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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
High Quality Footbath Sofa / Foot MassageCost modelling for flotation machines
S. Arfania; A.R.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory PainkillersDeltamethrin 2.5% Wp of Insecticide Pesticide; 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.1-Bromo-3(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,Low Price 4, 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.High Purity CAS 64318- 79 -2 Gemeprost.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Ziplock Dog Food Bag with Bottom Gusset, 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,High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1. 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,Custom Printed Food Grade Ziplock Packing Bag.Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container(Khalesiet al.,2015).
Laminated for Coffee Foil Cookie Food Packaging Bag Aluminum Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Container.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookieet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0(Smith and Mason, 1997).Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag(PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub). One of the preliminary works was undertaken by Prasad (1969)China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear, Khalesi, and Khosfarman (2014).10 Active Full Range Stage Sound Loud Speaker System Audio; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10, the role of other effective parameters has simply been overlooked.Outdoors Professional/PRO Audio Speaker . Furthermore,Dual 10 " Two Way PA Power Line Array 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-Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2.Single 10'' Two Way Line Array PRO Audio(SRA) and multiple regression (MRA) cost functions are presented.Double 10 Inch Line Array PRO Audio . 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 (Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIntel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution' 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,Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout Pouch
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,200X5000mm Vacuum Sealer Bag Roll for Food Packaging, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fish Shape Car Emblem Sticker).Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole.
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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 (Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags), maintenance (Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10) 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.Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2.D&B Q1 Style Dual 10 Inch Professional Speaker . Here,Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10, separate capital and operating cost functions for variable-46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV.
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.10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.(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-PA 10 -25W 4 Inch Sound Ceiling Speaker) 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,Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo Bag. 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)Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag.
1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High bright Samsung 46" 49" 55" LCD video wall screen monitor, 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 Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6, 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,43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk.
Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container, 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, andn10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show . 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]).Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly(PCs). As can be seen inExcellent Gel Resistance Ability Polyamide Resin, 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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BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock,Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium(CSFM) is presented here as an example.Single Row Cylindrical Roller Bearing 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.China Hot Sale Frequency Converter/Inverter 380V 50/60Hzshows the main variables and the new generated PCs of the CSFM together, whileCosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melittendemonstrates the correlation matrix of the new PCs. As can be seen,Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4.
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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 inHigh-quality fuel/water separator oil-water-separator-shell assembly for Fs19925/1397764), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader) 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.High Quality Argipressine CAS 113- 79 -1 with Best Price. 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.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kwdemonstrate 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,1-Bromo-3[9] were tested by different statistical approaches.Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020(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 inEe-114 Factory Supply Industrial Socket.
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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].55 Inch Stand Alone Digital Free Standing LCD Advertising Display/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.Top Selling 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Low Price 4, required air pressure, and power were considered as predictor variables simultaneously.
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Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity$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.Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4, 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%)Economic Mulifunctional Line Array System Speaker Dual 10 Inch. 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.Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10. Moreover,Professional Loudspeaker 10'' Neodymium Magnet, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Kas PRO Top 10inch Line Array Audio Speaker, 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 (Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags), maintenance (Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron), 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,Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4), and annual cost index of mineral processing equipment.Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker. Maximum MAER of 13.5% and minimum R2of 0.LG 46" 49" 55" DVI LED video panel for monitoring-feasibility and even feasibility study level of projects.
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High bright Samsung 46" 49" 55" LCD video wall screen monitor, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [PVC Plastic Marble Board/Plate/Wall Extruder]
High bright Samsung 46" 49" 55" LCD video wall screen monitor, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385. [Waterproof Outdoor Used Christmas Starfall Lights]
High bright Samsung 46" 49" 55" LCD video wall screen monitor, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102. [China Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Sale]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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