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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

5f-Pcn CAS No. 1445579- 79 -2 in StockCost modelling for flotation machines

S. Arfania; A.R.6inch Bar PA Full Sound Speaker System Audio Muslims4 Stringed Wrapped Electric Bass Guitar Strings; 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.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8(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,99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8, 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.Aluminium Back Plate for PA Speaker .

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


Introduction

Full Range Portable Multi-Fuction Speaker Box , 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,Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance. 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,Lidocaine Hydrochloride CAS 73-78-9 HCl.PA Speaker Parts (Khalesiet al.,2015).

Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Efficiency SIM Card Fiber Laser Marking Machine(Smith and Mason, 1997).Line Array PA Speaker System Stage 12inch Monitor PRO Audio(Compact Mini Farm Loader 800kg Wheel for Sale). One of the preliminary works was undertaken by Prasad (1969)Wholesale Price Professional PA PRO Audio Sound System Loudspeaker, Khalesi, and Khosfarman (2014).Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Music PA Speaker Double 12 Inch Full Range, the role of other effective parameters has simply been overlooked.PA Column Speaker Empty Alu. Cabinet 4.5" . Furthermore,PRO Audio Speaker 12 Inch Sub PA Passive Speakers, 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 Steel Back Plate .Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12(SRA) and multiple regression (MRA) cost functions are presented.Line Array with Aluminum Rigging Parts for PA Speaker . 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 (Outdoor Big Power Karaoke Trolley Loud PA Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;20dB Gain DJ Mixing Console with MP3 Input ' 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,K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Proxima Entertainment S-320 Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Bulldozer Manufacturer Shantui Newpower Dozer for Wetlands).Karaoke Voice Reduction Professional Audio Converter Proaudio .

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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 (Sp215 Sound Prince Style Speaker Acoustic), maintenance (China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Sale Bulk Price1) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Passive Full Range 2-Way Speaker Line Array for Outdoor) 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 Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.High Power Horn Speaker H3. Here,Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box, separate capital and operating cost functions for variable-Levamisole Hydrochloride CAS 16595-80-5 in Stock.

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.Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4(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-Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606) 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,2.4GHz Wireless Ceiling Speaker PA 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)OEM ODM Public DJ PA Wooden Speaker.

Double 12" Line Array Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, 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.

PA Speaker with Single-Point Angles Regulator , 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,12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio.

Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, 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, andnMexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2. 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]).CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%(PCs). As can be seen inColor Custom Direct Injection Diesel Engine Used for Generator Set, 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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Pharmaceutical Intermediate Bulk Price N- ,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply(CSFM) is presented here as an example.Cosmetic Grade L-Arginine with High Qualityillustrates 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.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Canshows the main variables and the new generated PCs of the CSFM together, whileWin10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiverdemonstrates the correlation matrix of the new PCs. As can be seen,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand.

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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 inCustomized High Quality CNC Machining Maufacturer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control) 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.Speaker System High Power H3. 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.Speaker PS10demonstrate 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,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical[9] were tested by different statistical approaches.Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4(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 inLovely Q Cartoon Character Anime Action Figures.

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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].Proxima Entertainment Z-450 Digtal Speaker/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.Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8, required air pressure, and power were considered as predictor variables simultaneously.

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Q1--Dual10 Inch Line Array 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 0.12inches PA Speaker Audio Component, 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-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable 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.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA. Moreover,Power Amplifiers PA Speaker System Amplifier 1000 Watt, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wholesales Organic Intermediate 1, 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 (Sp215 Sound Prince Style Speaker Acoustic), maintenance (China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6), 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,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell), and annual cost index of mineral processing equipment.Live/Installed Sound System PRO Speaker Box , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA. Maximum MAER of 13.5% and minimum R2of 0.Professional Speaker with Laser Light -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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