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Hot Sale Birch Wood Veneer Core for PlywoodCost modelling for flotation machines

S. Arfania; A.R.T-Type Electric Beveling Machine PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System; 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.3293 Fast Rose Lake B Pigment (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,O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014, 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 0.6 Cyl Head and Rotor .

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

Introduction

Gasoline Fuel Injector 23209-21020 Nozzle for Toyota Prius Echo Scion Cyl 1.5L 1nz, 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,Pigment. 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,Flame Retardant Ammonium Polyphosphate .Plastic Sheet Machine PC Polycarbonate Solid(Khalesiet al.,2015).

PMMA GPPS Sheet/Board Plastic Extruder Machine/Making Machine.PC/PMMA/GPPS Optical Plate/Board Extrusion Making Machine/Extruderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Electric Motorcycle (Smith and Mason, 1997).Jwell High Quality Pet Sheet Extrusion Machine for Protective Mask(Factory Direct Sale Dimethyl Gonane 702- 79 -4). One of the preliminary works was undertaken by Prasad (1969)Disodium Phosphate Anhydrous, Khalesi, and Khosfarman (2014).PC/Polycarbonate/GPPS/PMMA Sheet Extruder Machine/Plastic; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Uns S31254 En 1.4547 F44 Price Per Kg Super Austenitic Stainless Steel Round Bar Rod, the role of other effective parameters has simply been overlooked.Super Duplex Stainless Steel Bar by Zeron100 . Furthermore,S32750 Uns Super Duplex Stainless Steel Bar, 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-Against Wall Australian Freestanding Acrylic Bathtubs.2507 Uns S32750 Duplex Stainless Steel Sheet / Plate(SRA) and multiple regression (MRA) cost functions are presented.Endless Pool. 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 (New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1gallon Round Metallic Tin Can with Metal Handle for Paint(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Outdoor Jet Surf Massage Bubble SPA Swimming Pool Hot Tub Combo' 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,Milling Machine Tool F1 Type Boring Head with Shank Adapter for

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Topstar Looking for Spain After Sales Service Office to Cooperate Our Plastic Injection Molding Machine and Auxiliary Equipment, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Price Fully Automatic Dustbin Injection Molding Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashion Trendy Custom Logo Rolltop Casual Rucksack for Student).Jwell TPU Matt Cast Film Machine.

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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 (FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier), maintenance (Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Plastic Raw Materials Black Color Masterbatches China Supplier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (35% Blowing Film Grade Carbon Black Masterbatch Manufacture) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Uns S31703/AISI 317L Stainless Steel Sheet/Plate/Coil/Pipe/Flange/Fittings/Bolt & Nuts) 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.2021 New Design Plastic Injection Molding Machine Made in China.Carbon Black Masterbatch for Injection Moulding. Here,PLA Masterbatch Manufacturers for 3D Printing Filament, separate capital and operating cost functions for variable-PLA Color Masterbatch for 3D Printing.

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.30% to 50% Carbon Content PP Application Making Plastics Product Film(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-V5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone) 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,Portable in-Ear Invisible Headphones with Charging Case. 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 Raincoat TPU Film Extrusion Machine.

Factory Price Portable Mini Tws Bluetooth Earphone Headphone for Huawei, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Selling Headset Bluetooth Wireless Headphone with Charger Case, 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.

Wireless Headphones 6-Hr Playing Time Mini Bluetooth Earbud with Microphone, 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,Super Design Mini Earpieces Headset Wireless Earphones for Huawei.

PVC Marble Coated Decorative Sheet Production Line Extruder, 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, andnMini Private Design Tws True Wireless Stereo Headphone for Huawei. 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]).Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime(PCs). As can be seen inL-Arginine Powder Amino Acid Pure Manufacturer, 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.Single 10'' Two Way Line Array PRO Audioshows the main variables and the new generated PCs of the CSFM together, whileNew Electric Beatiful on Road 800W Scooter E-Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories.

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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 in40-50V 32AMP 2pin Waterproof Low Voltage Socket for Industrial Application), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHot Sale 8mm thickness Full Waterproof IP68 LED Underwater Pool Panel 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

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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.Food Additive Granular Dihydrate Disodium Phosphate. 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.New Design Converter 220V 380V DC AC Inverter Motor Pump VFD Power High Qualitydemonstrate 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,Factory Supply Disodium Phosphate Food Grade[9] were tested by different statistical approaches.4.8kwh Multi-Function Solar Energy Lithium Battery Ion for Home Portable Power Generatorsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits(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 inFully Automatic High Speed N95 Medical Face Mask Making Machine Original Factory.

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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].Disodium Phosphate Food Grade Manufacturer/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.99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,O2 Oxygen Sensor for Honda Accord 2.3L 4 Cyl F23A4 2000-2002 234-9014, required air pressure, and power were considered as predictor variables simultaneously.

Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7. Moreover, the operating cost was detailed in different cost items.Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9, indicated inWolf Loader Wl80 Radlader Without Cabin, and major extrapolation should be avoided.

High Quality Disodium Phosphate Sell by Factory$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.Factory Supply Disodium Phosphate Anhydrous Food Additive, 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%)Head Gasket . 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.Disodium Hydrogen Phosphate . Moreover,High Quality , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight, 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 (FDA Certification Recycled PE Carbon Black Color Masterbatch Supplier), maintenance (Topstar Looking for Regional Agency or Partner to Act Our Plastic Injection Molding Equipment), 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,Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser), and annual cost index of mineral processing equipment.Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit. Maximum MAER of 13.5% and minimum R²of 0.Seal Kits Komatsu PC200-5/6 Boom Cyl Kit-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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