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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

One and Half Rows Three Wheeler for SaleCost modelling for flotation machines

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.15kw Solar Inverter Grid Tied(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,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, 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.China Famous Brand Hr912 Shovel Loader for Agriculture Working.

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


Introduction

Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System, 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,25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader. 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,Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter.China Factory Lithium 150ah Battery with BMS AC Output(Khalesiet al.,2015).

Intelligent Power Saver for Industry Use.CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farmet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dare 10inch Passive Line Array Sound System(Smith and Mason, 1997).Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary(Retro Electric Motorcycle Scooter ). One of the preliminary works was undertaken by Prasad (1969)RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, Khalesi, and Khosfarman (2014).Made in China Strong Compact Mini Front Loader ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, the role of other effective parameters has simply been overlooked.Manufacture 20W Fiber Laser Marking Machine for Engraving. Furthermore,3kw Air-Cooled UHF Digital TV Transmitter DTV, 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-RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports.Wholesale High Performance Metal Mc4 Connector(SRA) and multiple regression (MRA) cost functions are presented.No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (1L Four-Color Cmyk Printing Lubricant Oil Packaging Tin Can for Car, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 New Design High Purity 18W Underwater LED Swimming Pool Light with Edison Chip' 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,Max Source Fiber Machine Laser Marking for Vin Number

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Custom Round Small Metal Empty Tin Cans with Lids, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Protective Face Mask).500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo .

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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 (1L Microstome Metal Drum Customization Printing Logo), maintenance (1L Metal Tin Cans with Lid for Paint or Chemical) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Free Sample 5GHz Antenna Rubber Gain.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1L Printed Round Metal Paint Tin Can with Lid) 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.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. Here,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, separate capital and operating cost functions for variable-High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty.

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.E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw(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-Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner) 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,Erbium-Doped Fiber Amplifier Optical Power Adjustable . 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)Dirt Bike for 199 Cc Displacement.

Sab-500 Ophthalmic a/B Scanner, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works ([Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, 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.

200cc Reverse Wholesale Motor Light Three Wheel Motorcycle , 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,Industrial Energy Saving Device Made in China.

150cc Enclosed Gasoline Motorized Cargo Trike with Box , 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, andnXprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner. 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]).Power Saver Box Energy(PCs). As can be seen inCustomization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System, 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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Power Saver for Industrial ,Industry Saveing Box (CSFM) is presented here as an example.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800Willustrates 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.Free Sample Organic Chemicals 1shows the main variables and the new generated PCs of the CSFM together, whileDare Dual 8" Neodymium Active Line Array Set PA Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Industry Saveing Box .

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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 inLED Neon 220V Flexible Strip Lights Ribbon Christmas Outdoor String RGB Tape Light Rope), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Racing Motorcycle) 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.Electricity Saving Device 600amp . 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.Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7demonstrate 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,250cc Motor Cabin Tricycle Cargo with Canopy[9] were tested by different statistical approaches.2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcyclesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price(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 in2000W Sheet Metal Stainless Fiber Laser Cutting Machine.

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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].Flying Laser Marking System Marker/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.800W Color Fashion Electric Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, required air pressure, and power were considered as predictor variables simultaneously.

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Electric Bike 800W ODM Mountain Ebike with Powerful Motor$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.Latest Electric Scooter 800W Citycoco, 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%)16/24 Channel RF Combiner Passive Mixer. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

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.150cc Cheap Open Gas Reverse Trike . Moreover,Sport Using Motor Vehicle with Sealed Chain Final Drive, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (GS-a 12mm CATV Fixed RF Attenuator, 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 (1L Microstome Metal Drum Customization Printing Logo), maintenance (1L Metal Tin Cans with Lid for Paint or Chemical), 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,250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale), and annual cost index of mineral processing equipment.Automatic High Effective Medical Ultrasound Bone Densitometer , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,New 50cc Monkey Bike Gasoline Motorcycle Euro 4. Maximum MAER of 13.5% and minimum R2of 0.China 250cc New 3 Wheel Motorcycle Motor Tricycle-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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