipment Laser Machine for Car Body Labels) 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.Electric Bike 800W ODM Mountain Ebike with Powerful Motor.Latest Electric Scooter 800W Citycoco. Here,16/24 Channel RF Combiner Passive Mixer, separate capital and operating cost functions for variable-150cc Cheap Open Gas Reverse Trike .

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.Sport Using Motor Vehicle with Sealed Chain Final Drive(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-GS-a 12mm CATV Fixed RF Attenuator) 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,250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale. 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)Automatic High Effective Medical Ultrasound Bone Densitometer .

New 50cc Monkey Bike Gasoline Motorcycle Euro 4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China 250cc New 3 Wheel Motorcycle Motor Tricycle, 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.

3ru 24 in 1 CATV Fixed Channel Modulator , 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,16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle.

Satellite Ts Encryption HD Receiver with Multiplexing Function, 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, andnMotor Tricycle Three Wheel Cargo Trike for Sale. 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]).Motorbicycle for Well Done Accessories(PCs). As can be seen inSolis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter, 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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8 Channels HDMI to DVB-T Modulator,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner(CSFM) is presented here as an example.Good Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Saleillustrates 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.Karaoke Voice Reduction Professional Audio Converter Proaudio shows the main variables and the new generated PCs of the CSFM together, whileHot Melt Adhesive Film & TPU Making Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Motor Vehicle for High Speed and Stable Function.

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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 in3D Animation Laser Light Effects Projector), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSmall Compact Front Wheel Loader / Zl08 Farm Garden Mini) 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.China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box. 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.Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Containerdemonstrate 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,New Racing Motorcycle[9] were tested by different statistical approaches.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Enginesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap 3 Wheel Cargo Tricycle with Box (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 inColor Nail Polish Gel Factory Beauty Private Label UV Care Appliance Printer Supplies.

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Cost model for variable-Clinical Equipment Portable Ultrasound Bone Densitometer for Hospital

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].Motorcycle for 1405mm of Wheel Base/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.IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L Metal Tin Cans with Lid for Paint or Chemical, required air pressure, and power were considered as predictor variables simultaneously.

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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.Ho-100 Ophthalmic Ultrasound a Scan Pachymeter. Moreover,Sy-AC51 Best Price 128 Elements Wireless Probe with Color Doppler, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Innopack 1L Square Engine Oil Tin Can with Screw Cap Manufacturer, 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 (Flexible Label Laser Marking Machine), maintenance (Flying Laser Marking System Marker), 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,1L Round Tin Pail with Sealed Lid and Plastic Handle for Paint Use), and annual cost index of mineral processing equipment.5GHz Antenna High Gain 29dBi, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.2.4- 5GHz Omni Antenna , neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Pin Machine Suppliers Marker Systems]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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