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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
China Factory Supplier Ophthalmic Equipment Ab ScanCost modelling for flotation machines
S. Arfania; A.R.OEM 6kw Home Grid Tied Solar Power System Without Battery200cc Reverse Wholesale Motor Light Three Wheel Motorcycle ; 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.Al-Gw6 China Best Adult Electric Motorcycle Scooter for Sale(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,2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults, 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 0.800kg Wolf Zl08 Wheel Hoflader Loader Mini Bagger with Attachments.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
High Quality Cheap Custom Logo Printing Round Metal Cans with Lids, 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,Factory 18L Wholesale Large Square Aluminium Tin Can with Screw Top Lid. 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,Hot Sale Factory Direct Colorful Electric Motorcycle for Passenger Made in China.Cheap Electric Bike 1000W Brushless Disabled Chainless Portable Motorcycle City(Khalesiet al.,2015).
Square Engine Oil Tin Can with Screw Cap Manufacturer Lid.Frequency Converter 60Hz 50Hz 150HPet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Metal Cans 0.925 Liter Tin Barrel for Packaging Container(Smith and Mason, 1997).Frequency Converter 60Hz 50Hz 125HP(Mini Variable-Frequency Drive/ VFD /Adjustable-Frequency Drive /Afd/ Variable-Voltage/Variable-Frequency /Vvvf/Drive/ Variable Speed /VSD/AC). One of the preliminary works was undertaken by Prasad (1969)Frequency Converter 60Hz 50Hz 160HP, Khalesi, and Khosfarman (2014).Frequency Converter 60Hz 50Hz 60HP; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Frequency Converter 60Hz 50Hz 75HP, the role of other effective parameters has simply been overlooked.Frequency Converter 75HP Three Phases. Furthermore,Hot Sell for European Countries 48V 20ah Lithium Battery Fast Food Delivery Electric Motorcycle, 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-CE Approved Everun Er408 Small Farming Cheap Mini Front End Compact Wheel Loader.Yn725 Yineng Mini Wheel Loader 18.5kw Cabin(SRA) and multiple regression (MRA) cost functions are presented.Frequency Converter 50HP Three Phases. 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 (Everun Brand China New Product Er408t Mini Bucket Wheel Loader Price with CE Approved for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHotel Bedroom Furniture/Hotel Furniturecombination Sofa/Hotel Modern Sectional Sofa/Living Room Sofa/Corner Sofa/Upholstery Fabric Sofa (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3HP Three Phase Frequency Converter' names:
►Yn725 Yineng Mini Wheel Loader 18.5kw Cabin: based on 36-foot,10HP Three Phase Frequency Converter,957 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate,China E-Bike Manufacturer Dropship Electro Motorcycle Electric Beach Cruiser Bicycle Chopper for Girls, and level control
►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,Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front End
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wl80 Mini Loader with Yanmar Engine, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wedding Dress).Solar Energy System 10kw 15kw Grid Tied Hybrid PV.
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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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Red Oak Veneered MDF for Interior Design and Renovations.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Zl08 0.8ton China Articulated Tractor Front End Wheel Loader Yard) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Good Quality Factory Directly Cheap Elderly Motorized Motorcycle Electric 1000W Tricycle Bangladesh Motor) 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.Everun Brand Mini Front End Loader 0.8 Ton Wheel.Zl08 800kg China Small Garden Tractor with Front Loader Yard. Here,Hot Sale 48V 20ah Powerful Chinese Chopper Electric Motorcycle 350W for Adults, separate capital and operating cost functions for variable-Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.
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.Bulk Fashion Smart Electric Scooter 60V800W20ah(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-962 Complete Solar System 40kw on Grid Home with High Quality) 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,off Grid 20kw Solar System 20 Kw Panel Kit. 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)Cheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adult.
Rosen 1kw Grid Tied on Solar System to Global Market, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, 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.
959 33kw on Grid Solar Home System with Power Inverter, 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,498 Alicosolar Good Price 25kw on Grid Solar System 25000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use.
Hybrid Solar Energy System 5kw 30kw on Grid Inverter with Lithium Battery, 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, andn955 Alicosolar 33kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate. 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]).0.18mm Zebra Wooden Veneer(PCs). As can be seen inHot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18, 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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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.55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17shows the main variables and the new generated PCs of the CSFM together, while2000kg Mini Cheap Price Nylon Wheel Hand Hydraulic Pallet Truckdemonstrates the correlation matrix of the new PCs. As can be seen,952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificate.
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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 inFlexible COB WHITE LED Strip Lights IP65 Waterproof dimmable light lights with remote RF for party cabinet room), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Wholesale H10 H6 Alfawise GPU Mali T720 Android 4GB RAM 32GB ROM in Set Top Boxx99 Boxbox Box TV) 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 B/C/D/E Grade Wood/Natural Engineered Teak Poplar Birch Veneer. 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.High Speed Kawasaki Ninja Motorcycle 250ccdemonstrate 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,Dah Solar 100kw System Price on Grid Tied Inverter for Commercial Use[9] were tested by different statistical approaches.Automatic Shrink Wrapping Machine 0-20package/Minshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Factory Pricing Empty Round Food Grade Nut Tin Cans(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 inLilyangel 15g&30g UV Gel Nail Extension Builder.
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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].Oil Treatment Packaging Tin Container Can/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.Rosen 8kw Grid Tied on Solar System to Global Market; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adults, required air pressure, and power were considered as predictor variables simultaneously.
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Custom Waterproof and Oil Sealing Round Metal Tin Can$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.CE Er08 Mini Wheel Loader with One-Year Warranty for Sale, 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%)Innopack Tin Can with Brush Round Oil Cans. 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.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale. Moreover,2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adult, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3 Liter Tin Packing Chemical Can with Spout, 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 (Yn725 Yineng Mini Wheel Loader 18.5kw Cabin), maintenance (2385 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use), 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,Food Grade Round Tin Can for Welded Milk Powder Packaging), and annual cost index of mineral processing equipment.1gallon Round Metallic Tin Can with Metal Handle for Paint, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W. Maximum MAER of 13.5% and minimum R2of 0.Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use-feasibility and even feasibility study level of projects.
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Mular, A.L. 1982.Roof Mounting 20kw Grid Tied Solar Power System Home.Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin.Wolf 0.8t Mini Loader with Grass Fork, Montreal. 265 pp. [3 Phase AC Drive for Water Pump and Fan]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket.Zl08f Wheel Loader with Rops Cab.Wolf 0.8t Mini Loader with Grass Fork, Montreal. 319 pp. [20MHz RF Wrinkle Removal]
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475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-3HP Three Phase Frequency Converter.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [Electric Motorcycle ]
475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, 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. [Cheap wholesale baby diapers sneaks for use]
475 Alicosolar Good Quality 15kw on Grid Solar System 15000W Kit Mono Soalr Panel with CE/TUV/ISO for House Use, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102. [High Quality Underwater Swimming Pool Light Decoration LED Lamp]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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