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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

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S. Arfania; A.R.Glass Bottle 1L Empty 1000ml MilkTs218 Dual 18" Speakers Subwoofer Speaker Box; 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.Mc4y Tyco Solar Connector(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,Mc4 Electronic Connector, 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.Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray Bottles.

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


Introduction

1000ml 500ml 250ml Airtight Glass Water Juice Bottle with Clip Top 1L, 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,1L 2L 5 L Plastic HDPE Powder Bottles. 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 Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2.30watt New RGB Cool White Warm LED Underwater Swimming Pool Light(Khalesiet al.,2015).

All Terrain Vehicle Tyres ATV Wheel.1L Plastic Trigger Sprayer Bottle with Sprayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725g Yineng Mini Wheel Loader(Smith and Mason, 1997).Velaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for(800W EEC Electric Motorcycle). One of the preliminary works was undertaken by Prasad (1969)20MHz RF Best Technology for Skin Tighten, Khalesi, and Khosfarman (2014).Massage Lymphatic Drainage Body Shaping Slimming Beauty Apparatus; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20MHz Thermal RF Wrinkle Removal Beauty Machine, the role of other effective parameters has simply been overlooked.Hot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel Light. Furthermore,Color Changing Swimming Pool Lights, 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-Body Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus.Underwater Pool Light with Niche (SRA) and multiple regression (MRA) cost functions are presented.Skin Tightening. 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 (Globalipl RF Roller Vacuum Slimming Apparatus, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2393 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;portable Fiber Laser Marker Machine for Eyeglasses Case Accessories' 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,Motorcycle Spare Part Oil Switch for Gy6 150

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,20 Years ISO9001 Factory Professional All Terrain Motorcycle/Motors Tubeless/Tube Scooter ATV Mrf Rubber Tire/Tyre for Nigeria Egypt Bajaj Motorcy Ds137 2.75- 17, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Honor Pewter).DOT Peen Marking Machine Vin Touch Screen for Sale.

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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 (Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers), maintenance (Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,ATV Scooter Motorcycle High Quality Parts.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New 110cc 125cc 150cc Mini Jeep Willys) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers) 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 Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving.Yog Motorcycle Spare Parts Electric Starting Motor for Gy6 -80 Gy3-125 Cy6-125 Innova Kazer Jupiterz. Here,Motorcycle Parts Ignition Key Switch Lock Gy6 Scooter, separate capital and operating cost functions for variable-OEM Wheels for Kymco Gy6 125cc Scooter Body Parts.

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.Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale(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-Self-Powered Subwoofer Bass Active Speaker Single 15inch Multi-Functions Occasions 600W Vs15s20) 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,Motorcycle Parts High Quality Cam . 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)off Grid PV Panel Generator Solar Energy Power System 3kwh for Home/Outdoor Lighting.

High Quality Motorcycle Parts Cam , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Manufacturer Solar Home System 3kwh LiFePO4 Battery, 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.

New Model Solar Home System 3kwh with LiFePO4 Battery, 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,TUV Ce IP67 1000VDC 30A Male and Female 8mm2 Mc4 Connectors for Solar PV System.

Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting, 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, andn3kwh Solar Energy System Home off Grid. 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]).Suntree Solar Cable Connector Mc4 IP68 Yuv Approved(PCs). As can be seen inBig 4000W 70V Electric Scooter, 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 LiFePO4 Battery System Energy Power,800W Stadium Lighting Serials LED Projector Light(CSFM) is presented here as an example.Diesel Engine Parts Fuel Injection Nozzle Dlla150s506illustrates 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.Sporty 500W/ 800W /1000Wshows the main variables and the new generated PCs of the CSFM together, whileFactory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Puritydemonstrates the correlation matrix of the new PCs. As can be seen,Lebekan 300W 400W 500W 600W 800W Outdoor Light Building Landscape Lighting Wall Washer Floodlight.

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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 inWholesale Manufacturer B Grade Karachi Diper Sale Supplier China Menufacturer Distributor Disposable Baby Diaper in Bulk), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light) 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.T Solar Mc4 Energy System Connector PV. 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.Easy Operating Manual Hand Pallet Truck Forklift Scaledemonstrate 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,Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid System[9] were tested by different statistical approaches.Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce UL(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 inHovol Metal Precision Automotive Car Vehicle Stamping Mould Die.

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Cost model for variable-Mc4y Solar System Waterproof Connector

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].Solar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel/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 Combiner Box DC 550V System with Mc4 Connector; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mc4 Electronic Connector, required air pressure, and power were considered as predictor variables simultaneously.

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Ce IP67 2.5mm2~6.0mm2 Male/Female DC 1000V Mc4 Solar Cable Connector$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.Dsola Factory Customized High Efficient Solar Cable Connector Mc4, 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%)Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped. 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.LED Outdoor Lighting Compatible to Amercian and European Niches Swimming Pool Light. Moreover,Yog Motorcycle Spare Parts Side Mirror Rearview Mirrors Scooter Gy6 off Road for Honda Xy Fz16 YAMAHA Bajaj Tvs Star Apache 180, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Parts Sparking Plug for Cg125 Cg200 Cg150 Gy6 -150, 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 (Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers), maintenance (Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928), 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,IGBT Automatic 25kw High Frequency Induction Heating System for Mold Thimble Quenching Hardening), and annual cost index of mineral processing equipment.Motorcycle Muffler Assy/Exaust Pipe for Scooter Parts Gy6 50/125/150, 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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