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



PRO Audio Speaker Dual 10 " Line ArrayCost modelling for flotation machines

S. Arfania; A.R.15HP Frequency Converter Vector Three PhaseAcrylic Film Quadrant Frosted Glass Shower Cubicle with Low Tray ; M.R. Khalesi

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.2HP Frequency Converter Vector Single Phase(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,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, 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.Home Use 6kw Grid Tied Solar Power System with High Performance.

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


Hot Sale 10kw 10000W off Grid Solar Power System Home Use, 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,4kw 3phase Frequency Converter 50Hz to 60Hz. 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,1.5kw 3phase Frequency Converter 50Hz to 60Hz.Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels(Khalesiet al.,2015).

Round Tin Can for Food Packaging Empty Tinplate.2021 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedalet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Speaker Wall Mounting Bracket (Smith and Mason, 1997).Pencil Cedar Veneer Medium Denstiy Fiberboards for Stairs(Chinese Factory for Vitamin a Palmitate 0.25miu Powder). One of the preliminary works was undertaken by Prasad (1969)Technical Wood Veneer MDF Boards for Cupboard, Khalesi, and Khosfarman (2014).High Quality Small Metal Tin Can with Open Top Lid for Lubricant; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Long Using Life Shuttering Plywood with Logo for Construction, the role of other effective parameters has simply been overlooked.Huihuang Bamboo Fence Timbers. Furthermore,Solar Power System Home 5kw off Grid Tied Solution, 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-2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults.Power Mini Electric Scooter for Lady 60V800W(SRA) and multiple regression (MRA) cost functions are presented.Dah Complete on Grid Solar System Easy Install 30kw 50kw Tied Power. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof' 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,2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (PVC Sheet Roll Flooring Waterproof Strong Quality China Floor Covering Goldenma Brand).500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical.

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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/ Refrigerating Fulid Screw Top Can with Brush Wholesale), maintenance (Customized B/C/D/E Grade Wood/Natural Birch Veneer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cute Cheap Electric Scooter for Lady of 60V800W20ah From China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Many Designs Moulded Door Skin for Interior) 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.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin.Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA. Here,Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady, separate capital and operating cost functions for variable-Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult.

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.350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults(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-1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery) 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,1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult. 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)Chinese Best Cheap Electric Scooter Korea Hot Sell 48V Thailand Motorcycle with Pedal.

Hot Smart Electric Scooter 60V800W Power Motor with USB, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Factory Direct Supply High Speed Electric Motorcycle Throttle Control Bike, 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.

Cheap Street Electric Scooter Motorcycle with Bit Protect Frame 60V800W, 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,China Tl08 Mini Wheel Loader with Low Price for Sale.

Er08 Farm Mini Loader with Standard Bucket for Sale, 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, andnYn725 Yineng Mini Wheel Loader 18.5kw. 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]).Ce Approved Mini Loader with Road Sweeper(PCs). As can be seen inXft- 710 Axial Flow Fire Extinguisher Fan, 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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Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use,Mars Solar 5kw on Grid Home Power System 5000W 5kVA 5000 Watts Energy Systems 10kw Tied(CSFM) is presented here as an example.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolateillustrates 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.China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clearshows the main variables and the new generated PCs of the CSFM together, whileEEC Electric Scooter demonstrates the correlation matrix of the new PCs. As can be seen,60V/72V 1200W Electric Scooter with Tianneng Battery.

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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 inWholesale New Design 14 K Gold Plated Fashion Jewelry 925 Sterling Silver or Brass CZ Ring), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGrid Tied 11kw Solar Panel System Home Commercial Power Supply) 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.


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.Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power System. 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.Line Array System with Parts for PRO Audio Speaker 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,Metal Cans 0.925 Liter Tin Barrel for Packaging Container[9] were tested by different statistical approaches.Satellite Ts Encryption HD Receiver with Multiplexing Functionshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Frequency Inverter Pump AC Drive Price(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 inFactory Custom Plushie Kwaii Super Soft and Cute Stuffed Animal Durable Puppy Dog Toy.

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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].Power Frequency Converter 60Hz 50Hz Price/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.Frequency Converter for Water Pump; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, required air pressure, and power were considered as predictor variables simultaneously.

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0.5L Tin Can with Dry Cover$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.Food Grade Container 1 Liter Square Olive Oil Latest Design Metal Tin Cans, 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%)AC Frequency Converter 50Hz 60Hz Drive Inverter. 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.Good Quality Electric Bike & Two-Wheel Dual Motor Foldable China Motorcycle for Adult. Moreover,Food Grade 3 Liter Square Olive Oil Tin Can with Handle and Cap, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800W, 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/ Refrigerating Fulid Screw Top Can with Brush Wholesale), maintenance (Customized B/C/D/E Grade Wood/Natural Birch Veneer), 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,850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltage), and annual cost index of mineral processing equipment.Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE CertificateHigh Speed Full Size Adult 800W Z1000 Electric MotorcycleCorresponding author

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