GENERAL PAPERS

Breaker LockCost modelling for flotation machines

S. Arfania; A.R.Double 6inch Powered Line Array Speaker1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery; 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.Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price(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,Free Clearance Surface Anesthesia of Eyes, 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.Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6.

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

Introduction

High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock, 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,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. 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,Vrx932 Horn Line Array Professional Manufacturer.Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819(Khalesiet al.,2015).

Srx715 Single 15" Speaker Cabinet PRO Audio System.Vera 12 Loudspeaker Line Array Speaker Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ce Certification Plastic PP Blue Color Masterbatch(Smith and Mason, 1997).Professional Loudspeaker Column Speaker Line Array with L7(New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini). One of the preliminary works was undertaken by Prasad (1969)Single 15" Plastic Powered Speaker, Khalesi, and Khosfarman (2014).Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Double 6" Professional Speaker Line Array, the role of other effective parameters has simply been overlooked.CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate. Furthermore,Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample, 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-Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine.Best Quality Valerophenone CAS 1009-14-9 Ukraine(SRA) and multiple regression (MRA) cost functions are presented.Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5. 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 (Vrx932la Compact Line Array Speaker System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Vrx932la Dual Voice Coil Line Array Speaker Box' 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,800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Powered Concert Theater High Performance PA System Power Sub Bass, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2way Indoor Club Party Wedding Line Array 15inch Sound System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Care product ultra-thin pants style disposable baby training diaper).12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS.

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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 Active Powered Line Array Speaker Mini 5 Inch Audio), maintenance (Professional Dual 15" Multi-Purpose Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Srx725 Dual 15" PRO Audio Speaker Box) 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.3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36.Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15. Here,Double 12'' Line Array Audio, separate capital and operating cost functions for variable-Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12.

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.DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker(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-15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor) 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,USP Level Isopropyl Alcohol 99.9%. 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)Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System.

Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Top Quality and Best Price for Isopropyl Alcohol 99.9%, 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.

Bp Grade Benzyl Benzoate 99% Min, 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,Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping.

White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic, 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, andnMule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2. 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]).High Purity Ethylamine HCl(PCs). As can be seen inFactory Supply Ethyl Valerate CAS 539-82-2, 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 Cabinet Accessories ,Professional Audio Loudspeaker PA Stage Active Line Array(CSFM) is presented here as an example.Hot Smart Electric Scooter 60V800W Power Motor with USBillustrates 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.Pyridinecas Number 110//86//1 Used as Chemical Reagentshows the main variables and the new generated PCs of the CSFM together, whileWolf Shovel Loader E5 for Agriculture Workdemonstrates the correlation matrix of the new PCs. As can be seen,PA Speaker Accessories and Parts .

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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 in1.5mm IXPE Backing Click Lock Gray Ash Wood Grain Spc Floor Vinyl Flooring), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromThe Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory) 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.New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci. 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.Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileirodemonstrate 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 Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA[9] were tested by different statistical approaches.Made in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Power Column Speaker PA System(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 in97 LEDs Solar Wall Lights LED Path Light Outdoor Garden Yard Fence Lamp.

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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].Single 18'' High Power Speaker Subwoofer/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.Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Free Clearance Surface Anesthesia of Eyes, required air pressure, and power were considered as predictor variables simultaneously.

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Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine$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.The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2, 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%)Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock. 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.67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. Moreover,2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Battery-Powered PA Multimedia USB Radio Speaker 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 (Professional Active Powered Line Array Speaker Mini 5 Inch Audio), maintenance (Professional Dual 15" Multi-Purpose 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,Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale), and annual cost index of mineral processing equipment.Active Compact Column PA Speaker Powered Loudspeaker Point Source, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,PA Speaker Sound System Dual 8'' Two-Way Line Array. Maximum MAER of 13.5% and minimum R²of 0.Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control-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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