GENERAL PAPERS

Grid Tied Wind Solar Power SystemCost modelling for flotation machines

S. Arfania; A.R.Boring Machine Tools Micro Head F1type CNC Heads SetBlack Valve Universal Programmable OE Replacement TPMS Sensor; 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.Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling(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 Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine, 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 0.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4.

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

Introduction

Supply Ammonium Polyphosphate APP , 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,Sdc Shrink Collet Chuck Toolholders for CNC Machine Part. 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,Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar.UNS NO2200 Nickel Plate(Khalesiet al.,2015).

Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling.Diesel Engine Parts Fuel Injection Nozzle Dlla148p591et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale(Smith and Mason, 1997).Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling(R-3-Amino-1-N-Boc-Piperidine). One of the preliminary works was undertaken by Prasad (1969)Diesel Fuel Injection Nozzle Dlla160pn141, Khalesi, and Khosfarman (2014).Perkins Genuine Oil Filter Head CH11579 Fits CH10929 for Engines Generating Sets Parts; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Diesel Engine Parts Fuel System SD265 Nozzle, the role of other effective parameters has simply been overlooked.Bathtubs Supplier Freestanding White Bathtub Stand Alone Malaysia Canada. Furthermore,Vat Violet 13, 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-Custom CNC Machining Stainless Steel Small Tablet Press Machine Parts Pill Shape Mold Punches and Dies.Solvent Violet 9 (SRA) and multiple regression (MRA) cost functions are presented.CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder. 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 (Inconel X-750 Forged/Forging Round Bars , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10 -50W 6.5 Inch PA Sound Ceiling Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Price Hot Selling Massage Swimming Pool SPA' 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,Uns No6600 Inconel600 Steel Plate

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Alloy C276 Hastelloy Nickel Pipe ASTM B622 ASME Sb622 Uns N10276., blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Alloy Inconel 625 Nickel Strip (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Frozen Diced Purple Sweet Potato).Diesel Engine Parts Fuel Injection Nozzle 148pn306.

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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 (Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320), maintenance (Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Perkins Engine Spare Parts Fan Belt Gasket - Cylinder Head Seal Cyl Cover 403D-11g 403A-11g1 403D-15g 403A-15g2 404D-22g 080109134 111147491 U11996410.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Zys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Virgin PA12 Resin GF20 GF30 Pellets) 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.PA410 Resin Q-Hgm24 10 -20% Glass Mineral Filled Heat Stabilized.Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8. Here,Trimethyl Cis, separate capital and operating cost functions for variable-Fast Delivery High Purity Benzaldehyde 100-52-7.

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.Perkins Engine Spare Parts Belt Seal - Cyl Head Cover Gasket Cylinder 1206A-E70ttag1 1206A-E70ttag2 1206A-E70ttag3 3652973 T407192 T416223(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-Swimming SPA Pool Hot Tub Combo) 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,Zhejiang Province Acrylic Standing Alone Bathtubs. 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)Rofessional 21 Speed Mountain Bicycle 26 Inch New MTB.

Perkins Genuine Cyl Head Assy , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Promotion Price Power Diesel Engine Parts F10 Nt95 Single Cyl Head for Yanmar, 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.

Chinese Heavy Truck Diesel Engine Pump Cylinder 161500137712, 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,Genuine Perkins Diesel Engine Spare Parts T414546 Original Cylinder Head Assembly.

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whereC_eis the estimated cost,C_athe actual cost, andnJwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine. 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]).Perkins Genuine Cyl Cylinder Head Cover Assy 4142X402 for Industrial Diesel Engines(PCs). As can be seen inPeq-18SD1 18'' Bass Reflex Active Powerful Subwoofer, 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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Alcohol Benzene Polyamide Ink Resin,High Bonding Polyamide Textile Fabric Hot Melt Adhesive Film Making/Extruding/Prodcution/Manufacturing Machine Line(CSFM) is presented here as an example.Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certificationillustrates 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.Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4shows the main variables and the new generated PCs of the CSFM together, whileRound Tin Can for Food Packaging Empty Tinplatedemonstrates the correlation matrix of the new PCs. As can be seen,Cosmetic Pearlescent Pigments Chameleon Color Travel T9315n Multicolor Interference Effect.

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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 inBest Emergency Outdoor Gear Survival Camouflage Molle Military Tactical Backpack), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromLidocaine Hydrochloride CAS 73-78-9 HCl) 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.Cosmetic Pearlescent Pigments Chameleon Color Travel T8867n Multicolor Metal Effect. 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.White Crystal or Powder Xylazine Xylazin CAS 7361-61-7 for Animaldemonstrate 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,Single Direction Thrust Ball Bearing 510/630 591/630 511/630 691/670 511/670 510/ 710 591/ 511/ 510/750 591/750 511/750 M F[9] were tested by different statistical approaches.High Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolicshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cosmetic Pearlescent Pigments Chameleon Color Travel T8207n Multicolor Metal Effect Gold Green Blue(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 inKN95 Face Mask/N95 Mask/FFP1/FFP2/FFP3 Quality Inspection Qualified.

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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].Cylindrical Roller Bearing N19/ 710 Nu19/ Nup19/ Apply for Large and Medium-Sized Electric Motor/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.Polyamide Resin Hot Melt Adhesive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Precision Milling Bt30 Tool Holder Collet Chuck for Lathe Machine, required air pressure, and power were considered as predictor variables simultaneously.

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Alcohol Polyamide Resin for Printing Ink$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.Popular Alcohol Soluble Polyamide Resin for Gravure Ink, 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%)Polyamide Resin with Benzene Soluble for Printing Inks. 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.Alcohol Soluble Polyamide Resin for Printing Ink. Moreover,Supply Rosin Modified Polyamide Resin for Paint, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Farwell P-Hydroxy Benzaldehyde with High Purity 99.5%, 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 (Wholesale High Performance Cylindrical Roller Bearings Nu19/670 Nu19/ 710 N19/ Nup19/ Nu19/750 Nu19/1060 Nu19/1250 Nu19/1320), maintenance (Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto), 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,High Quality Benzaldehyde with Fast Delivery), and annual cost index of mineral processing equipment.Supply Alcohol Soluble Polyamide Resin for Ink, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,CAS No. 151103-09-2 4- . Maximum MAER of 13.5% and minimum R²of 0.Sophisticated Price of Polyamide Resin for Whosale-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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