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



CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming MachineCost modelling for flotation machines

S. Arfania; A.R.Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder MachineKaraoke System 10 Inch Sound Speaker Cvr Professional Audio; 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.Disodium Phosphate Food Grade Manufacturer(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,99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent, 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.Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7.

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


Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9, 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,High Quality Disodium Phosphate Sell by Factory. 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 Supply Disodium Phosphate Anhydrous Food Additive.Head Gasket (Khalesiet al.,2015).

Disodium Hydrogen Phosphate .High Quality et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dimer Acid Liquid for Monthly Output 5000mt Co-Solvent Polyamide Resin(Smith and Mason, 1997).K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight(Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl). One of the preliminary works was undertaken by Prasad (1969)Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser, Khalesi, and Khosfarman (2014).Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit, the role of other effective parameters has simply been overlooked.Seal Kits Komatsu PC200-5/6 Boom Cyl Kit. Furthermore,Industrial Grade SHMP , 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-Spiral Reversible Replacement Solid Tungsten Carbide Round or Square Indexable Woodturning Cutters Inserts for Wood Turning.E320L/B/C/D Boom Arm Bucket Cyl Seal Kit Excavator Oil Kits(SRA) and multiple regression (MRA) cost functions are presented.Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (K10 K20 P30 Tungsten Carbide Plate Strips for Cutting, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Supply CAS 79 // 03 //8 Safe Shipment High Purity(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Komastu PC60-6 Arm Cyl Oil Seal Kit' 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,Solvent Violet 11

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Solvent Violet G 49 for Plastic, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (8 Feet /4 Feet/10 Peeling and Cutting Together Wood Planer Peeler Machine).Solvent Violet 10b 9.

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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 (Duplex Stainless Steel Sheet Super 2507), maintenance (ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (ASTM A790 Uns S31803 Seamless Stainless Steel Tube) 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.Manufacture High Quality PLA Silk Color Masterbatch.Ce Certification Plastic PP Blue Color Masterbatch. Here,High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material, separate capital and operating cost functions for variable-Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work.

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.Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone(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-Mini Wireless Stereo Tws 5.0 Music Earphone L18) 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,Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE. 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)Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package.

Jwell Plastic PVC Foamed Frame Profile Extrusion Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts, 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.

Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia, 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,PP/PC Sheet Extrusion Machine.

Water Treatment Disodium Phosphate , 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, andnFood Grade Addictive Disodium Phosphate DSP. 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]).Disodium Phosphate Anhydrous CAS No 7558- 79 -4(PCs). As can be seen inCheap Price PA Speaker of Line Array Rigging 8 Inch , 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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K05/K10/ K20 /K30/K40 Tungsten Carbide Flat,Changhong Film Stack Flexo Printing Machine(CSFM) is presented here as an example.USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Deviceillustrates 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.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lampshows the main variables and the new generated PCs of the CSFM together, whileMetal Tinplate Container Engine Oil Can with Screw Capdemonstrates the correlation matrix of the new PCs. As can be seen,Xft- 710 Axial Flow Fire Smoke Fan.

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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 inNew Fashion Mens Plain Fleece Hooded Sweatshirt), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from3D Ebony Veneneer Engineered Veneer Recomposed Okleiny Na Fizelinie for Plywood Door) 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.Disperse Violet 26 Dyes. 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.Sinopec Brand Chemical Fertilizer N21% with White Colordemonstrate 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,Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye[9] were tested by different statistical approaches.4kw 3phase Frequency Converter 50Hz to 60Hzshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Disperse Dyestuff Violet S3rl 200% C. I. 63(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 inHot Sale Ceramic Factory Supply 11oz Popular Red Mug for Wholesale.

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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].Disperse Dyestuff Violet 200% P-CF for Textile/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.Disperse Red/Blue/Orange/ Violet /Black; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent, required air pressure, and power were considered as predictor variables simultaneously.

Disperse Dyestuff Violet Recp-Hf 100% for Textile. Moreover, the operating cost was detailed in different cost items.Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components, indicated inVelaslim Health Beauty Velashape Vacuum RF Cavitation LPG Body Slimming Equipments for, and major extrapolation should be avoided.

Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance$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.Super Popular Endless Swimming Pool with Jacuzzi SPA for Market, 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%)Massage 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.PA Filler Masterbatch for Injection Moulding. Moreover,Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Laswim Endless Pool/Counter Flow Pool, 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 (Duplex Stainless Steel Sheet Super 2507), maintenance (ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe), 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,Double Slipper Two Upper End Freestanding Soaking New Bath Tub), and annual cost index of mineral processing equipment.Jacuzzi Massage Endless Swimming Pool Swim SPA, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA. Maximum MAER of 13.5% and minimum R2of 0.PP Corrugated Roofing Sheet Extrusion Machine-feasibility and even feasibility study level of projects.


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Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Two People Massage 1700*1100 Bathtub with Pillow and Grab for Wholesale]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [48V/60V 800W Electric Scooter with Lead-Acid Battery]

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Khalesi, M. R., Zarei, M. J.,Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine.Minerals Engineering,vol. 81. pp. 103-108.         [Electricity Power Saver for Industry ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA]

Lashgari, A.Diesel Engine Parts Fuel Injection Nozzle Dlla150p249, A.R. 2013.Polythene Plastic Sheet Making Machine,Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient,vol. 23. pp. 441-446.         [Weda Small Cheap Qt4-15s Automatic Hydraulic System Vibration Force Strong Cement Fly Ash Concrete Brick and Block Making Machine Production Line]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China,vol. 115. pp. 789-797.         [High Quality Elasticity Competitve Nitrile X Ring]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [5GHz 15dBi Dual Polarization Enclosure WiFi Antenna]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Diesel Engine Parts Fuel Injection Nozzle Dlla155p273.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [PU Wheel 2000kg Hand Pallet Truck with Digital Weighing Scale]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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