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


1200Mbps Wireless WiFi Extender Repeater/Router Dual Band 2.4 & 5GHz Wps Signal Strong PenetrabilityCost modelling for flotation machines

S. Arfania; A.R.2021 New E Bike Best Mini Electric for AdultsIntelligent Power Saver for Industry Use; 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.Power Saver Device (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,1liter Empty Paint Tin Can with Lids Factory, 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.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports.

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


60V800W Electric Scooter with Highlight Rear Box, 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,Empty Canister White Metal Round Packaging Cans Box Tea Tins. 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,2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip(Khalesiet al.,2015).

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Thirty-seven major flotation machines (High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in20W/30W/50W Fiber Laser Marking Machine for Metal/Plastic and All The Metals(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mountain Using Motorcycle with Strong Steel Tube Frame' 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),20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fruit Flavor Disposable Waffles Vape Puff Plus Device).Mopa Fiber Laser Marking Machine for Black Printing.

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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 (20W Table Fiber Laser Marking Machine for Metal Stainless Steel), maintenance (Portable Handheld Metal Plastic DOT Peen Marking Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5150-5850MHz Sector Panel Antenna with Gain 13dBi.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dirt Bike for Sport Using with Large Power Engine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Electricity Saver 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.3 Phase 50 - 60Hz Intelligent Power Saver.High Efficient Industrial Electric Motor Power Saver. Here,EEC 125/300cc Euro 5V Max Scooter-Alex One, separate capital and operating cost functions for variable-Electricity Power Reducer .

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.Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25(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-Electrical Saver Box ) 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,Sector Panel Antenna . 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)15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire.

Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg, 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.

Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25, 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,Three Wheel Motor Tricycle Rickshaw Rear Axle.

Gas Powered Adult Tricycle Motor Farm, 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, andnMotorcar for Both Civilc and Police Using with 320cc Displacement. 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]).Police Using of Motorcycle for Cruiser with Displacement 320cc(PCs). As can be seen inCold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, 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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7kwh Multi-Function Solar Energy Lithium Battery Ion for Home,5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain(CSFM) is presented here as an example.3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverterillustrates 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.1L and 5L Can for Antifreezing Liquidshows the main variables and the new generated PCs of the CSFM together, while1L HDPE Plastic Bottle Chemicaldemonstrates the correlation matrix of the new PCs. As can be seen,45cm Offset Satellite TV Antenna with 200 Hour UV Test.

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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 in100-240V 50/60Hz Us Plug Vertical Type DC Switching Adapter 12V), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromQuadrant Framed Grey Glass Shower Enclosure Sliding Door Simple Room) 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 0.45cm Offset Satellite Dish TV Antennas. 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.Globalipl Body Face Slimming Fine Jaw Line 20MHz Devicedemonstrate 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,150ah Lithium Iron Phosphate [9] were tested by different statistical approaches.Factory Supply Disodium Phosphate Anhydrous Food Additiveshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2.4-2.5GHz/5-5.8GHz Dual Frequency WiFi Antenna Internet for Things(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 in2014 Brand New Empire White Lace High Neck Organza Wedding Dresses Bridal Gowns.

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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].C Band Satellite TV Antenna 150cm/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.Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1liter Empty Paint Tin Can with Lids Factory, required air pressure, and power were considered as predictor variables simultaneously.

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Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female$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 0.4000W/5000W off Grid Tied Solar Power System, 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%)Internet TV Box Linux IPTV Zgemma I55. 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.L-Guard Wheel Loader L-5 OTR 45/65-45 Cheap Wholesale Tyres. Moreover,High Quality 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (24V 40ah Lithium Iron Battery for Electric Bike, 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 (20W Table Fiber Laser Marking Machine for Metal Stainless Steel), maintenance (Portable Handheld Metal Plastic DOT Peen Marking Machine), 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,Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector), and annual cost index of mineral processing equipment.Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector. Maximum MAER of 13.5% and minimum R2of 0.Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty-feasibility and even feasibility study level of projects.


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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Cheap Electric Scooter 500W Pedal Bicycle 25km/H for Export]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.DC 1000V Mc4 Cable Connectors ,vol. 115. pp. 789-797.         [Linear Type Fully Automatic Paper Box Pack Flavor Milk PE Film Heat Shrink Packaging Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

10'' Inch Ferrite WooferElectric Motorcycle Corresponding author

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