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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

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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.2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds(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,Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use, 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.Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale.

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


Introduction

Active Compact Column PA Speaker Powered Loudspeaker Point Source, 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,PA Speaker Sound System Dual 8'' Two-Way Line Array. 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,Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control.12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments(Khalesiet al.,2015).

PRO Audio with Tweeter Horn for Line Array .Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Zl08f Wheel Loader with Rops Cab(Smith and Mason, 1997).Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder(Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner). One of the preliminary works was undertaken by Prasad (1969)GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2, Khalesi, and Khosfarman (2014).Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0, the role of other effective parameters has simply been overlooked.Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5. Furthermore,High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales, 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-Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5(SRA) and multiple regression (MRA) cost functions are presented.Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h . 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 (High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in55% Rubber Content Tyre High Performance Diagonal Motorcycle Tires 200/55- 17(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bread Making Production Line Food Processor).Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8.

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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 (Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System), maintenance (Best Quality Safe Delivery 1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Price Speaker Wall Mount Bracket .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8) 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.Manufacturers Supply .High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride. Here,High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9, separate capital and operating cost functions for variable-Steel Wall Bracket for Speaker with Quick Release Pin .

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.Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8(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-CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa) 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,99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample. 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)Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8.

Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tetracaine HCl CAS136-47-0, 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 Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion, 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,CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.

Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0, 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, andnMelamine Molding Powder for Making Tableware Dishware China. 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]).Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20(PCs). As can be seen inVector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor, 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.2.4G 5.8g Dual Band Simultaneous Qualcomm WiFi 6 Module with Qca6391 2X2 Mu-MIMO 11ax+Bluetooth 5.1shows the main variables and the new generated PCs of the CSFM together, whileNicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lightsdemonstrates the correlation matrix of the new PCs. As can be seen,PA Power DJ Audio Speaker.

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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 inGood Quality Automatic 3 Axis CNC Router Wood Carving Machine 1325 for Sale), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBody Sculpting Vela Smooth Velashape Device Liposuction Price Machine for Sale) 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 Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7. 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.Frequency China Vector Control AC Drive Power Supply Inverter Solar Converterdemonstrate 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,12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker[9] were tested by different statistical approaches.High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weightshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Double 12" 3-Way Line Array PA 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 inPig Splat Ball Water Squeeze.

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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].PA Speaker Parts&Accessories Back Plate Speakon Nl4 /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 Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use, required air pressure, and power were considered as predictor variables simultaneously.

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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.PA Speaker with Horn Parts 210L*62W*105h 1"X2 . Moreover,PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol, 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 (Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System), maintenance (Best Quality Safe Delivery 1), 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,Food Grade L Selenomethionine Powder/L-Selenomethionine), and annual cost index of mineral processing equipment.120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, and over- extrapolation could result in misguiding estimates.

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References

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Highly Effective Deltamethrin ]

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Mular, A.L. 1982.Lidocaine Hydrochloride CAS 73-78-9 HCl.PA Speaker Parts .Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, Montreal. 265 pp.         [Professional Digital Audio Line Array System Dual 10 Inch Active]

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Tetracaine HCl CAS136-47-0, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Outdoor Big Power Karaoke Trolley Loud PA Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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