GENERAL PAPERS

Powder Metallurgy Hot Press Sintering FurnaceCost modelling for flotation machines

S. Arfania; A.R.Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9High Quality Electric Scooter Factory; 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.Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine(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,The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2, 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.Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock.

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

Introduction

67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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,2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds. 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,Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use.Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in866 5kw on Grid Solar System with Power Inverter for Home(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Home Theater PA PRO Audio Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ring Crush and Edge Testing Machine).PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer.

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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 (Professional Audio Kara Line Array), maintenance (Three-Way Large Touring Performance Line Array System PA Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System) 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.Best Quality Safe Delivery 1.Cheap Price Speaker Wall Mount Bracket . Here,Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8, separate capital and operating cost functions for variable-Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8.

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.Manufacturers Supply (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-High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride) 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,High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9. 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)Steel Wall Bracket for Speaker with Quick Release Pin .

Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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.

99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample, 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,Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8.

Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8, 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, andnTetracaine HCl CAS136-47-0. 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]).Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion(PCs). As can be seen in55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17, 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.Industry Saveing Box shows the main variables and the new generated PCs of the CSFM together, whileSingle Phase Input and Output 220V Able 640 Static Frequency Converter 400Hzdemonstrates the correlation matrix of the new PCs. As can be seen,Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20.

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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 inClassic Jewellery 925 Silver or Brass Fashion Small Huggie Earrings for Girls), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from10 Active Full Range Stage Sound Loud Speaker System Audio) 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.Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl. 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.Body Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Saledemonstrate 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,Professional Speaker with Hanging Hardware Parts Horizontal [9] were tested by different statistical approaches.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikesshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PA Power DJ Audio Speaker(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 inHoliday Light Colored G40 String.

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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].Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7/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.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2, required air pressure, and power were considered as predictor variables simultaneously.

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PA Speaker Parts&Accessories Back Plate Speakon Nl4 $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.Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, 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%)15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker. 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.Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6. Moreover,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CAS No.: 67-63-0 Isopropyl Alcohol , 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 (Professional Audio Kara Line Array), maintenance (Three-Way Large Touring Performance Line Array System PA Speaker), 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,PA Speaker Parts of T24 12 Inch ), and annual cost index of mineral processing equipment.PA Speaker with Horn Parts 210L*62W*105h 1"X2 , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array. Maximum MAER of 13.5% and minimum R²of 0.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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