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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.Double 12inch Active Coaxial 29kg Line Array Speaker System(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,Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor, 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.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant.

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


Introduction

Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, 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,Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2. 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,High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9.2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5(Khalesiet al.,2015).

Professional Loudspeaker Line Array PRO Audio.Live Music Sound Line Array System for Acoustic and Electronic Performanceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15(Smith and Mason, 1997).PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use(High Purity 99.0%Min. Ademetionine Disulfate Tosylate ). One of the preliminary works was undertaken by Prasad (1969)900watt Amplifier Moudel Borad Chinese Class -D, Khalesi, and Khosfarman (2014).Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release, the role of other effective parameters has simply been overlooked.Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3. Furthermore,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder, 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-Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8.Gamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price(SRA) and multiple regression (MRA) cost functions are presented.Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery. 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 (Hot Sale Professional Loudspeaker PRO Audio , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8' 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,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Q1+Q Sub Sound & Light Installation High Performance in Concert Event(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Round Panel Lighting Embedded LED Downlight 7W/ 8W 4" 3000K Warm White).Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array 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 (Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker), maintenance (Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box) 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.Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event.High Power Two-Way Full Range PRO Audio Speaker Box System. Here,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, separate capital and operating cost functions for variable-30W Dante Wall Speaker with External 24V DC Power Supply Dp 430.

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.Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer(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 Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer) 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,Rental Application Stage Monitor Audio&Sets. 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)Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2.

Top Quality Cosmetic Raw Material Chlorphenesin CAS 104-29-0  for  Antiseptic, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (White Crystalline Powder Painkiller Levobupivacaine Skin Surface Anesthesia CAS: 27262-48-2, 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.

Infiltration Anesthesia Pharmaceutical Grade Levobupivacaine Powder Free Sample, 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,Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK.

99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock, 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, andnFood Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2. 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]).Rimonabant Powder Weight Loss Factory Direct Supply(PCs). As can be seen inPipo X8 Mini PC Smart TV Box, 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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High Quality Procainamide Hydrochloride 614-39-1,Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3(CSFM) is presented here as an example.Manufacture High Quality PLA Silk Color Masterbatchillustrates 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.Manufacturers Supply shows the main variables and the new generated PCs of the CSFM together, whileTws 5.0 Wireless Headphone with ND1526p Dual Call 600mAh Charging Boxdemonstrates the correlation matrix of the new PCs. As can be seen,PA Horn Loaded Speaker Professional Loudspeaker.

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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 inHigh Brightness 30LEDs /M Flexible SMD5630/5730 LED Strip Light with IEC/En62471), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromOutdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty) 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.Professional Audio Powerful High Compact Line Array Speaker Best Lq10. 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.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12demonstrate 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,GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping[9] were tested by different statistical approaches.Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Top Quality Benzocaine / HCl CAS 23239-88-5(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 inGeneration Solar Monitor with MPPT Charge Controller.

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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].Guaranteed 99% Sarms Steroids Supplements Mk-677 UK Shipping Free/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.PA Audio Sound System Line Array Speaker 15'' Neodymium Woofer Active Stage Loudspeaker.; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor, required air pressure, and power were considered as predictor variables simultaneously.

Mixer Power Amplifier with USB. Moreover, the operating cost was detailed in different cost items.Powered Line Array Active Stage Speaker, indicated inAlcohol Solvent Polyamide Resin for Gravure Plastic Ink, and major extrapolation should be avoided.

PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Array$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.PRO Audio Loudspeaker PA Speaker System 12&Rdquor & 15&Rdquor Line Array, 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%)PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood. 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.Karaoke Speaker System Chinese KTV High Output Compact Box. Moreover,Coaxial Speaker TD10, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Sound System Effects for Equipment Hire , 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 (Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker), maintenance (Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array), 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,PA System 30W Waterproof Plastic Driver Unit for Horn Speaker with Stainless Steel Screw Outdoor Use), and annual cost index of mineral processing equipment.Outdoor Show Audio Lt12 Passive Line Array Speaker System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Karaoke Microphone Bluetooth Sound Mixer Video Conference. Maximum MAER of 13.5% and minimum R2of 0.Outdoor Speaker Professional Audio Factory-feasibility and even feasibility study level of projects.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Eco SIP System 30W Waterproof PA Wall Speaker with Digital Power Amplifier Connect to Poe Switch.Hot Selling High Quality CAS. 56-95-1 Chlorhexidine Acetate.Brazilian Spanish Market 99%Pure Lidocaine HCl Drugs USP36, Montreal. 319 pp.         [Textile Crane Centrifugal 380V Variable Frequency Drive VFD]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Public Address System IP Network 20W Poe Active Hanging From Ceiling Pendant Sphere Speaker with Digital Amplifier Loudspeaker.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [High Quality Ammonium Dibutyl Dithiophosphate 95%]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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