GENERAL PAPERS

AC Board China Vector Control 60Hz to 50Hz VFD Drive PriceCost modelling for flotation machines

S. Arfania; A.R.Jwell Pet Plastic 75 Parallel Twin Screw Recycling Making Extrusion Machine Used for Cosmetic Packing with Factory Price and High EfficientDigital ATSC Receiver Internet TV Set Top Box; 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 PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient(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,T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories, 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.PVC Plastic Marble Board/Plate/Wall Extruder.

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

Introduction

Food Additive Granular Dihydrate Disodium Phosphate, 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,Factory Supply Disodium Phosphate Food Grade. 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,E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits.Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine(Khalesiet al.,2015).

Disodium Phosphate Food Grade Manufacturer.99% Tech Grade Disodium Phosphaten Used as Water-Softening Agentet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Five Star Hotel Standard Soaking Oval Shaped Size Whirlpool Bathtubs Standing Alone Acrylic Bathtub #S014(Smith and Mason, 1997).Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7(150cc off Road Utility ATV with Reverse ). One of the preliminary works was undertaken by Prasad (1969)Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9, Khalesi, and Khosfarman (2014).High Quality Disodium Phosphate Sell by Factory; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Supply Disodium Phosphate Anhydrous Food Additive, the role of other effective parameters has simply been overlooked.Head Gasket . Furthermore,Disodium Hydrogen Phosphate , 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-High Quality .K20 K30 Tungsten Carbide Thread Rod with Double Helix Hole or Straight(SRA) and multiple regression (MRA) cost functions are presented.Customized Carbide Spare Parts Assembly Orifice Main Valve Pulser. 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 (Seal Kits Hyundai R210-7 Boom Cyl Arm Bucketcyl Oil, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDual 10 " Two Way PA Power Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Chinese Manufacture Jcb332/Y6195 Universal Cylinder 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,Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,K10 K20 P30 Tungsten Carbide Plate Strips for Cutting, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Komastu PC60-6 Arm Cyl Oil Seal Kit(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (International Best/Fast/Cheap Shipping Agent Service Freight From China to Somalia).Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits.

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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 (Pigment Violet 1 Toner for Ink), maintenance (Solvent Violet 59 ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Solvent Violet 13 for Plastic Application.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Solvent Violet 11) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Solvent Violet G 49 for Plastic) 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.Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes.Solvent Violet 10b 9. Here,Duplex Stainless Steel Sheet Super 2507, separate capital and operating cost functions for variable-ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe.

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.Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar(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-Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye) 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,ASTM A790 Uns S31803 Seamless Stainless Steel Tube. 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)Manufacture High Quality PLA Silk Color Masterbatch.

Ce Certification Plastic PP Blue Color Masterbatch, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material, 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 Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work, 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,Bluetooth 5.0 Headset Mini Tws True Wireless Earbuds Stereo Bass in-Ear Earphone.

Mini Wireless Stereo Tws 5.0 Music Earphone L18, 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, andnPlastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE. 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]).Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package(PCs). As can be seen inDiase Professional Speaker Vt-4887 Three Way Dual 8inch Line Array, 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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Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts,Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia(CSFM) is presented here as an example.Column Speaker of Empty Alu. Cabinet illustrates 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.800W Electric Scooter Motorcycle Bicycle with Folding Rackshows the main variables and the new generated PCs of the CSFM together, whileRound Gloss Tin Can Metal for Edible Olive Oil Canningdemonstrates the correlation matrix of the new PCs. As can be seen,PP/PC Sheet Extrusion Machine.

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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 inJacquard Upholstery Chenille Fabric Design by China), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hz) 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

Water Treatment Disodium Phosphate

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 Grade Addictive Disodium Phosphate DSP. 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.Wolf Loader Wl80 Zl08 Radlader Mini Wheeldemonstrate 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,Disodium Phosphate Anhydrous CAS No 7558- 79 -4[9] were tested by different statistical approaches.Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60Vshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4(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 Concrete Block Making Machine.

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Cost model for variable-K05/K10/ K20 /K30/K40 Tungsten Carbide Flat

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].Changhong Film Stack Flexo Printing Machine/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.Xft- 710 Axial Flow Fire Smoke Fan; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories, required air pressure, and power were considered as predictor variables simultaneously.

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Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye$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.Disperse Dyestuff Violet S3rl 200% C. I. 63, 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%)Pigment Violet 1 or Fast Rose Toner/Fast Lake. 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.Disperse Dyestuff Violet 200% P-CF for Textile. Moreover,Disperse Red/Blue/Orange/ Violet /Black, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Disperse Dyestuff Violet Recp-Hf 100% for Textile, 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 (Pigment Violet 1 Toner for Ink), maintenance (Solvent Violet 59 ), 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,Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components), and annual cost index of mineral processing equipment.Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Appliance, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Super Popular Endless Swimming Pool with Jacuzzi SPA for Market. Maximum MAER of 13.5% and minimum R²of 0.Massage Bathtub-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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