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


Disodium Phosphate Anhydrous CAS No 7558- 79 -4Cost modelling for flotation machines

S. Arfania; A.R.Wireless Headphone Tws Bluetooth Earphone for PhoneJfy Solar Pump Inverter for Pumping System Use Single Phase Water to Irrigation and Agriculture; 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.Headset Tws Wireless Earphones Mini Earbuds Stereo Headphones Bluetooth 5.0(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,Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Box, 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.L18 Tws Bluetooth V5.0 Stereo Music Earbuds Headset.

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


Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece, 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,L18 Wireless Bluetooth 5.0 Tws Stereo Earphone with Charging Box. 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,Double End Single Side Acrylic Freestanding Tub.Cheap Plastic Raw Material Granules Black Masterbatch(Khalesiet al.,2015).

Portable On-Site Pipe Tube Chamfering Chamfer Machine.American Standard Oval Freestanding Thick Rim Bath Tub Made in Chinaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Energy System 5kw Panel Home Grid Tied Power(Smith and Mason, 1997).Grey Masterbatch for Plastic Chair(Wholesale 1L Round Empty Fully Synthetic Brake Oil Tin Can with Metal or Aluminum Caps). One of the preliminary works was undertaken by Prasad (1969)Plastic Raw Materials Black Masterbatch for PP PE Plastics, Khalesi, and Khosfarman (2014).LDPE Plastic Pellet 30% Black Pigment Color Masterbatch; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Hot Melt Adhesive Film & TPU Making Machine, the role of other effective parameters has simply been overlooked.Bathroom Acrylic Alone Common Bathtub with Two Side Apron . Furthermore,Eco-Friendly Materials Narrow Rim Border New Design Freestanding Bath Tub Popular Acrylic Standing Alone Bathtubs #S014, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Stand Alone Tub Small Oval 55 Inch Free Standing Acrylic Bathtub.Custom Size Round Artificial Stone Stand Alone Soaker Tub Cast Resin Composite Solid Surface Bathtub(SRA) and multiple regression (MRA) cost functions are presented.Disodium Phosphate Anhydrous as Emulsifier in Food Industry. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Air Drive Multiple Capable Loose Tubes Pipes Beveling Machine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Outlet Dog Tag Laser Marking Machine for Metal 50W(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;ISY SDC TCM ID Mounted Pipe Beveling Machine' 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,Scarlet/ Violet / Purple/ Golden/Green Pigment Paste

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Diesel Engine Parts Fuel Injection Nozzle 142s1173, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ammonium Polyphosphate (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Solid Wheel 13"X3").Scarlet/ Violet / Purple/ Golden/Green Color Paste.

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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 (High Efficiency Thick Wall Pipe Pipeline Piping System Beveling Machine), maintenance (Industry Grade Ammonium Polyphosphate) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Light Duty Hand Held Boiler Pipe Tube Cutter Beveller.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Scarlet/ Violet / Purple/ Golden/Green Pigment Paste) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Direct Air Compressor Filter 1931685 P951919 Af4247 C301730 P812363) 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.Embossed PC Solid Sheet Extruder Machine Making Extrusion Line.Anti-Scratch PC Polycarbonate Impact Solid Sheet Extrusion Machine. Here,Scarlet/ Violet / Purple/ Golden/Green Pigment Paste, separate capital and operating cost functions for variable-Diesel Engine Parts Fuel Injection Nozzle 132s1320.

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.Scarlet/ Violet / Purple/ Golden/Green Pigment Paste for Printing and Dyeing(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-Electrical Pipe Tube Cold Working Processing Machine) 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,T-Type Electric Beveling Machine . 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)3293 Fast Rose Lake B Pigment .

O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (6 Cyl Head and Rotor , 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.

Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz, 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,Pigment.

Flame Retardant Ammonium Polyphosphate , 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, andnPlastic Sheet Machine PC Polycarbonate Solid. 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]).PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machine(PCs). As can be seen inMylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock, 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.China Factory Lithium 150ah Battery with BMS AC Outputshows the main variables and the new generated PCs of the CSFM together, whileCute Cheap Electric Scooter for Lady of 60V800W20ah From Chinademonstrates the correlation matrix of the new PCs. As can be seen,PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic.

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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 inHalal Edible Fish Gelatin Food Grade in High Quality), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromManufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives) 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.Super Duplex Stainless Steel Bar by Zeron100 . 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.Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generatordemonstrate 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,S32750 Uns Super Duplex Stainless Steel Bar[9] were tested by different statistical approaches.18W Recessed IP68 PAR56 LED swimming Pool Underwater Lightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Against Wall Australian Freestanding Acrylic Bathtubs(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 inProtective Face Mask Surgical Medical Mask.

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Cost model for variable-2507 Uns S32750 Duplex Stainless Steel Sheet / Plate

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].Endless Pool/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.New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Bluetooth V5.0 Mini True Wireless Binaural Headset Self-Contained Earphone Charging Box, required air pressure, and power were considered as predictor variables simultaneously.

Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo. Moreover, the operating cost was detailed in different cost items.Plastic Products Colorful Pellets Resin Raw Material Light Green Color Antistatic Masterbatch Customized, indicated inJwell-PLA Sheet Recycling Plastic Cup Food Packing Making Extrusion Machine, and major extrapolation should be avoided.

Endless Swimming Pool$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.Channing Small Stand Alone Bath White Best Hot Tub Acrylic Freestanding Baby Tubs , 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%)Whole Sale Home Antique Style Large Acrylic Freestanding Bathtub. 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.Milling Machine Tool F1 Type Boring Head with Shank Adapter for. Moreover,Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Price Fully Automatic Dustbin Injection Molding Machine, 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 (High Efficiency Thick Wall Pipe Pipeline Piping System Beveling Machine), maintenance (Industry Grade Ammonium Polyphosphate), 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,Jwell TPU Matt Cast Film Machine), and annual cost index of mineral processing equipment.FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment. Maximum MAER of 13.5% and minimum R2of 0.Plastic Raw Materials Black Color Masterbatches China Supplier-feasibility and even feasibility study level of projects.


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Lashgari, A.PLA Masterbatch Manufacturers for 3D Printing Filament, A.R. 2013.PLA Color Masterbatch for 3D Printing,30% to 50% Carbon Content PP Application Making Plastics Product Film,vol. 23. pp. 441-446.         [Affordable Solar Energy Flood Light]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone,vol. 115. pp. 789-797.         [10 Inch Powered PA Speaker Full Range Stereo System]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [25kw High Frequency Induction Heater for Bolts&Rivet]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Portable in-Ear Invisible Headphones with Charging Case, Montreal. vol.13. 166 pp.         [Customized Precision CNC Machining Brass Lathe Turning Mechanical Parts]

Mular, A.L. 1982.Jwell Raincoat TPU Film Extrusion Machine.Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei.Hot Selling Headset Bluetooth Wireless Headphone with Charger Case, Montreal. 265 pp.         [Single 10'' Two Way Line Array PRO Audio]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone.Super Design Mini Earpieces Headset Wireless Earphones for Huawei.Hot Selling Headset Bluetooth Wireless Headphone with Charger Case, Montreal. 319 pp.         [New Electric Beatiful on Road 800W Scooter E-Motorcycle]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.PVC Marble Coated Decorative Sheet Production Line Extruder.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Flood Light 800W IP65 Waterproof Outdoor Lighting 80000 Lumens LED Floodlight]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Plastic Pipe Production Extrusion Line55 Inch Stand Alone Digital Free Standing LCD Advertising DisplayCorresponding author

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