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


White Crystal Steel Grade Ammonium Sulphate with N20.5%Cost modelling for flotation machines

S. Arfania; A.R.High Performance Motorcycle Tire for Senegal Mini electric truck/ express vehicle/ Express vehicles; 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.Double Rear Tyre Tricycle with 300cc Water Cooling Engine(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,300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo , 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.Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad.

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


12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories, 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,300cc Five Wheel Gas Cargo 3 Motorcycle for Adults . 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 Automatic Ultrasound Bone Analyzer Densitometer.300cc New Classic Cheap Cargo Tricycle (Khalesiet al.,2015).

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Thirty-seven major flotation machines (30W Bird Rings Machine Laser Marker with Rotation Working Table, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mini Handle Electric DOT Peen Marking Machine' 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,1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,4u 16 in 1 Agile CATV RF Modulator Channels, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Thinner Plain Color 1L Metal Can with Screw Cap(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Incontinence diapers for high-absorption disposable adults).Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container.

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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 (HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic), maintenance (Cheap Price Electric Four Wheels Environment Protection Car for Adults) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHz) 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.Gain 30dB 1 Output CATV House User Amplifier with AGC.Softel 24 Channel Optional RF Fixed Analog Modulator. Here,Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter, separate capital and operating cost functions for variable-Solar Energy System 3kwh Power Home Built in Inverter.

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.High Quality 3kwh Rechargeable LiFePO4 Lithium Battery(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-Automatic Thermostatic Vulcanizer for Sale ) 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,BMW N63 S63 Camshaft Alignment Tool Set . 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 -125 Spark Plug Cap OEM Quality Motorcycle Parts.

2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines, 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.

Motorcycle Parts Speed Cable for Gy6 -150, 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,Powder Metallurgy Hot Press Sintering Furnace.

Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200, 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, andnCheap Popular Pattern 3.00-18 Motorcycle Tyre. 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]).Strong Corrosion Resistance High Overload Pressure Sensor(PCs). As can be seen inHigh Brightness Stand Alone Advertising Kiosk for Government, 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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Three Wheel Trolley Tube Type Tire 90/90-18,High accuracy stability Monocrystalline Silicon Pressure Transmitter(CSFM) is presented here as an example.Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%illustrates 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.Police Motorcycle 250ccshows the main variables and the new generated PCs of the CSFM together, whilePendoo X10 Max Android 4K Smart Set Top Set-Top 4GB 64GB Firmware Ott 2GB 16GB IPTV 4G 64G RAM ROM TV Boxdemonstrates the correlation matrix of the new PCs. As can be seen,Discount High Strength 90/90-19 Motorcycle Tyre/Tire.

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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 inChina Factory Manufacturer Corn Starch Eco Friendly PLA Recycle Reusable Biodegradable Compostable Packaging Plastic Poly Mailer Bags with Certified), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew 50cc Monkey Bike Gasoline Motorcycle Euro 4) 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.Tire Brands to Avoid 2.50- 17 Solid Tire.. 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.899 Alicosolar 9kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificatedemonstrate 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,2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for[9] were tested by different statistical approaches.Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cartshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm(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 Metal Crafts Nurse/Cross/Flag/Cartoon/Flower/Anniversary/Celebration/Poppy/Police/Enamel Military Army Tin Button Souvenir Gold Lapel Badge Pins.

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Cost model for variable-2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip

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].Chinese 300cc Cheap Farm Gas Trike /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.3.00- 17 Super High Quality Natural Rubber Motorcycle Tire.; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo , required air pressure, and power were considered as predictor variables simultaneously.

Thin-film Sputtering Pressure Transmitter For Medical Equipment. Moreover, the operating cost was detailed in different cost items.High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, indicated inDual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone, and major extrapolation should be avoided.

Ophthalmic Ultrasonic Pachymeter and Biometer$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 0.2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment, 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%)2021 New Arrival Malaysian Eyebrow. 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.18" Remy Hair Lace Front Closure Natural Color Body Wave. Moreover,250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2D Echo Color Doppler Ultrasound Scanner, 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 (HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic), maintenance (Cheap Price Electric Four Wheels Environment Protection Car for Adults), 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,Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions), and annual cost index of mineral processing equipment.8-30inches Malaysian Straight Hair Bundles 100% Human Weaves, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Diesel Engine Parts Fuel Injection Nozzle 152sn924Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9Corresponding author

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