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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

Diesel Engine Parts Fuel Injection Nozzle 140sn634Cost modelling for flotation machines

S. Arfania; A.R.Factory Price Fully Automatic Dustbin Injection Molding MachineChina Single Phase Variable Frequency Inverter AC 220V; M.R. Khalesi

Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.Jwell TPU Matt Cast Film Machine(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,FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier, 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.Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment.

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


Introduction

Plastic Raw Materials Black Color Masterbatches China Supplier, 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,35% Blowing Film Grade Carbon Black Masterbatch Manufacture. 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,Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts.2021 New Design Plastic Injection Molding Machine Made in China(Khalesiet al.,2015).

Carbon Black Masterbatch for Injection Moulding.PLA Masterbatch Manufacturers for 3D Printing Filamentet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 800W Electric Scooter/Motorcycle with LED Light(Smith and Mason, 1997).PLA Color Masterbatch for 3D Printing(Lebekan Aluminum Materials High Power COB LED Flood Light Waterproof Lights 100W 200W 400W 600W 800W). One of the preliminary works was undertaken by Prasad (1969)30% to 50% Carbon Content PP Application Making Plastics Product Film, Khalesi, and Khosfarman (2014).V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Portable in-Ear Invisible Headphones with Charging Case, the role of other effective parameters has simply been overlooked.Jwell Raincoat TPU Film Extrusion Machine. Furthermore,Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei, 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-Hot Selling Headset Bluetooth Wireless Headphone with Charger Case.Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone(SRA) and multiple regression (MRA) cost functions are presented.Super Design Mini Earpieces Headset Wireless Earphones for Huawei. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (PVC Marble Coated Decorative Sheet Production Line Extruder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mini Private Design Tws True Wireless Stereo Headphone for Huawei' 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,T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PVC Plastic Marble Board/Plate/Wall Extruder, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Food Additive Granular Dihydrate Disodium Phosphate(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Transparent Pink Green Color Acrylic Dropper Bottle 20ml 30ml).Factory Supply Disodium Phosphate Food Grade.

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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 (E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits), maintenance (Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Disodium Phosphate Food Grade Manufacturer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7) 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.Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9.High Quality Disodium Phosphate Sell by Factory. Here,Factory Supply Disodium Phosphate Anhydrous Food Additive, separate capital and operating cost functions for variable-Head Gasket .

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.Disodium Hydrogen Phosphate (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-High Quality ) 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,K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight. 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)Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser.

Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit, 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.

Seal Kits Komatsu PC200-5/6 Boom Cyl Kit, 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,Industrial Grade SHMP .

Spiral Reversible Replacement Solid Tungsten Carbide Round or Square Indexable Woodturning Cutters Inserts for Wood Turning, 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, andnE320L/B/C/D Boom Arm Bucket Cyl Seal Kit Excavator Oil Kits. 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]).Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance(PCs). As can be seen inProfessional Speaker System Dual 10 Inch Three Way Line Array Audio V310, 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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Komastu PC60-6 Arm Cyl Oil Seal Kit,Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits(CSFM) is presented here as an example.High Quality Custom Printed Pet Food Packaging Bagsillustrates 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.Sodium Phosphate Dibasic CAS No 7558- 79 -4shows the main variables and the new generated PCs of the CSFM together, whilePharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powderdemonstrates the correlation matrix of the new PCs. As can be seen,Pigment Violet 1 Toner for Ink.

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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 in22L Large Capacity Multi-Pockets Leak-Proof Picnic Bag for Hiking), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from60W LED High Power Bluetooth Speaker Ceiling Light) 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

Solvent Violet 59

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.Solvent Violet 13 for Plastic Application. 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.Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928demonstrate 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,Solvent Violet 11[9] were tested by different statistical approaches.CE Approved Vacuum Cavitation Roller RF Velashape 3 Slimming Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Solvent Violet G 49 for Plastic(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 in2 Person Corner Whirlpool and Air Bathtub.

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Cost model for variable-Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes

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].Solvent Violet 10b 9/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.Duplex Stainless Steel Sheet Super 2507; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier, required air pressure, and power were considered as predictor variables simultaneously.

ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe. Moreover, the operating cost was detailed in different cost items.Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar, indicated inFactory Supply CAS 79 // 03 //8 Safe Shipment High Purity, and major extrapolation should be avoided.

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Conclusion

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.Ce Certification Plastic PP Blue Color Masterbatch. Moreover,High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work, 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 (E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits), maintenance (Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine), 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,Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone), and annual cost index of mineral processing equipment.Mini Wireless Stereo Tws 5.0 Music Earphone L18, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE. Maximum MAER of 13.5% and minimum R2of 0.Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package-feasibility and even feasibility study level of projects.

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Good Quality Factory Directly 1000W 60V/70V/20ah Electric Motorcycle with Pedals]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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