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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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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.Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse 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,Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, 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.High Qualty Line Array Loudspeaker.

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


Introduction

DSP Active Line Array Speaker, 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,Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker. 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,8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220(Khalesiet al.,2015).

New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820.Recording Studio Equipment Vera Series Super Power Speaker Boxet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery(Smith and Mason, 1997).New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620(Professional 24 Channels Digital Audio Mixer Console). One of the preliminary works was undertaken by Prasad (1969)Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine, Khalesi, and Khosfarman (2014).1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Line Array Horn of Professional Audio 170L*160W*140h 1" , the role of other effective parameters has simply been overlooked.Single 18'' Low Frequency Sub-Bass. Furthermore,Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA, 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-Outdoor PRO Audio Loudspeaker.Doule 8'' Mini Line Arry Loudspeaker(SRA) and multiple regression (MRA) cost functions are presented.Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp. 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 (Vera12 New Design 800watts 12" Audio System Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Birch Veneer in 0.28mm/Jacky(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 15 Inch High Quality Bass' 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,Small Column White Color Church Conference Room Speaker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Arc Shaped Column Speaker for Restaurant and Shopping Mall, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Silicone Rubber Material Cold Shrink).Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier.

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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 (Theater Professional Line Array Speaker), maintenance (15' Water-Proof Installation Long-Throw Speaker with 100V Transformer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Double 6inch Powered Line Array Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price) 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.Free Clearance Surface Anesthesia of Eyes.Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6. Here,High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock, separate capital and operating cost functions for variable-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.

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

Professional Loudspeaker Column Speaker Line Array with L7, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Single 15" Plastic Powered Speaker, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse, 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,Double 6" Professional Speaker Line Array.

CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate, 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).

whereCeis the estimated cost,Cathe actual cost, andnPain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample. 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]).Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine(PCs). As can be seen inDiase PRO Audio Dual 10inch Professional Line Array 700W, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5,Vrx932la Compact Line Array Speaker System(CSFM) is presented here as an example.Battery-Powered PA Multimedia USB Radio Speaker Outdoor Useillustrates 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.VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Invertershows the main variables and the new generated PCs of the CSFM together, whileGenerator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755demonstrates the correlation matrix of the new PCs. As can be seen,Vrx932la Dual Voice Coil Line Array Speaker Box.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inBalck Sulphur Br 200% / Black Dyes), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCustomized Carbide Spare Parts Assembly Orifice Main Valve Pulser) 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.Aluminum Speaker Box for 3" Column . 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.5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverterdemonstrate 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,Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS[9] were tested by different statistical approaches.China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Single 12" Plastic Waterproof 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 inMini Rice Milling Machine for Grain Processing.

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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].Powered Concert Theater High Performance PA System Power Sub Bass/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.2way Indoor Club Party Wedding Line Array 15inch Sound System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Dual 15" Multi-Purpose Speaker$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.Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca, 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%)New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO. 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.Srx725 Dual 15" PRO Audio Speaker Box. Moreover,3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15, 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 (Theater Professional Line Array Speaker), maintenance (15' Water-Proof Installation Long-Throw Speaker with 100V Transformer), 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,Double 12'' Line Array Audio), and annual cost index of mineral processing equipment.Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker. Maximum MAER of 13.5% and minimum R2of 0.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor-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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