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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

Ce Approved Mini Loader with Road SweeperCost modelling for flotation machines

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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.PA Speaker Parts&Accessories Back Plate Speakon Nl4 (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,Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, 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 0.15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker.

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


Introduction

Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6, 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,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260. 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,CAS No.: 67-63-0 Isopropyl Alcohol .PA Speaker Parts of T24 12 Inch (Khalesiet al.,2015).

PA Speaker with Horn Parts 210L*62W*105h 1"X2 .PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Arrayet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Nordic Leather Sofa Modern Simple Three Seats(Smith and Mason, 1997).CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol(Industrial Mining All Welded Anti Explosion Pressure Transmitter). One of the preliminary works was undertaken by Prasad (1969)Food Grade L Selenomethionine Powder/L-Selenomethionine, Khalesi, and Khosfarman (2014).120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA, the role of other effective parameters has simply been overlooked.Single 15 Inch PA Full Sound Systems Professional PRO Speaker. Furthermore,Cheap Price PA Speaker of Line Array Rigging 8 Inch , 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 Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729.PA Speaker Horn for Stage 180L*180W*106h 1" (SRA) and multiple regression (MRA) cost functions are presented.6inch Bar PA Full Sound Speaker System Audio Muslims. 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 (China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in900watt Amplifier Moudel Borad Chinese Class -D(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8' 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,PA Speaker Parts

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Indoor / Outdoor Rental Full Color LED Stage Lighting Display Screen).Line Array PA Speaker System Stage 12inch Monitor PRO Audio.

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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 (Wholesale Price Professional PA PRO Audio Sound System Loudspeaker), maintenance (Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Music PA Speaker Double 12 Inch Full Range.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA Column Speaker Empty Alu. Cabinet 4.5" ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (PRO Audio Speaker 12 Inch Sub PA Passive Speakers) 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.PA Speaker Steel Back Plate .Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12. Here,Line Array with Aluminum Rigging Parts for PA Speaker , separate capital and operating cost functions for variable-Outdoor Big Power Karaoke Trolley Loud PA Speaker.

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.20dB Gain DJ Mixing Console with MP3 Input (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 System LED Light Trolley Tws Woofer Speaker Party Audio) 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,Dual 12 Inch Fiver Drivers Passive/Active Line Array 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)50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.

High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , 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.

12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage, 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,Proxima Entertainment S-320 Speaker.

Karaoke Voice Reduction Professional Audio Converter Proaudio , 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, andnSp215 Sound Prince Style Speaker Acoustic. 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]).China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6(PCs). As can be seen inHigh Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire, 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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Best Sale Bulk Price1,Passive Full Range 2-Way Speaker Line Array for Outdoor(CSFM) is presented here as an example.Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe illustrates 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.Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker Systemshows the main variables and the new generated PCs of the CSFM together, while5f-Pcn CAS No. 1445579- 79 -2 in Stockdemonstrates the correlation matrix of the new PCs. As can be seen,Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.

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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 inFabric and plastic awning with prints beautiful design children's umbrella), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router) 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.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box. 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.Color Custom Direct Injection Diesel Engine Used for Generator Setdemonstrate 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,Levamisole Hydrochloride CAS 16595-80-5 in Stock[9] were tested by different statistical approaches.Newest 250cc Farm UTV 200cc Go Kart Buggy with Ceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4(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 inWomen's Fuzzy Knitted Sweater Crew-Neck Long Sleeve Side Split Loose Casual Knit Pullover Blouse.

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Cost model for variable-Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606

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].2.4GHz Wireless Ceiling Speaker PA System/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.OEM ODM Public DJ PA Wooden Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, required air pressure, and power were considered as predictor variables simultaneously.

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PA Speaker with Single-Point Angles Regulator $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 0.12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio, 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%)Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth. 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.Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2. Moreover,CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price, 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 (Wholesale Price Professional PA PRO Audio Sound System Loudspeaker), maintenance (Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731), 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,Pharmaceutical Intermediate Bulk Price N- ), and annual cost index of mineral processing equipment.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand. Maximum MAER of 13.5% and minimum R2of 0.Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Jarol Frequency Inverter JAC200 3 Phase 380V 4kwPA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line ArrayCorresponding author

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