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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

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.Food Grade L Selenomethionine Powder/L-Selenomethionine(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,120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 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.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA.

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


Introduction

Single 15 Inch PA Full Sound Systems Professional PRO 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,Cheap Price PA Speaker of Line Array Rigging 8 Inch . 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,Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729.PA Speaker Horn for Stage 180L*180W*106h 1" (Khalesiet al.,2015).

6inch Bar PA Full Sound Speaker System Audio Muslims.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Removable Material Warehouse Precision Electronic Weighing Scale with Manual Hand Telehandler(Smith and Mason, 1997).99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8(Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe ). One of the preliminary works was undertaken by Prasad (1969)Aluminium Back Plate for PA Speaker , Khalesi, and Khosfarman (2014).Full Range Portable Multi-Fuction Speaker Box ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance, the role of other effective parameters has simply been overlooked.Lidocaine Hydrochloride CAS 73-78-9 HCl. Furthermore,PA Speaker Parts , 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-Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(SRA) and multiple regression (MRA) cost functions are presented.Line Array PA Speaker System Stage 12inch Monitor PRO Audio. 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 (Wholesale Price Professional PA PRO Audio Sound System Loudspeaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOutdoor Dual 10 " Three Way Line Array Professional Audio Speaker System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731' 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 Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Line Array with Aluminum Rigging Parts for PA Speaker , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Outdoor Big Power Karaoke Trolley Loud PA Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Athen Jade Marble Slabs for Interior Flooring Wall Decoration).20dB Gain DJ Mixing Console with MP3 Input .

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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 (PA System LED Light Trolley Tws Woofer Speaker Party Audio), maintenance (Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets ) 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.12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage.Proxima Entertainment S-320 Speaker. Here,Karaoke Voice Reduction Professional Audio Converter Proaudio , separate capital and operating cost functions for variable-Sp215 Sound Prince Style Speaker Acoustic.

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.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6(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-Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker ) 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,Best Sale Bulk Price1. 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)Passive Full Range 2-Way Speaker Line Array for Outdoor.

Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Power Horn Speaker H3, 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.

Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box, 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,Levamisole Hydrochloride CAS 16595-80-5 in Stock.

Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, 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, andnWireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606. 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]).2.4GHz Wireless Ceiling Speaker PA System(PCs). As can be seen in4 Stringed Wrapped Electric Bass Guitar Strings, 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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Double 12" Line Array Speaker,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01(CSFM) is presented here as an example.Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Routerillustrates 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.Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Btshows the main variables and the new generated PCs of the CSFM together, whileColor Custom Direct Injection Diesel Engine Used for Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,PA Speaker with Single-Point Angles Regulator .

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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 inFashion Jewellery 925 Sterling Silver Jewelry White Gold Plated Huggies Earring with Zirconia), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can) 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.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth. 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.Jwell HDPE Waterproof Membrance Roll Extrusion Linedemonstrate 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,Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2[9] were tested by different statistical approaches.L10/83267-Professional Audio 10 Inch Coaxial Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%(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 inPromotion Men Perfumes Hot Selling Fragrance.

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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].Pharmaceutical Intermediate Bulk Price N- /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.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, required air pressure, and power were considered as predictor variables simultaneously.

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Speaker System High Power H3$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.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical, 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%)Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4. 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.500W Powered Speaker Professional Sound Line Array System . Moreover,Proxima Entertainment Z-450 Digtal Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500, 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 (PA System LED Light Trolley Tws Woofer Speaker Party Audio), maintenance (Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System), 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,Lat210A Srx700 Series PA Sound System Professional Speakers), and annual cost index of mineral processing equipment.Professional Public Address Mini Onwall Line Array Speaker , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Q1--Dual10 Inch Line Array Speaker. Maximum MAER of 13.5% and minimum R2of 0.12inches PA Speaker Audio Component-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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