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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
New Model Solar Home System 3kwh with LiFePO4 BatteryCost modelling for flotation machines
S. Arfania; A.R.Virgin PA12 Resin GF20 GF30 PelletsCamping Power / RV LiFePO4 Energy Storage; 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.PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized(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,Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8, 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.Trimethyl Cis.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Fast Delivery High Purity Benzaldehyde 100-52-7, 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,Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223. 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,Swimming SPA Pool Hot Tub Combo.Zhejiang Province Acrylic Standing Alone Bathtubs(Khalesiet al.,2015).
Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB.Perkins Genuine Cyl Head Assy et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yangtze Solar Power Grid Tied System Home 5kw 5K(Smith and Mason, 1997).Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar(10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show ). One of the preliminary works was undertaken by Prasad (1969)Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712, Khalesi, and Khosfarman (2014).Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Jwell PP Corrugated Roof Sheet Extrusion Machine, the role of other effective parameters has simply been overlooked.Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll Sheet Extrusion Line Making Machine. Furthermore,Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines, 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-Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect.Alcohol Benzene Polyamide Ink Resin(SRA) and multiple regression (MRA) cost functions are presented.High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line. 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 (Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Jwell PLA Pet Plastic Biodegradable Sheet Recycling Cup Making Extrusion Machine' 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,Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Polyamide Resin Hot Melt Adhesive, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Polyamide Resin(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solar Garde Light Golden Apple).Co-Soluble Polyamide Resin with Top Quality.
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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 (Alcohol Polyamide Resin for Printing Ink), maintenance (Popular Alcohol Soluble Polyamide Resin for Gravure Ink) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Polyamide Resin with Benzene Soluble for Printing Inks.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Alcohol Soluble Polyamide Resin for Printing Ink) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Supply Rosin Modified Polyamide Resin for Paint) 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.Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%.High Quality Benzaldehyde with Fast Delivery. Here,Supply Alcohol Soluble Polyamide Resin for Ink, separate capital and operating cost functions for variable-CAS No. 151103-09-2 4- .
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.Sophisticated Price of Polyamide Resin for Whosale(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-100% Purity Phenol Polyamide Resin) 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 Polyamide Resin. 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)Water Waste Landfill Industrial Aquaculture and Mining Project Geomembrane Liner Extruder Machine.
Hot Sale Hy-688 Polyamide Resin, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (100% High Purity Polyamide Resin for Ink, 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.
Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Electrics Packing, 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,Polyamide Resin.
Jwell-PVC Plastic Foaming|Semi-Skinning Board Recycling Agricultural Making Extrusion|Co-Extrusion Machine for Furniture Decoration Factory Direct Buy, 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, andnGeomembrane Making Machine. 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]).Spoke Wheel 26-Inch 21-Speed Top with Bicycle(PCs). As can be seen in42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, 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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PE Waterproof Roll Extrusion Machine,PE Extra-Width Geomembrane/Waterproof Sheet Extrusion Line(CSFM) is presented here as an example.Yihe Brand 300-600m Face/Core Veneer Door Furniture Paper Tape Reeling and Gummed for Joining Repairingillustrates 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.Android Smart TV Set Top Box 7.1 Quad Coreshows the main variables and the new generated PCs of the CSFM together, whileSteel Circle for PA Speaker Parts 16*3h demonstrates the correlation matrix of the new PCs. As can be seen,PE Geomembrane/Waterproof Sheet Extrusion Line.
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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 inCotton Disposable Thick Ladies Sanitary Pads), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAutomatic Pure/Mineral Bottle Water Packing 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.Bike Hidden Folding Mountain Ebike Suspension Bicycle. 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.China Frequency Converter Variable Speed Drivedemonstrate 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,Jwell-PP|PS Stationery Decoration Recycling Making Extrusion Line Machine[9] were tested by different statistical approaches.Skin Renew Thermal RF & Fractional 2 in 1 Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorber(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 inCost Saving High Effective Fiber Laser Cutting Machine.
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Cost model for variable-Hot Sale Am 20 "Mountain Bike with 21 Speeds
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].Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect Paints/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.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8, required air pressure, and power were considered as predictor variables simultaneously.
Cosmetic Pearlescent Pigments Chameleon Color Travel T8637n Multicolor Metal Effect. Moreover, the operating cost was detailed in different cost items.Iron Oxide Yellow for Pet Feeds, indicated in99% Pure High Quality Anesthetics Cinchocaine 85- 79 -0, and major extrapolation should be avoided.
Cosmetic Ultramarine Violet Soap Pigment Matte Manufacturer$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.Cosmetic Grade Ultramarine Violet Manufacturer, 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%)Factory Supply Benzaldehyde CAS 100-52-7 99% with Best Price in Stock. 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.Dimer Acid Based Polyamide Resin for The Epoxy Material. Moreover,Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Weather Resistance Nylon Polyamide Resin, 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 (Alcohol Polyamide Resin for Printing Ink), maintenance (Popular Alcohol Soluble Polyamide Resin for Gravure Ink), 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,High Purity 2), and annual cost index of mineral processing equipment.Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for Foam, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,SKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings. Maximum MAER of 13.5% and minimum R2of 0.Single Row Cylindrical Roller Bearing -feasibility and even feasibility study level of projects.
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100% High Purity Polyamide Resin for Ink, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Quality Removable Material Warehouse Precision Electronic Weigher with Manual Lifter.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [150cc Quad 4WD ATV for Adults]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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