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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 Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor(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,Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, 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.Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5.

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

Introduction

Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2, 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 Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9. 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,2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5.Professional Loudspeaker Line Array PRO Audio(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality with Good Price Oxytetracycline HCl Powder' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Top Quality Wheat Straw Toothbrush).Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker.

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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 (Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array), maintenance (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event) 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.High Power Two-Way Full Range PRO Audio Speaker Box System.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer. Here,30W Dante Wall Speaker with External 24V DC Power Supply Dp 430, separate capital and operating cost functions for variable-Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer.

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.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer(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-Rental Application Stage Monitor Audio&Sets) 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,Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2. 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)Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic.

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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.

Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK, 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,99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock.

Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2, 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, andnRimonabant Powder Weight Loss Factory Direct Supply. 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]).Top Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder(PCs). As can be seen in2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W, 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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Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3,PA Horn Loaded Speaker Professional Loudspeaker(CSFM) is presented here as an example.Plastic Purple Color Masterbatchillustrates 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.Niche Supply USP Grade Local Anesthetic Sensorcaine Powder Bupivacaine CAS: 14252-80-3shows the main variables and the new generated PCs of the CSFM together, whileSolar Pump Frequency Inverter MPPT Fuction 0.75kwdemonstrates the correlation matrix of the new PCs. As can be seen,Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club.

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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 inYishan 220HP hydraulic track type crawler dozer TY220C with 560/610mm shoes), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6) 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.GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping. 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.Benzene Soluble Polyamide Resin for Flexo Printing Inkdemonstrate 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,Top Quality Benzocaine / HCl CAS 23239-88-5[9] were tested by different statistical approaches.2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedalsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6(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 inCore Face Veneer Cutter.

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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].PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker./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.Mixer Power Amplifier with USB; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, required air pressure, and power were considered as predictor variables simultaneously.

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PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array$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.PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood, 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%)Karaoke Speaker System Chinese KTV High Output Compact Box. 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.Coaxial Speaker TD10. Moreover,Professional Sound System Effects for Equipment Hire , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use, 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 (Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array), maintenance (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer), 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,Outdoor Show Audio Lt12 Passive Line Array Speaker System), and annual cost index of mineral processing equipment.Karaoke Microphone Bluetooth Sound Mixer Video Conference, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Outdoor Speaker Professional Audio Factory. Maximum MAER of 13.5% and minimum R²of 0.Active Speaker with LED Display 15"500W Full Range Bluetooth H-15p-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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