GENERAL PAPERS

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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.Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca(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,New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO, 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.Srx725 Dual 15" PRO Audio Speaker Box.

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

Introduction

3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36, 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,Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15. 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,Double 12'' Line Array Audio.Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12(Khalesiet al.,2015).

DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdooret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 100% Copper Wire St-1kw Single Phase Dynamo Factory Price(Smith and Mason, 1997).USP Level Isopropyl Alcohol 99.9%(High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric). One of the preliminary works was undertaken by Prasad (1969)Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System, Khalesi, and Khosfarman (2014).Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Top Quality and Best Price for Isopropyl Alcohol 99.9%, the role of other effective parameters has simply been overlooked.Bp Grade Benzyl Benzoate 99% Min. Furthermore,Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping, 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-White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic.Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2(SRA) and multiple regression (MRA) cost functions are presented.High Purity Ethylamine HCl. 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 (Steel Circle for PA Speaker Parts 16*3h , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAC Variable Vector Frequency Inverter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PA Speaker Cabinet Accessories ' 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,Professional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Power Column Speaker PA System, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Speaker Wall Mounting Bracket (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Holiday Light Decoration Christmas Laser Projector with Remote Control).Single 18'' High Power Speaker 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 (Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802), maintenance (99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2) 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.Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock.67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. Here,2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds, separate capital and operating cost functions for variable-Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use.

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.Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale(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-Active Compact Column PA Speaker Powered Loudspeaker Point Source) 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,PA Speaker Sound System Dual 8'' Two-Way Line Array. 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)Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control.

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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.

Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5, 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,Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder.

GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2, 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, andnProfessional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker. 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]).Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0(PCs). As can be seen inAllsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House, 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.9mm E1 Glue Bintangor Plywood Boardshows the main variables and the new generated PCs of the CSFM together, whileGood Packed Bottle PE Film Shrink Wrapping Machine Chinademonstrates the correlation matrix of the new PCs. As can be seen,Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5.

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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 inHot Selling Softcare Baby Disposable Diaper Manufacturers), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from150cc ATV for Adults Lmatv-150hm) 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.High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales. 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.Cafe Bar Table Wrought Iron Home Living Room Diningdemonstrate 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,New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi[9] were tested by different statistical approaches.High Purity Retinol Palmitate Powdershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci(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 inProtective Surgical Medical Face Mask Doctor Prime Choice Type Iir Particulate Respirator.

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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].Home Theater PA PRO Audio Speaker/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.PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO, required air pressure, and power were considered as predictor variables simultaneously.

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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.Best Quality Safe Delivery 1. Moreover,Cheap Price Speaker Wall Mount Bracket , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8, 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 (Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802), maintenance (99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl), 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,Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8), and annual cost index of mineral processing equipment.Manufacturers Supply , and over- extrapolation could result in misguiding estimates.

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References

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.8X4" Active Column PA Speaker.Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl.Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, Montreal. 319 pp.         [High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper]

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PRO Audio with Tweeter Horn for Line Array , Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [2021 Fast Build Prefabricated Steel Structure Construction Building Warehouse]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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