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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
Rental Application Stage Monitor Audio&SetsCost modelling for flotation machines
S. Arfania; A.R.Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kwSingle 10 " Waterproof Polyurea Active Line Array Speaker Systems; 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.1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(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,Yn725g Yineng Mini Wheel Loader, 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.Solar Energy System 5kw Panel Home Grid Tied Power.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design, 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,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader. 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,Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.Haolin Lithium Battery 60V/20ah(Khalesiet al.,2015).
Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brushet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Xft- 710 Axial Flow Fire Smoke Fan(Smith and Mason, 1997).Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult(Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price). One of the preliminary works was undertaken by Prasad (1969)High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult, Khalesi, and Khosfarman (2014).Adult Electric Motorcycle with Lithium Battery China; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery, the role of other effective parameters has simply been overlooked.Hot Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle. Furthermore,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults, 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-Solar Inverter Pump Inverters 5.5kw.10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent(SRA) and multiple regression (MRA) cost functions are presented.350ml Brake Fluid Glue Tin Bottle. 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 (9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheel(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD' 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,Solar Inverter Pump 15kw
►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 Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),TUV Ce Europe Popular 6000W Grid Tied Home Solar System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Gold Plating Ribbon Badge & Green and White).High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box.
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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 (Yn725g Yineng Mini Front End Loader), maintenance (China Everun Er408 Small Loader Compact with Pallet Forks) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Yn725g 18.5 Kw/2.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader) 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.Yn725g Yineng Mini Wheel Loader.CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader. Here,3kw Solar Power System for Home Use on Grid, separate capital and operating cost functions for variable-Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.
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.Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader(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-PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service) 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,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw. 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)Yangtze Solar Power Grid Tied System Home 5kw 5K.
Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System, 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.
AC Fan Frequency Inverter VFD Vector Control 3pH 30kw, 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,3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint.
Metal Tin with Steel Handle for Paint, 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, andnInnopack 500ml Round Conveyor Belt Glue Tin Can with Caps. 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]).Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid(PCs). As can be seen inEngine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457, 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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China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw,AC Fan Frequency Inverter VFD Vector Control 3pH 18kw(CSFM) is presented here as an example.Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020illustrates 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.Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powdershows the main variables and the new generated PCs of the CSFM together, whileVimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800Wdemonstrates the correlation matrix of the new PCs. As can be seen,Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw.
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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 inArtificial Christmas Pick Tree Decoration Made in China), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGood Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor) 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.AC Fan Frequency Inverter 3pH 7.5kw. 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.100% Copper Wire Stc Series Three Phase AC Dynamo/Generator / Alternator 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,Inverter Cabinet VFD Frequency[9] were tested by different statistical approaches.Plastic Grey Color Masterbatchshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Inverter Cabinet VFD Frequency AC Drive 55kw(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 inCe FDA MSDS Approved OEM Label 30ml Anti-Virus Antibacterial Alcohol Hand Wash Gel 75% Pocket Sanitizer.
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Cost model for variable-Yn725g 18.5kw Cabin Yineng Mini Wheel Loader
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].Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader/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.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Yn725g Yineng Mini Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.
Yangtze 100kw Grid Tied Portable Solar System Camping Component. Moreover, the operating cost was detailed in different cost items.Yn725g Yineng Mini Wheel Loader, indicated inSafe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, and major extrapolation should be avoided.
Roof Mounting Solar System 10kw off Grid Tied Power$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.Screw Top Metal Tin Can, 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%)a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels. 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.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House. Moreover,Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, 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 (Yn725g Yineng Mini Front End Loader), maintenance (China Everun Er408 Small Loader Compact with Pallet Forks), 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,Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin), and annual cost index of mineral processing equipment.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Yn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin. Maximum MAER of 13.5% and minimum R2of 0.Fast Delivery Home 5kw Solar Power Grid Tied Energy System Cheap Price-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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