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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
Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage KioskCost modelling for flotation machines
S. Arfania; A.R.Metal Tin Can Engine Oil Empty Tinplate ContainerASTM A790 Uns S31803 Seamless Stainless Steel Tube; 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.Rosen 35kw Grid Tied on Solar System to Global Market(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,800W High Speed Electric Scooter/Bike, 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 0.800W 60V20ah Brushless Electric Motorcycles.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
10L Customized Tin Cans Paint Coating Used Metal Square Can, 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,500W/ 800W / 1000W E Scooter/Electric Moped/Electric Bike. 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,Square Engine Oil Can Metal Paint Tin Container with Plastic Lid.800W Fashion Style High Speed Long Range Cheap Adult Electric Motorcycle for Sale(Khalesiet al.,2015).
Cheap Small Electric Scooter Moped 800W Motorcycle.Frequency Converter for Small Power Motors 3pH 380V 50/60Hzet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Family Usage Embossed Vacuum Bags for Food(Smith and Mason, 1997).Manufacturer of Rectangular Brake Oil Motor Engine Tin Can(Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light). One of the preliminary works was undertaken by Prasad (1969)2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic System, Khalesi, and Khosfarman (2014).Automobile Paint Can 5L Square Tin with Metal Cap for Ink Oil; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,866 5kw on Grid Solar System with Power Inverter for Home, the role of other effective parameters has simply been overlooked.Food Grade Metal Tin Can with Printing Logo for Cooking Oil. Furthermore,Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid, 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-800W Electric Scooter .Good-Sealing Square Tin Can Engine Oil with Metal Lid(SRA) and multiple regression (MRA) cost functions are presented.0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood. 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 (Special Design Braided Veneer with Red Walnut, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inGrid Tied 30kw Solar PV System for Shingle Roof(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Natural Wood Bintangor Face Veneer for Door and Furniture' 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,High-Performance Frequency Converter Three Phase 380V 50/60Hz
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Hot Selling 2021 Mini Electric Scooter Mobility Motorbike Wholesale, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Electric Motorcycle (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Logo Wholesale Zinc Alloy 3D Grape Shape Pin Badge From Chinacustom Beautiful Cheap Souvenir Metal Iron Gold Lapel in).Electric Motorcycle .
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 (Electric Motorcycle), maintenance (Electric Motorcycle ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,750ml Metal Tin Can Container for Chili Oil Canning.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Metal Engine Oil Can Recycling Lubricant Tin Packaging Container) 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.2L Galvanized Tin Cans for Cooking Oil with Plastic Lids.Electric Motorcycles . Here,Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry, separate capital and operating cost functions for variable-Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.
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.800W Aluminium Alloy Wheel Hubs Sport Electric Motorcycle(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-Zl08 Chargeuse Wheel Loader) 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,Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader. 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)500W EEC Electric scooter.
Electric Motorcycle , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Solar Electric Motorcycle, 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.
Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K, 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,OEM 1500W EEC Electric Scooter .
New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, 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, andn0.25mm Natural Wood Face Veneer. 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]).2L Empty Tin Container for Engine Oil Lubricant(PCs). As can be seen inHot Sale on-Grid 20kw Grid Tied Solar Power Home System, 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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Electric Motorcycle ,EEC Electric Scooter (CSFM) is presented here as an example.Ammonium Polyphosphate 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.Factory Price 7000W Home Solar Power Generator System Grid Tiedshows the main variables and the new generated PCs of the CSFM together, whileRed Oak Veneered MDF for Interior Design and Renovationsdemonstrates the correlation matrix of the new PCs. As can be seen,800w /1100w EEC Electric Scooter .
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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 inVeka Slide 82 Series UPVC/PVC Sliding Door /Patio Doors/Exterior for Passive House), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSuper 20MHz RF Beauty Machine) 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.Electric Motorcycle/Scooter/Bike . 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 Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitchdemonstrate 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,800W EEC Electric Motorcycle[9] were tested by different statistical approaches.Karaoke Wireless Portable Wooden Bluetooth PA Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.No Foldable 40-60km Range Per Charge EEC Electric Scooter(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 inBias/Naylon OTR Tyre 23.1-26.
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Cost model for variable-1 Wheel Electric Motorcycle/One Scooter
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].High-Performance Frequency Converter/AC Drive 380V 50/60Hz/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.Three Phase 380V Small Frequency Converter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,800W High Speed Electric Scooter/Bike, required air pressure, and power were considered as predictor variables simultaneously.
Hot Sale High Performance Vector Frequency Converter 380V 45/55kw. Moreover, the operating cost was detailed in different cost items.Single/Three Phase 220V 380V Vector Control Frequency Converter, indicated inPowersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA, and major extrapolation should be avoided.
Factory-Enginneered Veneer Ash in 0.30mm$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.Small Frequency Inverter 380V 50/60Hz, 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%)China Single Phase Variable Frequency Inverter 1.5kw. 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.1.2mm White Poplar Veneer From Factory for Exporting. Moreover,Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Eucalyptus Core or Birch for Veneer with Grade AA, 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 (Electric Motorcycle), maintenance (Electric Motorcycle ), 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,Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price), and annual cost index of mineral processing equipment.Popular 800W Power Electric Scooter, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,1250X2500mm Rotary Cut Okoume Veneer Cheap Prices. Maximum MAER of 13.5% and minimum R2of 0.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader-feasibility and even feasibility study level of projects.
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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