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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
46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media PlayerCost modelling for flotation machines
S. Arfania; A.R.CAS: 13463-67-7 Titanium Dioxide PowderO2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014; 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.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic(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,Factory Supply 99% Dexketoprofen Trometamol Powder, 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 0.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box, 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,Feiyang New Hot Selling Trolley Speaker Fg210-06. 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,V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater.PRO Audio PA System Digital Mixer(Khalesiet al.,2015).
Food Grade L-Arginine with Best Price.J8 Dual 12'' Line Array PA Speaker Professional Stage Audio Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle(Smith and Mason, 1997).10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure(Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5). One of the preliminary works was undertaken by Prasad (1969)Wild Bee Venom Extract Melittin 99% Powder for Skin Care, Khalesi, and Khosfarman (2014).Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Retinoic Acid CAS 302- 79 -4 in Stock, the role of other effective parameters has simply been overlooked.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag. Furthermore,ISO Certified 100% Natural L-Arginine Powder, 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-High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1.Chemical Reagent Bloom Tech 2(SRA) and multiple regression (MRA) cost functions are presented.High Quality Opa O-Phthalaldehyde with Best Price. 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 (Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolar Battery Solutions 3kwh Lithium LiFePO4 Hybrid System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;KTV 10 Inch Speaker Box with Good Sound' 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,Manufacturer Supply 1
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10inch PA Audio Line Array Speaker Box System, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual 10 " 600W Line Array PA Professional Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (4K Smart TV 65 Inch 65" TV).10 " Dia Cast Aluminum Professional Subwoofer Basket.
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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 (Food Packaging Vacuum Pouch), maintenance (Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,L-Arginine 99%.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (China Factory Price CAS 702- 79 -4 1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CPP High Temperature Vacuum Retort Pouch) 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.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin .High Temperature 3 Side Seal Retort Pouch for Corn. Here,R-3-Amino-1-N-Boc-Piperidine, separate capital and operating cost functions for variable-ISO Certified 100% Natural L-Arginine Powder.
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.Mylar Barrier Exit Waterproof Cr Bag(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-Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container) 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,High Quality Laminated Food Grade Roll Film. 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)D&B Style Dual 10 Inch Compact Line Array .
Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container, 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.
Family Usage Embossed Vacuum Bags for Food, 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,Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag.
Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper, 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, andnDual 10 " Compact Speaker Line Array . 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]).10 " Woofer with 3" Voice Coil(PCs). As can be seen inHigh Quanlity 1 Phase 3 AC Drive VFD for Pump, 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]:
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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Dual 10 Inch Line Array Speaker for Theater ,Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker (CSFM) is presented here as an example.Proxima Entertainment Z-450 Digtal Speakerillustrates 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.16 in 1 CATV Modulator Fixed Frequencyshows the main variables and the new generated PCs of the CSFM together, while25KW Ground Mini loader pricedemonstrates the correlation matrix of the new PCs. As can be seen,Dual 10 Inch Line Array for Church .
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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 inAll in One Integrated LED Solar Street Lamp with 30W), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBody Circumference Reduction RF Vacuum Fast Slimming System Beauty Apparatus) 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 0.10'' Inch Ferrite Woofer. 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.Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.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,V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker[9] were tested by different statistical approaches.Electric Dirt Bike Zm-Es18 with 500W- 800W Motorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Q1 Dual 10 " Line Array System(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 inWholesale Good Quality Sweatshirt Plain Dyed Hoodies.
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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].New Tw Audio Vera36 Dual 10 " Line Array Speaker System/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.Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Supply 99% Dexketoprofen Trometamol Powder, required air pressure, and power were considered as predictor variables simultaneously.
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Custom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container Bag$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.Hot Sale Vacuum Bag Nylon Material for Agricultural Products, 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%)Buy 99% Retinoic Acid Powder Vitamin a Tretinoin Retinol for Cosmetic. 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.Bio-Degradable Brown Kraft Food Packaging Bag. Moreover,Child Resistant Waterproof Plastic Bag with Zipper, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag, 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 (Food Packaging Vacuum Pouch), maintenance (Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery), 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,Fried Chicken Sweet Chili Sauce Food Packaging), and annual cost index of mineral processing equipment.Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag /ESD Bag/Aluminium Foil Bag/Antistatic, 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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