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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

PA 10 -35W 5.25'' Sound Ceiling SpeakerCost modelling for flotation machines

S. Arfania; A.R.Bi-Directional Transmission Distribution Amplifier SA822Aluminum Speaker Box for 3" Column ; M.R. Khalesi

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.Encryption Ts Satellite IRD(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,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods, 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.Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike.

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


Introduction

2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad, 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,Closed Canvas Box 2 Ton Cargo Tricycle. 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,Sanyou 125cc Efi System with Delivery Box Gas Scooter.New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle(Khalesiet al.,2015).

28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale.250cc Oil Cooling Dirt Bike with EPAet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01(Smith and Mason, 1997).Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter(HDPE Water/Gas Supply Pipe Extrusion Line). One of the preliminary works was undertaken by Prasad (1969)250cc Gasoline off Road Motorbike, Khalesi, and Khosfarman (2014).0.6m 5GHz Parabolic Antenna with Gain 28dBi; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart, the role of other effective parameters has simply been overlooked.150cc 200cc 250cc ATV Quad Bike for Adults. Furthermore,4 Stroke Buggy 150cc ATV, 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-High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS.The Newest 110cc 125cc 150cc Toyota Mini Buggy (SRA) and multiple regression (MRA) cost functions are presented.High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS. 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 (High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inJwell Raincoat TPU Film Extrusion Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;0.4m 5GHz Parabolic Antenna with Gain 23dBi' 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,New Mini Willys Jeep Available on 110cc

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,150cc ATV for Adults Lmatv-150hm, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized UV Resistant Gold Color 3D Soft Sticker for Cars).High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip.

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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 (L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25), maintenance (150cc Quad 4WD ATV for Adults) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty) 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.5kw Grid Tied Solar Inverter Three Phase for Home Use.High Quality Solar PV Grid- Tied Inverters. Here,2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip, separate capital and operating cost functions for variable-Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P.

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.2 Ton Loader 3 Wheel Cargo Tricycle(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-Grid Tied Inverter 3kw) 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,5kw Solar PV Kit Power Gird Tied Inverter. 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)Factory Mining Tyre.

Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (150cc Front Cabin Cargo 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.

OTR G2 Grader Tubeless Tyre 17.5-25, 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,1L Metal Screw Top Round Machine Oil Tank.

Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container, 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, andnE3/L3 Pattern Bias Loader Radical Pneumatic Solid Grader OTR 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]).Pneumtic Forklift Tyre/Industrial Tyre/NHS Tyre (PCs). As can be seen inGood Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame, 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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17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders,20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre(CSFM) is presented here as an example.Dual 10inch PA Audio Line Array Speaker Box Systemillustrates 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.Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loadershows the main variables and the new generated PCs of the CSFM together, whileFactory-Slicer Natural American Red Oak Veneer in 0.50mmdemonstrates the correlation matrix of the new PCs. As can be seen,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights.

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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 inA Grade Frozen Carrot Dice 5 mm Frozen-Diced-Carrot), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from50cc EEC Motorcycle Scooter Efi Moped) 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.Llantas High Quality L5 OTR Tyre 26.5-25. 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.Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Usedemonstrate 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,1L Empty Round Brake Fluid Can Boxes[9] were tested by different statistical approaches.Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPEshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder(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 inEasy Installation Good Quality Silicone Rubber Cold Shrink Tube.

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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].Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding/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.1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods, required air pressure, and power were considered as predictor variables simultaneously.

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Heavy Loader 5wheel Cargo Tricycle with Cabin$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.High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine, 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%)Motor Cargo Tricycle for 2-3ton Loader. 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.1L Empty Round Tin Can with Plastic Lid Manufacturer. Moreover,1L Extra Virgin Olive Oil Metal Can with Cover, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W, 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 (L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25), maintenance (150cc Quad 4WD ATV 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,Gy6 -125/ 150ccformaular), and annual cost index of mineral processing equipment.Double Chasis Cargo Tricycle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Euro 5 Gy6 -50cc 4t Moped. Maximum MAER of 13.5% and minimum R2of 0.Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter -feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for MillingThree Phase AC Variable Speed Frequency Converter Fan Motor Pump ControllerCorresponding author

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