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Print version ISSN2225-6253

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



Single 18'' Low Frequency Sub-BassCost modelling for flotation machines

S. Arfania; A.R.USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device10 Inch Coaxial Speaker Professional Driver 250wrms Line Array; 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 Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong(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 Resealable Selable Paint Tin Cans for Glue and Chemical Use, 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 0.4u 16 in 1 Agile CATV RF Modulator Channels.

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


Thinner Plain Color 1L Metal Can with Screw Cap, 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,Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container. 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,HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic.Cheap Price Electric Four Wheels Environment Protection Car for Adults(Khalesiet al.,2015).

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Thirty-seven major flotation machines (2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCosmetic Grade L-Arginine with Best Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Three Wheel Trolley Tube Type Tire 90/90-18(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1325 Wood Cutting Machine).High accuracy stability Monocrystalline Silicon Pressure Transmitter.

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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 (Discount High Strength 90/90-19 Motorcycle Tyre/Tire), maintenance (New Pattern Best Price 110/90- 17 Motorcycle Tire) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Tire Brands to Avoid 2.50- 17 Solid Tire..076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm) 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.2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.Chinese 300cc Cheap Farm Gas Trike . Here,3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., separate capital and operating cost functions for variable-Thin-film Sputtering Pressure Transmitter For Medical Equipment.

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 Surface Mounted Swimming Pool Underwater LED Light with Edison Chip(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-Ophthalmic Ultrasonic Pachymeter and Biometer) 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,2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment. 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)2021 New Arrival Malaysian Eyebrow.

18" Remy Hair Lace Front Closure Natural Color Body Wave, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin, 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.

2D Echo Color Doppler Ultrasound Scanner, 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,Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions.

8-30inches Malaysian Straight Hair Bundles 100% Human Weaves, 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, andnOphthalmic Biometer &Pachymeter . 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]).New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H(PCs). As can be seen inSe0/Fsc/ Carb Naf 18mm MDF Board, 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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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.Line Array Horn of Professional Audio 170L*160W*140h 1" shows the main variables and the new generated PCs of the CSFM together, whileProfessional Carbon Black Masterbatch Factory for Rubbish Bagdemonstrates the correlation matrix of the new PCs. As can be seen,50cc EEC Motorcycle Scooter Efi Moped.

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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 in2021 Factory Price Kids Train Outdoor Playground), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Wholesale Tx3 S905X3 Quad Core Bt 4.1 Great Arabic 64bit 4GB 64GB TV Box Android) 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 0.50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi . 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.Stc-12kw/15kVA Three Phase AC Electric Generator on Saledemonstrate 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,Zhenhua New T5 300cc Motorcycle Efi[9] were tested by different statistical approaches.Dirt Bike for 199 Cc Displacementshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.EEC Efi Racing Motorbike Motorcycles 125cc(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 inVd3 Calcium and Phosphorus Vitamin D3.

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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].High Speed Kawasaki Ninja Motorcycle 250cc/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.Mini Nameplate Pneumatic Engraving Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use, required air pressure, and power were considered as predictor variables simultaneously.

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Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes$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.BAW Made of Electric Car with Lithium Battery, 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%)EEC L2e 1500W 3 Wheel Enclosed Electric Cabin 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.M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car. Moreover,50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (4x2 electric pickup truck/ Electric vehicle/ car, 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 (Discount High Strength 90/90-19 Motorcycle Tyre/Tire), maintenance (New Pattern Best Price 110/90- 17 Motorcycle Tire), 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,Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle ), and annual cost index of mineral processing equipment.2021 New Products Motor Power 800W Electric Trolley Tractor, and over- extrapolation could result in misguiding estimates.

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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Logistics Service FedEx Express From China to Bulgaria]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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