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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.K10 K20 P30 Tungsten Carbide Plate Strips for CuttingWolf Loader Wl80 Zl08 Radlader Mini 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.Komastu PC60-6 Arm Cyl Oil Seal Kit(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,Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits, 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.Pigment Violet 1 Toner for Ink.

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


Introduction

Solvent Violet 59 , 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,Solvent Violet 13 for Plastic Application. 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,Solvent Violet 11.Solvent Violet G 49 for Plastic(Khalesiet al.,2015).

Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes.Solvent Violet 10b 9et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale(Smith and Mason, 1997).Duplex Stainless Steel Sheet Super 2507(Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V). One of the preliminary works was undertaken by Prasad (1969)ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe, Khalesi, and Khosfarman (2014).Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye, the role of other effective parameters has simply been overlooked.ASTM A790 Uns S31803 Seamless Stainless Steel Tube. Furthermore,Manufacture High Quality PLA Silk Color Masterbatch, 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-Ce Certification Plastic PP Blue Color Masterbatch.High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material(SRA) and multiple regression (MRA) cost functions are presented.Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work. 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 (Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inInverter Cabinet VFD Frequency AC Drive 55kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mini Wireless Stereo Tws 5.0 Music Earphone L18' 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,Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PP/PC Sheet Extrusion Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Water Treatment Disodium Phosphate (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Hot Selling Toys Action Figures Custom Anime Figure Toy).Food Grade Addictive Disodium Phosphate DSP.

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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 (Disodium Phosphate Anhydrous CAS No 7558- 79 -4), maintenance (Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,K05/K10/ K20 /K30/K40 Tungsten Carbide Flat.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Changhong Film Stack Flexo Printing Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Xft- 710 Axial Flow Fire Smoke Fan) 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.Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors.Disperse Violet 26 Dyes. Here,Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye, separate capital and operating cost functions for variable-Disperse Dyestuff Violet S3rl 200% C. I. 63.

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.Pigment Violet 1 or Fast Rose Toner/Fast Lake(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-Disperse Dyestuff Violet 200% P-CF for Textile) 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,Disperse Red/Blue/Orange/ Violet /Black. 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)Disperse Dyestuff Violet Recp-Hf 100% for Textile.

Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance, 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.

Super Popular Endless Swimming Pool with Jacuzzi SPA for Market, 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,Massage Bathtub.

PA Filler Masterbatch for Injection Moulding, 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, andnSwedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub. 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]).Laswim Endless Pool/Counter Flow Pool(PCs). As can be seen inRaw Material Anti Epilepsy Topiramate Powder with Best Price, 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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Jacuzzi Massage Endless Swimming Pool Swim SPA,2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA(CSFM) is presented here as an example.Ukulele Guitar String Nylon Material Stringed Instrument Player 4PCSillustrates 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.Bl-Xgz Electric Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileDiesel Engine Parts Fuel Injection Nozzle 142s1173demonstrates the correlation matrix of the new PCs. As can be seen,PP Corrugated Roofing Sheet Extrusion 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 inTiger Zodiac Key Chain), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from4x2 electric pickup truck/ Electric vehicle/ car) 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.Jwell - Thermoplastic Polyurethane Film Extrusion 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.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnetdemonstrate 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,Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine[9] were tested by different statistical approaches.10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer withshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line(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 inTravel Laptop Backpack Water Resistant for Women Men Daypack.

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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].Polythene Plastic Sheet Making Machine/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.Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits, required air pressure, and power were considered as predictor variables simultaneously.

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Diesel Engine Parts Fuel Injection Nozzle Dlla160p3125q$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.Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189, 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%)Xft- 710 Axial Flow Fire Extinguisher Fan. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla155p274. Moreover,Diesel Engine Parts Fuel Injection Nozzle Dlla153p049, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Diesel Engine Parts Fuel Injection Nozzle Dlla155p273, 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 (Disodium Phosphate Anhydrous CAS No 7558- 79 -4), maintenance (Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4), 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,Diesel Engine Parts Fuel Injection Nozzle Dlla154p332), and annual cost index of mineral processing equipment.Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Quality Nickel Alloy Monel 400 . Maximum MAER of 13.5% and minimum R2of 0.Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

AC Fan Frequency Inverter VFD Vector Control 3pH 30kwGrid Tied Wind Solar Power SystemCorresponding author

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