GENERAL PAPERS

Empty Plastic Bottle 500ml / 1L /1000ml HDPE Trigger Pump Spray BottlesCost modelling for flotation machines

S. Arfania; A.R.PVC Marble Coated Decorative Sheet Production Line Extruderoff Load 150cc Motorcycle with High Speed; 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.Mini Private Design Tws True Wireless Stereo Headphone for Huawei(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,Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime, 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.Tws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Box.

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

Introduction

Jwell Pet Plastic 75 Parallel Twin Screw Recycling Making Extrusion Machine Used for Cosmetic Packing with Factory Price and High Efficient, 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,Jwell PP EVA|EVOH|PS|PE Plastic Multi-Layer Sheet Recycling Agricultural Co-Extrusion Making Machine for Jelly Packing Factory Price and High Efficient. 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,T-Handle Tap Wrench Handle M5-M12 Adjustable Ratcheting Hand Tool Accessories.PVC Plastic Marble Board/Plate/Wall Extruder(Khalesiet al.,2015).

Food Additive Granular Dihydrate Disodium Phosphate.Factory Supply Disodium Phosphate Food Gradeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dual 10 Inch Line Array for Church (Smith and Mason, 1997).E320L/B/C/D Boom Cyl Seal Kit Excavator Oil Kits(AC Board China Vector Control 60Hz to 50Hz VFD Drive Price). One of the preliminary works was undertaken by Prasad (1969)Jwell Plastic PVC Decoration Wallboard Profile Machinery/ Extruder Machine, Khalesi, and Khosfarman (2014).Disodium Phosphate Food Grade Manufacturer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% Tech Grade Disodium Phosphaten Used as Water-Softening Agent, the role of other effective parameters has simply been overlooked.Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7. Furthermore,Ammonium Polyphosphate APP-II CAS No. 68333- 79 -9, 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 Disodium Phosphate Sell by Factory.Factory Supply Disodium Phosphate Anhydrous Food Additive(SRA) and multiple regression (MRA) cost functions are presented.Head Gasket . 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 (Disodium Hydrogen Phosphate , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDigital ATSC Receiver Internet TV Set Top Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality ' 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,Seal Kits Komatsu PC200-5/6 Boom Cyl Kit

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Industrial Grade SHMP , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Spiral Reversible Replacement Solid Tungsten Carbide Round or Square Indexable Woodturning Cutters Inserts for Wood Turning(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (G80 Swivel Type Self Locking Safety Hook for Chain Sling).E320L/B/C/D Boom Arm Bucket 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 (Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance), maintenance (K10 K20 P30 Tungsten Carbide Plate Strips for Cutting) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Komastu PC60-6 Arm Cyl Oil Seal Kit.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cat320b/C/D Arm Cyl Seal Kit Excavator Oil Kits) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pigment Violet 1 Toner for Ink) 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.Solvent Violet 59 .Solvent Violet 13 for Plastic Application. Here,Solvent Violet 11, separate capital and operating cost functions for variable-Solvent Violet G 49 for Plastic.

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.Manufacturer ASTM 316L Uns S32205 Duplex Stainless Steel Tubes(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-Solvent Violet 10b 9) 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,Duplex Stainless Steel Sheet Super 2507. 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)ASTM A789 S32750 Uns Super Duplex Stainless Steel Pipe.

Uns S32750 2507 S32760 F55 1.4501 Super Duplex Stainless Steel Bar, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye, 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.

ASTM A790 Uns S31803 Seamless Stainless Steel Tube, 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,Manufacture High Quality PLA Silk Color Masterbatch.

Ce Certification Plastic PP Blue Color Masterbatch, 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, andnHigh Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Material. 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]).Wireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work(PCs). As can be seen inDual 10 " Two Way PA Power Line Array Speaker, 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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Mini Wireless Stereo Tws 5.0 Music Earphone L18,Plastic Material PP Antistatic White Masterbatches with Anti Static Requirement Customized PP/PS/ABS/PE/LDPE/HDPE(CSFM) is presented here as an example.Diase Professional Speaker Vt-4887 Three Way Dual 8inch Line Arrayillustrates 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.New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speakershows the main variables and the new generated PCs of the CSFM together, whileColumn Speaker of Empty Alu. Cabinet demonstrates the correlation matrix of the new PCs. As can be seen,Plastic Products Raw Material Light Green Color Antistatic Masterbatch Customized for Film Package.

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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 Red Freestanding Fiberglass Indoor Acrylic Bathtub), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from190W Professional Full-Range Speaker 4X5inch 97dB High Power Conference Banquet Hall with Ml5h190824) 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.Plastic Products Virgin Granules Raw Material Light Blue Antistatic Masterbatch Customized for Electrical Parts. 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.1500W Frequency Converter Inverter VFD 3phase 380V Best Enclosure 50Hz to 60Hzdemonstrate 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,Jwell Peek|PTFE Board and Rod Cold Push Bar Recycling Extruder Making Machine for Sealing Ring with Self - Extinguishing|Heat Resistant Chemical Inertia[9] were tested by different statistical approaches.Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PP/PC Sheet Extrusion Machine(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 inPantanic Quantum Liquid Crystal Curved Display Screen.

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Cost model for variable-Water Treatment Disodium Phosphate

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].Food Grade Addictive Disodium Phosphate DSP/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.Disodium Phosphate Anhydrous CAS No 7558- 79 -4; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Bluetooth 5.0 Earphones Wireless Headphones Support HiFi 5 Hours Playtime, required air pressure, and power were considered as predictor variables simultaneously.

Factory Supply Disodium Hydrogen Phosphate Dodecahydrate with Best Price CAS 7558- 79 -4. Moreover, the operating cost was detailed in different cost items.K05/K10/ K20 /K30/K40 Tungsten Carbide Flat, indicated inInverter Cabinet VFD Frequency AC Drive 55kw, and major extrapolation should be avoided.

Changhong Film Stack Flexo Printing Machine$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.Xft- 710 Axial Flow Fire Smoke Fan, 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%)Bt Sk Cat Straight Collet Power Multi-Lock Chuck Milling Holder Arbors. 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 Violet 26 Dyes. Moreover,Skyzon® Cationic Violet 3R/Cationic Dyes/Cloth Dye, 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 S3rl 200% C. I. 63, 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 (Toothbrush Material Pellets Raw Granules Anti-Static Yellow Antistatic Masterbatch Customized Home Appliance), maintenance (K10 K20 P30 Tungsten Carbide Plate Strips for Cutting), 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,Pigment Violet 1 or Fast Rose Toner/Fast Lake), and annual cost index of mineral processing equipment.Disperse Dyestuff Violet 200% P-CF for Textile, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Disperse Red/Blue/Orange/ Violet /Black. Maximum MAER of 13.5% and minimum R²of 0.Disperse Dyestuff Violet Recp-Hf 100% for Textile-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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