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.Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6(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 Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock, 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.CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Dehydrating Agent and Cleaning in Pharmaceuticals/Cosmetics/Plastics.

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

Introduction

Vrx932 Horn Line Array Professional Manufacturer, 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 Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819. 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,Srx715 Single 15" Speaker Cabinet PRO Audio System.Vera 12 Loudspeaker Line Array Speaker System(Khalesiet al.,2015).

Professional Loudspeaker Column Speaker Line Array with L7.Single 15" Plastic Powered Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ignition Coil for Buick Chevrolet Cadillac Isuzu Opel Pontiac 10482928(Smith and Mason, 1997).Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse(350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive). One of the preliminary works was undertaken by Prasad (1969)Double 6" Professional Speaker Line Array, Khalesi, and Khosfarman (2014).CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample, the role of other effective parameters has simply been overlooked.Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine. Furthermore,Best Quality Valerophenone CAS 1009-14-9 Ukraine, 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-Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5.Vrx932la Compact Line Array Speaker System(SRA) and multiple regression (MRA) cost functions are presented.Vrx932la Dual Voice Coil Line Array Speaker Box. 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 (Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFree Sample Color Masterbatch ABS PE Non Toxic for Injection Molding(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Aluminum Speaker Box for 3" Column ' 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,2way Indoor Club Party Wedding Line Array 15inch Sound System

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Active Powered Line Array Speaker Mini 5 Inch Audio(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Nail Supplies UV Gel Polish).Professional Dual 15" Multi-Purpose 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 (Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca), maintenance (New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Srx725 Dual 15" PRO Audio Speaker Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15) 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.Double 12'' Line Array Audio.Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12. Here,DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker, separate capital and operating cost functions for variable-15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor.

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.USP Level Isopropyl Alcohol 99.9%(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-Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System) 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,Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4. 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 and Best Price for Isopropyl Alcohol 99.9%.

Bp Grade Benzyl Benzoate 99% Min, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping, 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.

White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic, 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,Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2.

High Purity Ethylamine HCl, 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, andnSteel Circle for PA Speaker Parts 16*3h . 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]).PA Speaker Cabinet Accessories (PCs). As can be seen inESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing, 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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PA Speaker Accessories and Parts ,PA System with Rigging Shackle Hardware Parts M25 (CSFM) is presented here as an example.Pyridinecas Number 110//86//1 Used as Chemical Reagentillustrates 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.Wolf Shovel Loader E5 for Agriculture Workshows the main variables and the new generated PCs of the CSFM together, whileSolar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500Wdemonstrates the correlation matrix of the new PCs. As can be seen,New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci.

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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 inPet Bottles 50ml Amber Green Pink Plastic Bottle with Aluminum Screw Caps), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Polyamide Resin) 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.Power Column Speaker PA System. 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.Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industrydemonstrate 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,Speaker Wall Mounting Bracket [9] were tested by different statistical approaches.Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Single 18'' High Power Speaker Subwoofer(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 inThe Most Fashionable Men's Sweater.

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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].99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl/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.Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock, required air pressure, and power were considered as predictor variables simultaneously.

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Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock$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 0.67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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%)2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds. 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.Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use. Moreover,Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Active Compact Column PA Speaker Powered Loudspeaker Point Source, 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 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca), maintenance (New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO), 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 Sound System Dual 8'' Two-Way Line Array), and annual cost index of mineral processing equipment.Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments. Maximum MAER of 13.5% and minimum R²of 0.PRO Audio with Tweeter Horn for Line Array -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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