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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

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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.off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting(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,High Quality Motorcycle Parts Cam , 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.Manufacturer Solar Home System 3kwh LiFePO4 Battery.

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


Introduction

New Model Solar Home System 3kwh with LiFePO4 Battery, 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,TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV 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,Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting.3kwh Solar Energy System Home off Grid(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Solar Combiner Box DC 550V System with Mc4 Connector, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMini Wheel Loader Small Dumper Hoflader Wolf Zl08(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Wspvcc Solar PV Connector Mc4 High Effiency IP 67' 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,LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (UL Ce SMD1210 30LEDs /M 3528 Flexible LED Strip Light).IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening.

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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 (Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150), maintenance (Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal) 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.Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel.30W Handheld Vin Number Portable Laser Marking on Stainless Steel. Here,Electric Industrial Induction Heater Manufacture in China for Sale , separate capital and operating cost functions for variable-IGBT Induction Heater Heating Equipment for Metal Surface .

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.Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS(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-Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery) 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,Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming Machine. 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)Vin Number Fiber Laser Marking Machine.

Duroheater Dh- 25kw Handheld Induction Heating Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, 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.

Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine, 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,Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine.

20W 30W Handheld Vin Number Metal Logo Laser Marking Machine, 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, andnVelashape Slimming Cellulite Removal Body Sculpting Fat Machine. 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]).Popular 3kwh Hot Saling Li-ion Battery Supplier(PCs). As can be seen inProfessional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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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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.L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250Wshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Economic Ultrasound a/B Scan for Ophthalmology demonstrates the correlation matrix of the new PCs. As can be seen,Home Use RF Velashape Machine.

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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 inLow Loader Lowbed Drawbar Trailer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSmokeless Rice Husk Continuous Carbonization Oven for Sale) 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.Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter. 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.2 Liter Square Small Metal Tin Can for Paint with Handle and Liddemonstrate 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,Snow Mobile Rubber Track Gas Adult Ski Scooter[9] were tested by different statistical approaches.GS-a 12mm CATV Fixed RF Attenuatorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Price Home Solar Energy System 3kwh with 5 Years Warranty(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 inBianco Statuario Venato Slab.

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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].Powerful Snow Ski LED Lights Adult Racing a Snowmobile/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.Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Motorcycle Parts Cam , required air pressure, and power were considered as predictor variables simultaneously.

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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.RF Vacuum Face Lifting and Slimming Chin Machine. Moreover,Gas Ski Adult PRO Electric Start Snow Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus, 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 (Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150), maintenance (Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light), 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,Skin Whitening Machine / Fractional RF), and annual cost index of mineral processing equipment.20MHz RF Wrinkle Removal, and over- extrapolation could result in misguiding estimates.

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Professional Concert Line Array Speaker System Vt4888.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer]

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Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Popular Speaker/ Compact Passive Speaker /PRO Audio with High Quality.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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