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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



6-Cylinder Diesel Engine with Four-Strke for Silent Generator SetCost modelling for flotation machines

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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.AC Drive Frequency Variable General Power Supply Solar Motor Pump(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,Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC, 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 0.500kw Solar Energy System Grid Tied 500kwatt Panel Station.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle, 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,Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC. 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 Price 7000W Home Solar Power Generator System Grid Tied.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw(Khalesiet al.,2015).

Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader.Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kwet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile(Smith and Mason, 1997).1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(Customized Multi Birch Veneer Plywood Manufacturer). One of the preliminary works was undertaken by Prasad (1969)Yn725g Yineng Mini Wheel Loader, Khalesi, and Khosfarman (2014).Solar Energy System 5kw Panel Home Grid Tied Power; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design, the role of other effective parameters has simply been overlooked.Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader. Furthermore,Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V, 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-Haolin Lithium Battery 60V/20ah.Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle(SRA) and multiple regression (MRA) cost functions are presented.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult' 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 Inverters 5.5kw

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),350ml Brake Fluid Glue Tin Bottle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Ducati Waterproof Sports Travel Waist Leg Bag Thigh).9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint.

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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 (Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD), maintenance (6000W Inverter Grid Tied Home Solar Energy System Without Battery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Solar Pump Inverter DC/ AC Supplier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Frequnce Converter AC Drive 380V 11kw) 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.Solar Inverter Pump 15kw.China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost. Here,TUV Ce Europe Popular 6000W Grid Tied Home Solar System, separate capital and operating cost functions for variable-High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box.

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.Yn725g Yineng Mini Front End 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-China Everun Er408 Small Loader Compact with Pallet Forks) 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,Yn725g 18.5 Kw/2. 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)1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.

Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725g Yineng Mini Wheel Loader, 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.

CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader, 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,3kw Solar Power System for Home Use on Grid.

Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, 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, andnEverun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader. 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]).PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service(PCs). As can be seen inFeiyang New Hot Selling Trolley Speaker Fg210-06, 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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Yangtze Solar Power Grid Tied System Home 5kw 5K,Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily(CSFM) is presented here as an example.Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcadillustrates 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.60 Inch Waterproof Floor Standing Alone Outdoor Digital Signage and Displayshows the main variables and the new generated PCs of the CSFM together, whileSingle 10 Inch Two Way Professional Passive Coaxial Monitor Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System.

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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 inChildren Outdoor Travel Student 15.6" Notebook Tablet Sleeve Business Computer School Bag Laptop Backpack), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEngine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V) 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 0.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint. 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.Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Cardemonstrate 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,Metal Tin with Steel Handle for Paint[9] were tested by different statistical approaches.China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubaishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps(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 in37.5kVA/30kw Soundproof Diesel Generator Set Powered by Weichai.

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Cost model for variable-Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid

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].1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale/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.


Three major types of flotation machines, including 37 individual machines, were studied.China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC, required air pressure, and power were considered as predictor variables simultaneously.

AC Fan Frequency Inverter VFD Vector Control 3pH 18kw. Moreover, the operating cost was detailed in different cost items.Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw, indicated inHot Sale Popular Model 60V 800W Electric Motorcycle for India Market, and major extrapolation should be avoided.

AC Fan Frequency Inverter VFD 3pH 15kw$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.AC Fan Frequency Inverter 3pH 7.5kw, 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%)Inverter Cabinet VFD Frequency. In the MRA cases, this property is owed to the SFM (3.05%).


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.Inverter Cabinet VFD Frequency AC Drive 55kw. 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 (Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD), maintenance (6000W Inverter Grid Tied Home Solar Energy System Without Battery), 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,Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel), and annual cost index of mineral processing equipment.Yangtze 100kw Grid Tied Portable Solar System Camping Component, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Yn725g Yineng Mini Wheel Loader. Maximum MAER of 13.5% and minimum R2of 0.Roof Mounting Solar System 10kw off Grid Tied Power-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Screw Top Metal Tin Can.a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels,vol. 46, no.6. pp. 559-562.         [2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA]

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Khalesi, M. R., Zarei, M. J.,Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House.Minerals Engineering,vol. 81. pp. 103-108.         [China Single Phase Variable Frequency Inverter 1.5kw]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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