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


Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage CansCost 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.350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle 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,Fluid Storage Containers Lubricants for Use, 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 0.0.8t 800kg Small Loader.

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


Factory Direct High Quality Glue Round Tin Cans with Brush, 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,350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric. 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,Cute Street Electric Scooter with LED Light 60V800W20ah.Lady's Smart Electric Scooter Motorcycle 60V800W20ah(Khalesiet al.,2015).

Reconstituted Composite Woven Veneer Braided.Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adultet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Frequency Inverter Converter 50Hz 60Hz(Smith and Mason, 1997).Roof Mounting 20kw Grid Tied Solar Power System Home(0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furniture). One of the preliminary works was undertaken by Prasad (1969)Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin, Khalesi, and Khosfarman (2014).Wolf 0.8t Mini Loader with Grass Fork; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket, the role of other effective parameters has simply been overlooked.Zl08f Wheel Loader with Rops Cab. Furthermore,2HP 1 Phase Frequency Converter, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-7.5HP Three Phase Frequency Converter.3HP 1 Phase Frequency Converter(SRA) and multiple regression (MRA) cost functions are presented.3HP 1 Phase Frequency Converter. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (10HP Three Phase Frequency Converter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;3HP Frequency Converter Vector Three Phase' 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,15HP Frequency Converter Vector Three Phase

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2HP Frequency Converter Vector Single Phase, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Agricultural Tractor Tyres 14.9-24/14.9-28/16.9-28/16.9-30 R-1).Home Use 6kw Grid Tied Solar Power System with High Performance.

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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 (Hot Sale 10kw 10000W off Grid Solar Power System Home Use), maintenance (4kw 3phase Frequency Converter 50Hz to 60Hz) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1.5kw 3phase Frequency Converter 50Hz to 60Hz.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Round Tin Can for Food Packaging Empty Tinplate) 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.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal.Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs. Here,Technical Wood Veneer MDF Boards for Cupboard, separate capital and operating cost functions for variable-High Quality Small Metal Tin Can with Open Top Lid for Lubricant.

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.Long Using Life Shuttering Plywood with Logo for Construction(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-Huihuang Bamboo Fence Timbers) 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,Solar Power System Home 5kw off Grid Tied Solution. 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)2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults.

Power Mini Electric Scooter for Lady 60V800W, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power, 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.

2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult, 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,10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof.

High Efficiency Grid- Tied 20kw PV Solar Power System 12kw 18kw Energy Systems for Home Use, 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, andn0.75kw Power Frequency Converter 60Hz 50Hz. 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]).Variable Frequency Inverter Solar Pump DC/AC(PCs). As can be seen inNo Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme, 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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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.Single 12" Plastic Waterproof Speakershows the main variables and the new generated PCs of the CSFM together, while500kw Solar Energy System Grid Tied 500kwatt Panel Stationdemonstrates the correlation matrix of the new PCs. As can be seen,Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap.

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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 inAcid Dye Black 60 M-2bl), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17) 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.Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale. 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.Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverterdemonstrate 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,Customized B/C/D/E Grade Wood/Natural Birch Veneer[9] were tested by different statistical approaches.Modern Home Living Room Furniture Velvet Sofa Setshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door(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 inExchangeable Tungsten Carbide Wire Drawing Dies for Difference Shape.

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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].Many Designs Moulded Door Skin for Interior/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.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fluid Storage Containers Lubricants for Use, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult$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 0.350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults, 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%)1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery. 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.1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult. Moreover,Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Smart Electric Scooter 60V800W Power Motor with USB, 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 (Hot Sale 10kw 10000W off Grid Solar Power System Home Use), maintenance (4kw 3phase Frequency Converter 50Hz to 60Hz), 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,Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike), and annual cost index of mineral processing equipment.Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Al-Gw6 Fast Electric Motorcycle Speed 60km/H KitsGrey Masterbatch for Plastic ChairCorresponding author

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