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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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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.Kas DJ Speaker Dual Line Array 18 Inch Subwoofer(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,Mini Speaker Line Array Wedding Decoraions DJ Mixer, 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 0.8 Ohm PRO Audio DJ Mixer Live Sound System.

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


Introduction

Professional Stage Line Array System Dual 15'' Self-Powered 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,High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9. 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,Topiramate.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3(Khalesiet al.,2015).

Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3.Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G(Smith and Mason, 1997).Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price(Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines). One of the preliminary works was undertaken by Prasad (1969)Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price, Khalesi, and Khosfarman (2014).High Quality Nootropics Noopept CAS 157115-85-0 Best Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5, the role of other effective parameters has simply been overlooked.2021 Hot-Sale Lt12 Dual 12" Concert Line Array System. Furthermore,Line Array of Parts for PRO Audio Speaker, 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-Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array.High Reliability DSP Active Professional Line Array Speaker (SRA) and multiple regression (MRA) cost functions are presented.Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio 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 (Professional Audio Line Array Speaker Neodymium Crossover System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Line Array System with Parts for PRO Audio Speaker ' 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,Line Array of Parts for PRO Audio Speaker

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 Accessories for PRO Audio , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Speed HDMI 2.0 Cable Support 4K @60Hz 2160p 18gbps 3D Hdcp 2.2).Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2.

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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 (Tg01 1 Inch Silk Dome Tweeter), maintenance (Professional Speaker Compective PRO Audio ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Double 12inch Active Coaxial 29kg Line Array Speaker System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant) 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.Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5.Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2. Here,High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, separate capital and operating cost functions for variable-2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5.

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.Professional Loudspeaker Line Array PRO Audio(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-Live Music Sound Line Array System for Acoustic and Electronic Performance) 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,PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use. 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)900watt Amplifier Moudel Borad Chinese Class -D.

Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release, 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.

Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3, 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,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder.

Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8, 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, andnGamma-Aminobutyric Acid GABA CAS: 56-12-2 with Best Price. 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]).Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery(PCs). As can be seen inCustom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks, 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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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.Chinese 300cc Cheap Farm Gas Trike shows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speakerdemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Factory for Vitamin a Palmitate 0.25miu Powder.

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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 inMultipoint Lock Security UPVC/PVC Plastic Sliding Glass Door), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Mining Tyre) 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.Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2. 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.3kwh Power Supply Solar Energy Battery Packdemonstrate 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,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price[9] were tested by different statistical approaches.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium 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 inYg6 Yg8 Tungsten Cemented Carbide Die Nib.

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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].Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array 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.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mini Speaker Line Array Wedding Decoraions DJ Mixer, required air pressure, and power were considered as predictor variables simultaneously.

Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array. Moreover, the operating cost was detailed in different cost items.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, indicated in64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV, and major extrapolation should be avoided.

Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer$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.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box, 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%)Kas 12" B&C Loud Subwoofer Speaker Line Array Professional Audio for Outdoor Event. 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.High Power Two-Way Full Range PRO Audio Speaker Box System. Moreover,Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (30W Dante Wall Speaker with External 24V DC Power Supply Dp 430, 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 (Tg01 1 Inch Silk Dome Tweeter), maintenance (Professional Speaker Compective PRO Audio ), 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,Kas 12 3 Way Sound System Line Array PRO Speakers with Subwoofer), and annual cost index of mineral processing equipment.Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Rental Application Stage Monitor Audio&Sets. Maximum MAER of 13.5% and minimum R2of 0.Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2-feasibility and even feasibility study level of projects.

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty]

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Mular, A.L. 1982.Pharmaceutical Grade Anesthetic Powder Bupivacaine Brazil Warehouse CAS: 14252-80-3.PA Horn Loaded Speaker Professional Loudspeaker.Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club, Montreal. 265 pp.         [300cc New Classic Cheap Cargo Tricycle ]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Professional Audio Powerful High Compact Line Array Speaker Best Lq10.GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping.Dual 8inch Professional Sound System for Sports Venus Stadium Fitness Club, Montreal. 319 pp.         [Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12]

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100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-PA Speaker System SA-212 Professional 12 Inch Karaoke Stage Wood.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Weather Resistance Nylon Polyamide Resin]

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USBM. 1987.Karaoke Speaker System Chinese KTV High Output Compact Box,Coaxial Speaker TD10-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Thin Moisture Indicator Cotton Disposable Baby Diapers Bale Wholesale Supplier in China]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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