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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
China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149Cost modelling for flotation machines
S. Arfania; A.R.12 Inch Karaoke Bar KTV Speaker Professional PA Passive StageSpeaker PS10; 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.Proxima Entertainment S-320 Speaker(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,Karaoke Voice Reduction Professional Audio Converter Proaudio , 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.Sp215 Sound Prince Style Speaker Acoustic.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, 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,Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker . 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,Best Sale Bulk Price1.Passive Full Range 2-Way Speaker Line Array for Outdoor(Khalesiet al.,2015).
Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.High Power Horn Speaker H3et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive(Smith and Mason, 1997).Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box(Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock). One of the preliminary works was undertaken by Prasad (1969)Levamisole Hydrochloride CAS 16595-80-5 in Stock, Khalesi, and Khosfarman (2014).Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606, the role of other effective parameters has simply been overlooked.2.4GHz Wireless Ceiling Speaker PA System. Furthermore,OEM ODM Public DJ PA Wooden Speaker, 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-Double 12" Line Array Speaker.Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01(SRA) and multiple regression (MRA) cost functions are presented.PA Speaker with Single-Point Angles Regulator . 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 (12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGy6 Engine 150cc Gasoline Scooter for Adults(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth' 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,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Modern Indoor Crystal Chandelier Living Room Light Hotel Hanging Lamp).Speaker System High Power H3.
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 (CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical), maintenance (Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,500W Powered Speaker Professional Sound Line Array System .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Proxima Entertainment Z-450 Digtal Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500) 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.Lat210A Srx700 Series PA Sound System Professional Speakers.Professional Public Address Mini Onwall Line Array Speaker . Here,Q1--Dual10 Inch Line Array Speaker, separate capital and operating cost functions for variable-12inches PA Speaker Audio Component.
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.Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(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-Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA) 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,Power Amplifiers PA Speaker System Amplifier 1000 Watt. 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)Wholesales Organic Intermediate 1.
Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Live/Installed Sound System PRO Speaker Box , 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.
Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA, 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 Speaker with Laser Light .
XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker, 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, andnProfessional Multifunction Active Stage Speaker Wood Bt with Laser Lights. 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]).L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker(PCs). As can be seen inFactory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6, 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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High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price,Free Sample Organic Chemicals 1(CSFM) is presented here as an example.Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4illustrates 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.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902shows the main variables and the new generated PCs of the CSFM together, whileVera 12 Loudspeaker Line Array Speaker Systemdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality Phena.
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 inFamous Brand Best Perfumes Accept OEM), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMc4y Solar Connector) 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.
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 0.18" Fane Style Aluminum Speaker Frame. 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.28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Saledemonstrate 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,18" Die Cast P-Auido Style Aluminum Frame[9] were tested by different statistical approaches.2876 10kw Home Used Solar Power System on Grid Roofshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Stage Active Line Array Speaker with DSP(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 in2.3 Inch Single Digit 16 Segment LED Display with RoHS From Expert Manufacturer.
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Cost model for variable-Single 18" Subwoofer Speaker Box
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].Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse/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.12" Professional Rcf Style Speaker Frame; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Karaoke Voice Reduction Professional Audio Converter Proaudio , required air pressure, and power were considered as predictor variables simultaneously.
Horn Professional Speaker H3. Moreover, the operating cost was detailed in different cost items.Coaxial Loudspeaker TD12, indicated inHigh Purity Ethylamine HCl, and major extrapolation should be avoided.
18'' Subwoofer Speaker Box Ls1200$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.Dual 12" Subwoofer Speaker Box, 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%)DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional. 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.Fast Delivery 1. Moreover,Professional Speaker Box F12+, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Df B&C Trees Speaker Subwoofer Audio Professional, 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 (CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical), maintenance (Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4), 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,15'' Coaxial Speaker ), and annual cost index of mineral processing equipment.Customs Guaranteed 1, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,China Factory Supply Ethylmagnesium Bromide CAS 925-90-6. Maximum MAER of 13.5% and minimum R2of 0.Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker-feasibility and even feasibility study level of projects.
References
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Mular, A.L. 1982.12" Die Cast Aluminum PA Speaker Frame.PA Speaker Dual 18" Subwoofer System.PA Speaker with Line Array Tweeter Horn , Montreal. 265 pp. [E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Active Mini Line Array Speaker with DSP Amplifier Module.Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder.PA Speaker with Line Array Tweeter Horn , Montreal. 319 pp. [Diesel Engine Parts Fuel Injection Nozzle Dlla153p049]
Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.High Quality Karaoke Loudspeaker with B&C Compression Driver.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575. [Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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