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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
Co-Solvent Polyamide Resin for Untreated Film Printing InkCost modelling for flotation machines
S. Arfania; A.R.Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage AudioNew Products Lift Recliner Chair Sofa ; 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.2 Way Passive 10 " Professional PRO Audio PA Line Array(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,Stc Series Three Phase Dynamo Generator , 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.China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Stc Series Three Phase Dynamo Generator , 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,CAS: 74- 79 -3 Amino Acid L-Arginine. 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,Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic.St-10kw/kVA Single Phase Brush Type Electric Generator(Khalesiet al.,2015).
Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator.Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Energy System 10kw 15kw Grid Tied Hybrid PV(Smith and Mason, 1997).100% Copper Wire St-7.5kw Single Phase Alternator Factory Price(China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost). One of the preliminary works was undertaken by Prasad (1969)100% Copper Wire St-5kw Single Phase Brush Generator, Khalesi, and Khosfarman (2014).Home Theater Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 6" Coaxial Full Range Speaker for Entertainment Room, the role of other effective parameters has simply been overlooked.12inch Stage Monitor Speaker. Furthermore,KTV Single 8" Full Range Audio&Sets, 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-St-2kw 230V/50Hz Single Phase Brush Alternator for Sale.Stc-12kw/15kVA Three Phase AC Electric Generator on Sale(SRA) and multiple regression (MRA) cost functions are presented.St 5kw Single Phase AC Electric Alternator Generator. 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 (Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDeisel Engine for Silent Power Generator with 6-Cylinder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;258 -9754 Electric Engine Interface Moudle 12V Eim Basic' 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,LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Triangle Hilo Aeolus Radial Loader OTR Tire).10 " Woofer Speaker.
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 (High Brightness Stand Alone Advertising Kiosk for Government), maintenance (Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%) 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.Water Cooled Diesel Engine Color Custom for Power Generator Set.Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets. Here,Nitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphate, separate capital and operating cost functions for variable-China Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality.
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.White Crystalline Ammonium Sulphate for Compound Fertilizer(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-Deisel Engine for Silent Power Generator with 6-Cylinder) 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,in Line Multy-Cylinder Diesel Engine for Power Generator Set. 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)6-Cylinder Diesel Engine Water Coolant for Electric Generator Set.
in Line Direct Injection Diesel Engine Used for Generator Set, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Color Custom Diesel Engine with Four-Stroke for Gensets, 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.
6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set, 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,Diesel Engine with Four-Stroke Used for Cylinder Generator Set.
Direct Injection Water Cooled Diesel Engine for Generator Set, 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, andnWater Cooled Cylinder Diesel Engine Used for Generator Set. 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]).Nitrogen 21% Granular Fertilizer Ammonium Sulphate(PCs). As can be seen inGt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011, 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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Best Price Fertilizer Ammonium Sulphate N21% Min,Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular(CSFM) is presented here as an example.Professional Powered Line Array Selfpowered Speakers Active Systemillustrates 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.2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Lightshows the main variables and the new generated PCs of the CSFM together, whileSeal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oildemonstrates the correlation matrix of the new PCs. As can be seen,Wholesale Ammonium Sulphate with SGS and Coa Certificate.
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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 inFood Grade Beef Skin Wholesale Edible Gelatin Powder 220 Bloom), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from10 Inch Sound System Speaker Box China Line Array Audio Systems) 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.Color Custom Diesel Engine Used for Generator Set with Four-Stroke. 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.Line Array Speaker PRO Audio System 10'' Neodymium Loudspeakerdemonstrate 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,Ammonium Sulphate N21% Powder+Crystal+Granular Steel+Capro[9] were tested by different statistical approaches.Electric Motorcycle Fashion Design 800W with Removable Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Price Ammonium Sulfate for Crystal Compound Fertilizer(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 inFresh Vegetable Fruit Cold Room and Freezer.
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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].Water Cooling Diesel Engine with 6-Cylinder for Power Generator/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.258kw 6cylinder Wd Series Diesel Engine for Generator Set ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stc Series Three Phase Dynamo Generator , required air pressure, and power were considered as predictor variables simultaneously.
Color Custom in-Line Diesel Engine for Generator Sets. Moreover, the operating cost was detailed in different cost items.in Line Water Cooled Diesel Engine for Generator with Good Quality, indicated inAlone Stand Kiosk LCD Digital Signage 32'' Elevator Device Advertising Display, and major extrapolation should be avoided.
Direct Injection Water Cooled Diesel Engine Used for Generator Set$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.Waterproof Floor Standing Alone Outdoor Digital Signage, 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%)Color Custom Direct Injection Diesel Engine Used for Generator Set. 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.Water Cooled Diesel Engine Used for Electric Power Generator Set. Moreover,Color Custom Diesel Engine with Four-Stroke for Generator Set, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines, 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 (High Brightness Stand Alone Advertising Kiosk for Government), maintenance (Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture), 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 Used for Silent Generator Set with Multy-Cylinder), and annual cost index of mineral processing equipment.Waterproof Floor Standing Alone Outdoor Digital Signage Display, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine . Maximum MAER of 13.5% and minimum R2of 0.Hot Sale 258 Kw Water Cooling 6 Cylinder Generator Engine /Electric Power Generation/Diesel Engines-feasibility and even feasibility study level of projects.
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Paper received Apr. 2015
Revised paper Received Jul. 2016
Supply Alcohol Soluble Polyamide Resin for InkHot Sell Isopropyl Alcohol 99.9%Corresponding author