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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.ATV Scooter Motorcycle High Quality Parts(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,New 110cc 125cc 150cc Mini Jeep Willys, 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.New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers.

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


Introduction

Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving, 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,Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz. 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,Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter.OEM Wheels for Kymco Gy6 125cc Scooter Body Parts(Khalesiet al.,2015).

Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale.Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Compact structure mini loader/wheel loader/ with 0.8ton bucket for building construction(Smith and Mason, 1997).Motorcycle Parts High Quality Cam (Imiprothrin 93%TC). One of the preliminary works was undertaken by Prasad (1969)off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting, Khalesi, and Khosfarman (2014).High Quality Motorcycle Parts Cam ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Manufacturer Solar Home System 3kwh LiFePO4 Battery, the role of other effective parameters has simply been overlooked.New Model Solar Home System 3kwh with LiFePO4 Battery. Furthermore,TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System, 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-Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting.3kwh Solar Energy System Home off Grid(SRA) and multiple regression (MRA) cost functions are presented.Suntree Solar Cable Connector Mc4 IP68 Yuv Approved. 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 (Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2 Way Passive 10 " Professional PRO Audio PA Line Array(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3kwh LiFePO4 Battery System Energy Power' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Mc4y Solar System Waterproof Connector(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Car Emblem Badge Logos).Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel.

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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 (Solar Combiner Box DC 550V System with Mc4 Connector), maintenance (Wspvcc Solar PV Connector Mc4 High Effiency IP 67) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115cc.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dsola Factory Customized High Efficient Solar Cable Connector Mc4) 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.Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped.LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light. Here,Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180, separate capital and operating cost functions for variable-Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150.

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.IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening(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-Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150) 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,Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light. 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)IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain.

IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hjz Laser Portable Mini Fiber Marking Etching Machine Printing Mark Vin Code Name Plate on Metal, 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.

Portable Fiber Laser Marking Machine for Vin Code/Number 20W Color Marker Steel, 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,30W Handheld Vin Number Portable Laser Marking on Stainless Steel.

Electric Industrial Induction Heater Manufacture in China for Sale , 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, andnIGBT Induction Heater Heating Equipment for Metal Surface . 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]).Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS(PCs). As can be seen inHigh Grade Block Board for Furniture Produce, 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.Mini Wheel Loader Small Dumper Hoflader Wolf Zl08shows the main variables and the new generated PCs of the CSFM together, whileHigh Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chipdemonstrates the correlation matrix of the new PCs. As can be seen,Duroheater Dh- 25kw Handheld Induction Heating 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 inTravel Laptop Backpack Work Bookbags Water Resistant 15.6 Inch College Computer Bag for Men Women), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from16 17 18 Inch Vossen CV5 Alloy Wheel) 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.Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine. 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.High Quality Economic Ultrasound a/B Scan for Ophthalmology demonstrate 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,Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine[9] were tested by different statistical approaches.Food Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.20W 30W Handheld Vin Number Metal Logo Laser Marking Machine(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 inFactory Supply TV Monitor Backlight LED Strips.

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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].Popular 3kwh Hot Saling Li-ion Battery Supplier/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.CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New 110cc 125cc 150cc Mini Jeep Willys, required air pressure, and power were considered as predictor variables simultaneously.

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Home Use RF Velashape Machine$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 0.4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh, 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%)Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter. 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.Snow Mobile Rubber Track Gas Adult Ski Scooter. Moreover,Factory Price Home Solar Energy System 3kwh with 5 Years Warranty, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (New Design Stretch Mark Removal Beauty Machines, 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 (Solar Combiner Box DC 550V System with Mc4 Connector), maintenance (Wspvcc Solar PV Connector Mc4 High Effiency IP 67), 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,Powerful Snow Ski LED Lights Adult Racing a Snowmobile), and annual cost index of mineral processing equipment.Solar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House. Maximum MAER of 13.5% and minimum R2of 0.RF Skin Tightening Face Lifting Machine-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6.20MHz Skin Rejuvenation Vacuum RF Lifting Machine.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, Montreal. 265 pp.         [Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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