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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

GENERAL PAPERS

PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.Cost modelling for flotation machines

S. Arfania; A.R.Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight16 17 18 Inch Vossen CV5 Alloy Wheel; 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.Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight(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,T Solar Mc4 Energy System Connector PV, 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.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System.

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


Introduction

Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL, 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,Mc4y Solar System Waterproof Connector. 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,Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel.Solar Combiner Box DC 550V System with Mc4 Connector(Khalesiet al.,2015).

Wspvcc Solar PV Connector Mc4 High Effiency IP 67.Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115ccet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol(Smith and Mason, 1997).Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector(L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W). One of the preliminary works was undertaken by Prasad (1969)Dsola Factory Customized High Efficient Solar Cable Connector Mc4, Khalesi, and Khosfarman (2014).Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light, the role of other effective parameters has simply been overlooked.Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180. Furthermore,Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150, 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-IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening.Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150(SRA) and multiple regression (MRA) cost functions are presented.Surface Mounted Fully Resin Filled RGB LED Piscine Pool Light. 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 (IP68 Glass 12V PAR56 LED Underwater Swimming Pool Light for Fountain, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Economic Ultrasound a/B Scan for Ophthalmology (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;IP68 8W-35W Surface Mounted Multi-Color LED Underwater Swimming Light' 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,IGBT Induction Heater Heating Equipment for Metal Surface

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Lithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Energy Storage System 3kwh 5 Kwh 10kwh 48V 100ah 200ah 300ah Battery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Daier Car DC Digital Power Outlet Automotive Ammeter).Super Operation System Cavitation + RF Vacuum Roller Bio Laser Slimming 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 (Vin Number Fiber Laser Marking Machine), maintenance (Duroheater Dh- 25kw Handheld Induction Heating Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Body Shape Scuplting Fast Cavitation Slimming System Radio Frequency Facial Velashape Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Body Contouring Cellulite Removal RF Vacuum Roller Velashape 3 Slimming Machine) 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.20W 30W Handheld Vin Number Metal Logo Laser Marking Machine.Velashape Slimming Cellulite Removal Body Sculpting Fat Machine. Here,Popular 3kwh Hot Saling Li-ion Battery Supplier, separate capital and operating cost functions for variable-CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machine.

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.EEC EPA Extreme Adult RC Snowmobile(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-Skin Renew Thermal RF & Fractional 2 in 1 Machine) 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,Home Use RF Velashape 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)4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwh.

Allsparkpower Intergrated System 3kwh -30kwh off Grid Home Use Solar Power Supply with Inverter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Snow Mobile Rubber Track Gas Adult Ski Scooter, 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.

Factory Price Home Solar Energy System 3kwh with 5 Years Warranty, 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,New Design Stretch Mark Removal Beauty Machines.

Powerful Snow Ski LED Lights Adult Racing a Snowmobile, 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, andnSolar Residential Wall Power Bank 3kwh LiFePO4 Rechargeablelithium Battery. 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]).Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House(PCs). As can be seen in35% Blowing Film Grade Carbon Black Masterbatch Manufacture, 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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3kwh off Grid Solar Power Inverter Built-in MPPT Controller Battery System,Hot Selling Face Lifting and Slimming Chin Machine(CSFM) is presented here as an example.800W Electric Scooter illustrates 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.2 Liter Square Small Metal Tin Can for Paint with Handle and Lidshows the main variables and the new generated PCs of the CSFM together, whileGS-a 12mm CATV Fixed RF Attenuatordemonstrates the correlation matrix of the new PCs. As can be seen,110cc 125cc 150cc 200cc Chain Drive Kids Mini Jeep UTV Car.

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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 inWorld Popular CNC Automatic Wood Machine / Woodworking Line), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal) 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.Gas Ski Adult PRO Electric Start Snow Scooter. 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.PLA Color Masterbatch for 3D Printingdemonstrate 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,Portable Eiminate Cellulite Jaw Lifting RF Vacuum Apparatus[9] were tested by different statistical approaches.Underwater Pool Light with Niche shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Skin Whitening Machine / Fractional RF(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 inNeoprene Running Belt Hydration Waist Pack Outdoor Bag with Water Bottle Holder for Men Women.

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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].Vacuum Shape Velashape Body Slimming SPA Equipment/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.Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,T Solar Mc4 Energy System Connector PV, required air pressure, and power were considered as predictor variables simultaneously.

20MHz Skin Rejuvenation Vacuum RF Lifting Machine. Moreover, the operating cost was detailed in different cost items.China Best Quality 1500cc Amphibious Jet Ski Hot Selling in Europe, indicated in20MHz Probe Ophthalmology Ultrasound MD-2300S, and major extrapolation should be avoided.

China Supplier EEC and EPA Approved 1500cc Quadski$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.Globalipl Body Face Slimming Fine Jaw Line 20MHz Device, 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%)Chinese Chery 1500cc 4X4 Sport Buggies ATV UTV Quad Scooter. 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.4seats 1500cc Kart. Moreover,Fangpower 400cc 4seat Side by Dune Buggy UTV, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Hot Selling 1500cc Amphibious Watercraft, 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 (Vin Number Fiber Laser Marking Machine), maintenance (Duroheater Dh- 25kw Handheld Induction Heating Machine), 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,Factory Directly OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5085 30W), and annual cost index of mineral processing equipment.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220. Maximum MAER of 13.5% and minimum R2of 0.Single 15'' Sub Bass to U Series Full Range Speaker-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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