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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

Yn725 Yineng Mini Wheel Loader 18.5kw No CabinCost modelling for flotation machines

S. Arfania; A.R.Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End LoaderDisc Atc Automatic Tools Changer Wood CNC Router Woodworking Machine; 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.Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad(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,Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price, 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.Ce Approved Medical Portable Bone Densitometer Ultrasound Machine .

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


Introduction

Vitreous Hemorrhage , 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,500kw on Grid Tied Hybrid Solar Power Plant Station System. 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,High Quality Classic China Motor Cargo Three Wheel Motorcycle .Motorcycle with Dryweight 120-220kg(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPackaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Heavy Duty Tricycle 250cc' 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,Sporty 500W/ 800W /1000W

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5GHz 10dBi Outdoor WiFi Omni Antenna , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Agriculture Tire).Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China.

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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 (Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale), maintenance (Police Motorcycle 250cc) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,125cc Scooter EEC Popular Motor Alex.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (250cc Three Wheel Cargo Motor Tricycle ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Motorbicycle with Stable Wheels) 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 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap.Scooter with Stable Function and Nice Outside Looking. Here,Motorcyle for Both Oil and Water Cooling, separate capital and operating cost functions for variable-150cc China Gas Motor Cargo Trike for Sale .

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.Sw-1000p Ophthalmic Pachymeter(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-Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 ) 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,24 Modules Fixed Head End CATV Modulator. 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)860MHz Two Way Amplifier .

5GHz Parabolic Grid Antenna 24dBi, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (5GHz 30dBi Mimo Dish Antennas, 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.

China Factory Supplier Ophthalmic Equipment Ab Scan, 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,Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna.

24 Channels Fixed Modulator, 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, andn5150-5850MHz Sector Panel Antenna 2*17dBi. 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]).12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar(PCs). As can be seen in200ml Flat Shoulder Plastic HDPE Black Shampoo Bottle, 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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Best Price Sab-500 Ophtalmic Ab Scan,Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25(CSFM) is presented here as an example.a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panelsillustrates 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.New Mini Willys Jeep Available on 110ccshows the main variables and the new generated PCs of the CSFM together, whileMotorbicycle for Well Done Accessoriesdemonstrates the correlation matrix of the new PCs. As can be seen,Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650.

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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 inEconomic Silicone Rubber for Cable), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWater Cooling Diesel Engine with 6-Cylinder for Power Generator) 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.Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System. 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.PE Waterproof Roll Extrusion Machinedemonstrate 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,Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type[9] were tested by different statistical approaches.Frame Quadrant Glass Curved Shower Cubicle for Sale Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ophthalmic Equipment Biometer Scan a(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 inHavstone Bias OTR Tyres for Loader.

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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].860MHz CATV One Way Amplifiers/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.CATV Mini Line Extending 2-Way Amplifer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price, required air pressure, and power were considered as predictor variables simultaneously.

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Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle$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.Ophthalmic a Scan Portable Handheld Biometer, 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%)Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life. 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.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System. Moreover,500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10kw Cheap Solar Panels Complete Grid Tied System, 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 (Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale), maintenance (Police Motorcycle 250cc), 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,High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle), and annual cost index of mineral processing equipment.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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