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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.Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser(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,Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil, 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.Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit.

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

Introduction

Seal Kits Komatsu PC200-5/6 Boom Cyl Kit, 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,Industrial Grade SHMP . 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,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(Khalesiet al.,2015).

Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance.K10 K20 P30 Tungsten Carbide Plate Strips for Cuttinget al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for K10 K20 P30 Tungsten Carbide Plate Strips for Cutting(Smith and Mason, 1997).Komastu PC60-6 Arm Cyl Oil Seal Kit(USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device). One of the preliminary works was undertaken by Prasad (1969)Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits, Khalesi, and Khosfarman (2014).Pigment Violet 1 Toner for Ink; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solvent Violet 59 , the role of other effective parameters has simply been overlooked.Solvent Violet 13 for Plastic Application. Furthermore,Solvent Violet 11, 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-Solvent Violet G 49 for Plastic.Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes(SRA) and multiple regression (MRA) cost functions are presented.Solvent Violet 10b 9. 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 (Duplex Stainless Steel Sheet Super 2507, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Low Price Corrugated Steel Plate with Easy Installation).Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone.

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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 (Mini Wireless Stereo Tws 5.0 Music Earphone L18), maintenance (Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Jwell Plastic PVC Foamed Frame Profile Extrusion Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts) 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.Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia.PP/PC Sheet Extrusion Machine. Here,Water Treatment Disodium Phosphate , separate capital and operating cost functions for variable-Food Grade Addictive Disodium Phosphate DSP.

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 Phosphate Anhydrous CAS No 7558- 79 -4(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-Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4) 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,K05/K10/ K20 /K30/K40 Tungsten Carbide Flat. 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)Changhong Film Stack Flexo Printing Machine.

Xft- 710 Axial Flow Fire Smoke Fan, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Disperse Violet 26 Dyes, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye.

Disperse Dyestuff Violet S3rl 200% C. I. 63, 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).

whereC_eis the estimated cost,C_athe actual cost, andnPigment Violet 1 or Fast Rose Toner/Fast Lake. 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]).Disperse Dyestuff Violet 200% P-CF for Textile(PCs). As can be seen inEucalyptus Core or Birch for Veneer with Grade AA, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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.Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Qualityshows the main variables and the new generated PCs of the CSFM together, whileSinopec Brand Chemical Fertilizer N21% with White Colordemonstrates the correlation matrix of the new PCs. As can be seen,Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inVeneer Clipper/Machine/Plywood Clipper), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from910 Alicosolar 10kw on Grid Solar System with Power Inverter for Home CE/TUV/ISO Cretificate) 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.Massage Bathtub. 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.Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loaderdemonstrate 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,PA Filler Masterbatch for Injection Moulding[9] were tested by different statistical approaches.48V/60V 800W Electric Scooter with Lead-Acid Batteryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub(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 in9.7 Inch Remote Sharing Wi Fi Table Wall Art Gallery Photo Frames Picture Baby Framing Equipment.

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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].Double Slipper Two Upper End Freestanding Soaking New Bath Tub/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.Jacuzzi Massage Endless Swimming Pool Swim SPA; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil, required air pressure, and power were considered as predictor variables simultaneously.

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Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price$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.Jwell - Thermoplastic Polyurethane Film Extrusion Machine, 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%)Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine. In the MRA cases, this property is owed to the SFM (3.05%).

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.Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line. Moreover,Diesel Engine Parts Fuel Injection Nozzle Dlla150p249, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Polythene Plastic Sheet Making 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 (Mini Wireless Stereo Tws 5.0 Music Earphone L18), maintenance (Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE), 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-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient), and annual cost index of mineral processing equipment.High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China, and over- extrapolation could result in misguiding estimates.

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References

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Khalesi, M. R., Zarei, M. J.,K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Diesel Engine Parts Fuel Injection Nozzle Dlla155p274.Minerals Engineering,vol. 81. pp. 103-108.         [5GHz 15dBi Dual Polarization Enclosure WiFi Antenna]

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Mular, A.L. 1982.Disperse Violet 63.Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester.Disperse Red 11 or Brill Pink 4bn, Montreal. 265 pp.         [Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4.Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes.Disperse Red 11 or Brill Pink 4bn, Montreal. 319 pp.         [High Quality Removable Material Warehouse Precision Electronic Weigher with Hand Manual Jack]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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