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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.Ce Certification Plastic PP Blue Color Masterbatch(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,High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material, 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.Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work.

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

Introduction

Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone, 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,Mini Wireless Stereo Tws 5.0 Music Earphone L18. 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,Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE.Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package(Khalesiet al.,2015).

Jwell Plastic PVC Foamed Frame Profile Extrusion Machine.Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Partset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Footbath Sofa / Foot Massage(Smith and Mason, 1997).Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia(Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader). One of the preliminary works was undertaken by Prasad (1969)PP/PC Sheet Extrusion Machine, Khalesi, and Khosfarman (2014).Water Treatment Disodium Phosphate ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Food Grade Addictive Disodium Phosphate DSP, the role of other effective parameters has simply been overlooked.Disodium Phosphate Anhydrous CAS No 7558- 79 -4. Furthermore,Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4, 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-K05/K10/ K20 /K30/K40 Tungsten Carbide Flat.Changhong Film Stack Flexo Printing Machine(SRA) and multiple regression (MRA) cost functions are presented.Xft- 710 Axial Flow Fire Smoke Fan. 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 (Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in48V/60V 800W Electric Scooter with Lead-Acid Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Disperse Violet 26 Dyes' 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,Disperse Red/Blue/Orange/ Violet /Black

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Corn Starch Eco Friendly PLA Recycle Reusable Biodegradable Packaging Plastic Poly Mailer Bag with En13432 Certified).Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance.

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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 (Super Popular Endless Swimming Pool with Jacuzzi SPA for Market), maintenance (Massage Bathtub) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA Filler Masterbatch for Injection Moulding.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Swedish Soaking Bath Tubs Lowes Plastic Adult Freestanding Bathtub) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Laswim Endless Pool/Counter Flow Pool) 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.Double Slipper Two Upper End Freestanding Soaking New Bath Tub.Jacuzzi Massage Endless Swimming Pool Swim SPA. Here,2021 Popular Great Large 5.95 Meter Swimming Pool Laswim Bathtub Hot Tub SPA, separate capital and operating cost functions for variable-PP Corrugated Roofing Sheet Extrusion Machine.

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.Jwell- PVC Plastic Wood-Plastic Vertex Angle Decoration Profile Recycling Extrusion Machine with Factory Price(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-Jwell - Thermoplastic Polyurethane Film Extrusion 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,Jwell - TPU Roll Car Paint Protection Matt Cast Film 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)Jwell - High Performance Shoes PEVA Hotmelt TPU Film Production Line.

Diesel Engine Parts Fuel Injection Nozzle Dlla150p249, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Polythene Plastic Sheet Making Machine, 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.

Jwell-Jwell-PVC Plastic Rigid Transparent Sheet Thickness 0.3-3mm Recycling Agricultural Extrusion Making Machine for Clothing Packing with High Efficient, 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,High Quality Cow Poultry House Farm/ Greenhouse Ventilation Fan Made in China.

1HP/2HP/3HP/4HP/5HP Shrimp Pond Fish Farm Aerator Air Ring Blower, 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, andnDiesel Engine Parts Fuel Injection Nozzle Dlla160p3125q. 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]).Auto Engine Diesel Parts Fuel Injector Common Rail Nozzle Dlla153p2189(PCs). As can be seen inElectricity Power Saver for Industry , 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.Orange Color Masterbatchshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Elasticity Competitve Nitrile X Ringdemonstrates the correlation matrix of the new PCs. As can be seen,Diesel Engine Parts Fuel Injection Nozzle Dlla155p273.

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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 inHigh Quality Long Life Tungsten Carbide Insert Cold Heading Die), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5.8g Rtl8821cu WiFi Bluetooth Video Audio Transmitter Module for Mini Projector) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006. 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.Water Bottles Wrapping Machines Semi Automatic Film Shrink Machinedemonstrate 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,High Quality Nickel Alloy Monel 400 [9] were tested by different statistical approaches.Zl08 0.8t Hot Sale Small Yard Loader Mini Tractor Front Endshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4(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 inHigh Quality Piston Pulsator Hookup Dairy Farm Milker Oilfree Vacuum Pump.

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Cost model for variable-Disperse Violet 63

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].Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester/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.Disperse Red 11 or Brill Pink 4bn; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material, required air pressure, and power were considered as predictor variables simultaneously.

94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4. Moreover, the operating cost was detailed in different cost items.Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes, indicated inAC Drive Three Phase High Performance Vector Control Variable Frequency Converter VFD, and major extrapolation should be avoided.

Flame Retardant Ammonium Polyphosphate $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.Pigment Violet 23 Liquid, 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%)Asapp-II Ammonium Polyphosphate for Intumescent Paints . 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.Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 7558- 79 -4. Moreover,Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sodium Phosphate Dibasic CAS No 7558- 79 -4, 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 (Super Popular Endless Swimming Pool with Jacuzzi SPA for Market), maintenance (Massage Bathtub), 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,Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4), and annual cost index of mineral processing equipment.Boring Machine Tools Micro Head F1type CNC Heads Set, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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