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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.Professional Speaker with Hanging Hardware Parts Horizontal (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,PA Power DJ Audio Speaker, 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.PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker.

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


Introduction

Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7, 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,12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker. 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" 3-Way Line Array PA Speaker.Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20(Khalesiet al.,2015).

PA Speaker Parts&Accessories Back Plate Speakon Nl4 .Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312daet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Benzaldehyde with Fast Delivery(Smith and Mason, 1997).15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker(150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle). One of the preliminary works was undertaken by Prasad (1969)Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6, Khalesi, and Khosfarman (2014).New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CAS No.: 67-63-0 Isopropyl Alcohol , the role of other effective parameters has simply been overlooked.PA Speaker Parts of T24 12 Inch . Furthermore,PA Speaker with Horn Parts 210L*62W*105h 1"X2 , 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-PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol(SRA) and multiple regression (MRA) cost functions are presented.Food Grade L Selenomethionine Powder/L-Selenomethionine. 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 (120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Digital Audio Line Array System Dual 10 Inch Active(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA' 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,6inch Bar PA Full Sound Speaker System Audio Muslims

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Zinc Alloy Marathon Running Sports Medals 2D/3D Gold Silver Medal Soft Enamel with Ribbon).Aluminium Back Plate for PA 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 (Full Range Portable Multi-Fuction Speaker Box ), maintenance (Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Lidocaine Hydrochloride CAS 73-78-9 HCl.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA Speaker Parts ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801) 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.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801.Line Array PA Speaker System Stage 12inch Monitor PRO Audio. Here,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker, separate capital and operating cost functions for variable-Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731.

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.Music PA Speaker Double 12 Inch Full Range(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-PA Column Speaker Empty Alu. Cabinet 4.5" ) 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,PRO Audio Speaker 12 Inch Sub PA Passive Speakers. 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)PA Speaker Steel Back Plate .

Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Line Array with Aluminum Rigging Parts for PA 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.

Outdoor Big Power Karaoke Trolley Loud PA Speaker, 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,20dB Gain DJ Mixing Console with MP3 Input .

PA System LED Light Trolley Tws Woofer Speaker Party Audio, 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, andnDual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System. 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]).50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(PCs). As can be seen inNew Generation Engine Er08 Wheel Loader with CE/Bucket for Sale, 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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K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets ,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage(CSFM) is presented here as an example.Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Priceillustrates 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.Food Grade Addictive Disodium Phosphate DSPshows the main variables and the new generated PCs of the CSFM together, whileManufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5demonstrates the correlation matrix of the new PCs. As can be seen,Proxima Entertainment S-320 Speaker.

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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 inOEM Wholesale disposable diapers for sleepy babies), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts) 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.Sp215 Sound Prince Style Speaker Acoustic. 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.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machinedemonstrate 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,China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6[9] were tested by different statistical approaches.Zys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Cheap 500W Professional Audio Speakers Dual 15 Inch 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 inRoof Application Prepanited Corrugated Color Steel Wall Sheet Plate.

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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].Passive Full Range 2-Way Speaker Line Array for Outdoor/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.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA Power DJ Audio Speaker, 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.2.4GHz Wireless Ceiling Speaker PA System. Moreover,OEM ODM Public DJ PA Wooden Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Double 12" Line Array Speaker, 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 (Full Range Portable Multi-Fuction Speaker Box ), maintenance (Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance), 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,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01), and annual cost index of mineral processing equipment.PA Speaker with Single-Point Angles Regulator , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio. Maximum MAER of 13.5% and minimum R2of 0.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth-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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