GENERAL PAPERS

Alloy Inconel 625 Nickel Strip Cost modelling for flotation machines

S. Arfania; A.R.Diesel Engine Parts Fuel Injection Nozzle Dlla155p274Wilson Parts Eim Module Engine Interface Control 258 -9753; 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.Diesel Engine Parts Fuel Injection Nozzle Dlla153p049(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,Diesel Engine Parts Fuel Injection Nozzle Dlla155p273, 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.Diesel Engine Parts Fuel Injection Nozzle Dlla154p332.

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

Introduction

Diesel Engine Parts Fuel Injection Nozzle Dlla154pn006, 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,High Quality Nickel Alloy Monel 400 . 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,Tsp Trisodium Phosphate/ CAS No.: 7758- 79 -4/Anhydrous/Na3po4.Disperse Violet 63(Khalesiet al.,2015).

Skycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester.Disperse Red 11 or Brill Pink 4bnet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Audio High Powerful Ka Dual 10inch DSP Active Line Array Speaker(Smith and Mason, 1997).94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4(Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock). One of the preliminary works was undertaken by Prasad (1969)Skycron® Disperse Violet 63/RL 200% Color Dye For Clothes, Khalesi, and Khosfarman (2014).Flame Retardant Ammonium Polyphosphate ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pigment Violet 23 Liquid, the role of other effective parameters has simply been overlooked.Asapp-II Ammonium Polyphosphate for Intumescent Paints . Furthermore,Water Treatment Softener Dibasic Sodium Phosphate 97% Powder CAS No.: 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-Indissolvable Ammonium Polyphosphate CAS No. 68333- 79 -9.Sodium Phosphate Dibasic CAS No 7558- 79 -4(SRA) and multiple regression (MRA) cost functions are presented.Detergent Grade Sodium Tripolyphosphate 94% CAS No: 7758- 79 -4. 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 (Boring Machine Tools Micro Head F1type CNC Heads Set, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling' 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,Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,UNS NO2200 Nickel Plate, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Indoor Fine Pitch HD P2.5 SMD LED Display Video Screen).Diesel Engine Parts Fuel Injection Nozzle Dlla148p591.

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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 (Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling), maintenance (Diesel Fuel Injection Nozzle Dlla160pn141) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Diesel Engine Parts Fuel System SD265 Nozzle) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada) 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.Vat Violet 13.Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies. Here,Solvent Violet 9 , separate capital and operating cost functions for variable-CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder.

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.Inconel X-750 Forged/Forging Round Bars (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 Price Hot Selling Massage Swimming Pool SPA) 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,Laswim Swim SPA Endless Swimming Pool Whirlpool Bathtub. 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- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration.

HDPE Plastic Geomembrane Sheet Making Extrusion Machine, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Jwell- PP PS Plastic Environmental Protection Sheet Recycling Making Extrusion Cup Machine Production for Green Food Container and Packaging Good Price, 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.

Uns No6600 Inconel600 Steel Plate, 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,Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276..

Alloy Inconel 625 Nickel Strip , 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 148pn306. 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]).Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320(PCs). As can be seen inE0 Glue1250*2500mm Wenge Engineer Veneer for Decoration, 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.High Quality Motorcycle Parts Cam shows the main variables and the new generated PCs of the CSFM together, whileCCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devicesdemonstrates the correlation matrix of the new PCs. As can be seen,Virgin PA12 Resin GF20 GF30 Pellets.

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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 inFlat Webbing Sling From 1-10 T of Manufacturing Price), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains) 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.Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8. 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.Motorcycle Spare Part Starter Relay for Gy6 -80/Viva R 115ccdemonstrate 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,Trimethyl Cis[9] were tested by different statistical approaches.Mc4 Connector Combiner Box with 600V MCB for off Grid Solar Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fast Delivery High Purity Benzaldehyde 100-52-7(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 in450kVA/360kw Power Generator Set Industry Use Diesel Engine Genset.

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Cost model for variable-Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223

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].Swimming SPA Pool Hot Tub Combo/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.Zhejiang Province Acrylic Standing Alone Bathtubs; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Diesel Engine Parts Fuel Injection Nozzle Dlla155p273, required air pressure, and power were considered as predictor variables simultaneously.

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Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar$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.Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712, 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%)Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly. 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  PP Corrugated Roof Sheet Extrusion Machine. Moreover,Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines, 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 (Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling), maintenance (Diesel Fuel Injection Nozzle Dlla160pn141), 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,Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect), and annual cost index of mineral processing equipment.Alcohol Benzene Polyamide Ink Resin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line. Maximum MAER of 13.5% and minimum R²of 0.Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect-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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