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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.Alu. Speaker Mount Wall Bracket (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,Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, 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.High Quality 8'' Coaxial Audio Speaker for Long Throw Distance.

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


Introduction

Wall Mount Speaker Bracket , 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,Professional Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801. 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,Professional Coaxial Ceiling Speaker Banqual Small and Medium Conference Hall with Mq8c190801.Waterproof Loudspeaker Wall Mounter 8inch Lt208/Lt208t(Khalesiet al.,2015).

Wireless PA System for Classroom and Church.All-Weather Compact 2-Way Coaxial Loudspeaker with 15" Lfet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Fuel Gas Cylinder ECU 2568d Map Sensors(Smith and Mason, 1997).Steel PRO Audio Speaker Back Plate (Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular). One of the preliminary works was undertaken by Prasad (1969)Hop Quality and Competitive Price Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, Khalesi, and Khosfarman (2014).Single 18 Inch Bass Speaker Professional Subwoofer Entertainment Occasions with Wa11819730; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 8inch Two-Way Line Array Loudspeaker Bi AMP B&C Speaker Unit Ease Function with Vk20819729, the role of other effective parameters has simply been overlooked.All-Weather Compact 2-Way Coaxial Loudspeaker with 6" Lf. Furthermore,Novel Pea Supplements Eria Jarensis Extract Palmitoylethanolamide Raw Powder USA Stock CAS: 10275-21-5, 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-Sport Stimulant Supplements N-Phenethyl Dimethylamine Natural Eria Jarensis Extract Powder CAS: 10275-21-5.Compact Two-Way 8''inch 100V/16-Ohm Loudspeaker with Multi-Tap Transformer(SRA) and multiple regression (MRA) cost functions are presented.Speaker PS10. 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 (30W PA Active Computer 5.1 System Inexpensive Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBlue Masterbatch for Film(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Steel Speaker Cabinet Top Hat with M20 Thread Inside ' 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,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Mouse Talking Simulated 10 Inch Grey Stuffed Toy).Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse.

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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 (CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical), maintenance (Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Qualty Line Array Loudspeaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (DSP Active Line Array Speaker) 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.Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker.8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20. Here,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220, separate capital and operating cost functions for variable-New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820.

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.Recording Studio Equipment Vera Series Super Power Speaker Box(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-New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620) 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,Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine. 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)1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820.

Line Array Horn of Professional Audio 170L*160W*140h 1" , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Single 18'' Low Frequency Sub-Bass, 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.

Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA, 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,Outdoor PRO Audio Loudspeaker.

Doule 8'' Mini Line Arry Loudspeaker, 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, andnWaterproof Loudspeaker Wall Mounter 15inch Mq-15cp. 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]).Vera12 New Design 800watts 12" Audio System Line Array(PCs). As can be seen inSapele Veneer Plywood Sheet for Wood Furniture and Decoration, 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.China Factory Supply Good Quality Polyamide Resin PAshows the main variables and the new generated PCs of the CSFM together, whileChina Inverter Manufacturer 3 Phase Power Frequency Converter 60Hz 50Hz AC Drivedemonstrates the correlation matrix of the new PCs. As can be seen,Srx715 Sing 15" Professional 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 in300ml 10oz Cylinder Candy Glass Mason Jar), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Qingzhou Titan Zl08f 0.8ton Mini Small Garden Tractor Front End Wheel Loader) 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.Small Column White Color Church Conference Room Speaker. 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.Hot Sale 10kw 10000W off Grid Solar Power System Home Usedemonstrate 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,Arc Shaped Column Speaker for Restaurant and Shopping Mall[9] were tested by different statistical approaches.High Feedback Tied Malaysian Virgin Hairshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer(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 in4K HDMI Cable.

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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].Theater Professional 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.15' Water-Proof Installation Long-Throw Speaker with 100V Transformer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV, 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.High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock. Moreover,CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Dehydrating Agent and Cleaning in Pharmaceuticals/Cosmetics/Plastics, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Vrx932 Horn Line Array Professional Manufacturer, 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 (CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical), maintenance (Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6), 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,Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819), and annual cost index of mineral processing equipment.Srx715 Single 15" Speaker Cabinet PRO Audio System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Vera 12 Loudspeaker Line Array Speaker System. Maximum MAER of 13.5% and minimum R2of 0.Professional Loudspeaker Column Speaker Line Array with L7-feasibility and even feasibility study level of projects.

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Single 18'' Low Frequency Sub-Bass, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Srx725 Dual 15" PRO Audio Speaker Box.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [7 Layers or 9 11 Co-Extruded Freezer Food Storage Bag]

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USBM. 1987.3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36,Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [2021 Hot Sale Rolling Wheels Luggage for Hard Shell Appearance]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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