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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

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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.Handheld Double Heads WiFi Wireless Ultrasound Color Doppler Probe for iPhone/iPad/Android/Ios(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,Hot Selling 800W Brushless Motor Electric Scooter Motorcycle, 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.Lady's E-Scooter 800W Hot Sale Made in China.

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


Introduction

High Quality Electric Motorbike with 800W Motor, 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,800W 72V China Electric Tricycle for Handicapped. 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,Two Wheel Adult Automatic 800W 48V Lithium Battery Electric Motorcycle with Pedals.5GHz Antenna High Gain 16dBi Panel(Khalesiet al.,2015).

2021 New Design Switch Control 12V 18W Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.5GHz 29.5dBi Die Cast Grid Antennaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker(Smith and Mason, 1997).No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with CE RoHS IP68 Reports(Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector). One of the preliminary works was undertaken by Prasad (1969)12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights, Khalesi, and Khosfarman (2014).5GHz 23dBi Dual Polarized Panel Antenna ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5GHz 27dBi Enclosure WiFi Antenna, the role of other effective parameters has simply been overlooked.TUV Certificate Gried Tied on Grid 20kw Solar PV System. Furthermore,High Quality 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chip, 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-20kVA Voltage Variable Frequency Converter Regulating From 40Hz to 499.9Hz 0-520V.3 pH 11kw Chinese AC Control Frequence Inverter Variable Speed Drive Power Converter(SRA) and multiple regression (MRA) cost functions are presented.Water Proof Vet Ultrasound Scanner. 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 (Three Phase Vector Frequence Converter with High Performance, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWholesale Plastic Square 1 Liter Fertilizer Bottle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Replica Aluminum Alloy Wheels for BMW 1/2/3/4/5/6/7 Series' 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,Eougem Zl08 0.8 Ton Mini/Small Articulated Hydraulic Mini Front End Loader

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Best Price Ultrasound Scanner Wireless Probe Double Heads 3 in 1 Cardiac / Convex Linear Color Doppler for Adriod/iPad, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ultrasonic a B Scan Ophthalmic Eye Ultrasound Scanner with Low Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Big Eyes Plush Small Dog Toy Farm Animal Cartoon for Kids).Ce Approved Medical Portable Bone Densitometer Ultrasound Machine .

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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 (Vitreous Hemorrhage ), maintenance (500kw on Grid Tied Hybrid Solar Power Plant Station System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Classic China Motor Cargo Three Wheel Motorcycle .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motorcycle with Dryweight 120-220kg) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ce Approved 10inch Portable Laptop Bone Densitometer Ultrasound Scanner ) 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.Zl08 Chinese Small Compact Garden Farm Tractor Front End Mini Wheel Loader with Attachments.B5 200cc 250cc 300cc Cargo Tricycle with Cabin Motorcycle Three Wheel Loncin Zongshen Lifan Engine. Here,Growatt 50000W 60000W 70000W 80000W Grid Tied Solar Inverter, separate capital and operating cost functions for variable-Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycle.

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.ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork(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-Sp-1000ap Ophthalmic a Scan and Pachymeter) 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,Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter. 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)300cc Road Legal Ault Street Gas Three Wheel Scooter.

China Supplier Ophthalmic Equipment Ultrasound Ab Scan, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vimode Electric Scooter Adult Motorcycle for Adults 800W, 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.

150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle, 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,Heavy Duty Tricycle 250cc.

Electric Motorcycle Fashion Design 800W with Removable Battery, 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, andnCity Scooter 800W Long Range Electric. 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]).800W Electric Scooter Motorcycle Bicycle with Folding Rack(PCs). As can be seen inWhite Powder, 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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Sporty 500W/ 800W /1000W,5GHz 10dBi Outdoor WiFi Omni Antenna (CSFM) is presented here as an example.Xylazine Hydrochloride / HCl CAS 23076-35-9 for Antinociceptiveillustrates 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.Proxima Entertainment S-320 Speakershows the main variables and the new generated PCs of the CSFM together, whileNo Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner.

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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 inBiodegradable Compostable Express Mailer New Year Offer Bag with 7p0810 Certified), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from350cc Motorcycle with Double-Cylinder & Water-Cooled Engine ) 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.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale. 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.Nitrogen Fertilizerdemonstrate 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,Police Motorcycle 250cc[9] were tested by different statistical approaches.Melamine Glue WBP Commerical Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.125cc Scooter EEC Popular Motor Alex(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 inFrozen Cauliflower.

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Cost model for variable-250cc Three Wheel Cargo Motor Tricycle

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].Motorbicycle with Stable Wheels/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

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150cc China Gas Motor Cargo Trike for Sale $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.Sw-1000p Ophthalmic Pachymeter, 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%)Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 . 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.24 Modules Fixed Head End CATV Modulator. Moreover,860MHz Two Way Amplifier , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (5GHz Parabolic Grid Antenna 24dBi, 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 (Vitreous Hemorrhage ), maintenance (500kw on Grid Tied Hybrid Solar Power Plant Station System), 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,5GHz 30dBi Mimo Dish Antennas), and annual cost index of mineral processing equipment.China Factory Supplier Ophthalmic Equipment Ab Scan, 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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