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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.Single 18'' Low Frequency Sub-Bass(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,Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA, 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.Outdoor PRO Audio Loudspeaker.

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


Introduction

Doule 8'' Mini Line Arry Loudspeaker, 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,Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp. 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,Vera12 New Design 800watts 12" Audio System Line Array.Single 15 Inch High Quality Bass(Khalesiet al.,2015).

Professional Audio Speaker Column Sound Equipment.Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chinese Wholesale Gas Powered EPA Ce Trike Scooter 300cc(Smith and Mason, 1997).Srx715 Sing 15" Professional Speaker(OEM/ODM T95 Allwinner H616 Android 10.0 6K 4GB 32GB Box 4K Remote Control Smart TV). One of the preliminary works was undertaken by Prasad (1969)Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array, Khalesi, and Khosfarman (2014).Small Column White Color Church Conference Room Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Arc Shaped Column Speaker for Restaurant and Shopping Mall, the role of other effective parameters has simply been overlooked.Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer. Furthermore,Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier, 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-Theater Professional Line Array Speaker.15' Water-Proof Installation Long-Throw Speaker with 100V Transformer(SRA) and multiple regression (MRA) cost functions are presented.Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer. 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 (Double 6inch Powered Line Array Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inCAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmide(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price' 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,Vrx932 Horn Line Array Professional Manufacturer

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Srx715 Single 15" Speaker Cabinet PRO Audio System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kills 99.99% of Bacteria Cleaning Gel Ready Stocks Alcohol Disinfectant Manufacturers Hand Sanitize 75% Sanitizer Antibacterial Wash).Vera 12 Loudspeaker Line Array Speaker System.

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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 (Professional Loudspeaker Column Speaker Line Array with L7), maintenance (Single 15" Plastic Powered Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Double 6" Professional Speaker Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate) 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.Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample.Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine. Here,Best Quality Valerophenone CAS 1009-14-9 Ukraine, separate capital and operating cost functions for variable-Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5.

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.Vrx932la Compact Line Array Speaker System(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-Vrx932la Dual Voice Coil Line Array Speaker Box) 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,Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112. 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)Aluminum Speaker Box for 3" Column .

Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Single 12" Plastic Waterproof Speaker, 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.

800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio, 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,Powered Concert Theater High Performance PA System Power Sub Bass.

2way Indoor Club Party Wedding Line Array 15inch Sound System, 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, andn12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS. 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 Active Powered Line Array Speaker Mini 5 Inch Audio(PCs). As can be seen in100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil, 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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Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca,New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO(CSFM) is presented here as an example.Lithium Prismatic Cells 40V 60V 72V LiFePO4 Battery Li-ion for Solar and EVillustrates 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.PVC Pipe Making Machine Alibabashows the main variables and the new generated PCs of the CSFM together, whileFlying Laser Marking System Markerdemonstrates the correlation matrix of the new PCs. As can be seen,Srx725 Dual 15" PRO Audio Speaker Box.

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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 in50Hz 380V Cummins Engine Powered by 100kw 200kw 300kw 400kw Diesel Generator with Stamford Alternator), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFrench Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can) 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 System Signal 15" Two-Way Full-Range Speakers PA with Tq15. 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.7 Layers or 9 11 Co-Extruded Freezer Food Storage Bagdemonstrate 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,Double 12'' Line Array Audio[9] were tested by different statistical approaches.Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriolshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12(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 in33.25r29 Triangle Brand Jumbo OTR Tyres.

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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].15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor/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.USP Level Isopropyl Alcohol 99.9%; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA, required air pressure, and power were considered as predictor variables simultaneously.

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Top Quality and Best Price for Isopropyl Alcohol 99.9%$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.Bp Grade Benzyl Benzoate 99% Min, 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%)Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping. 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.White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic. Moreover,Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Purity Ethylamine HCl, 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 (Professional Loudspeaker Column Speaker Line Array with L7), maintenance (Single 15" Plastic Powered Speaker), 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,Steel Circle for PA Speaker Parts 16*3h ), and annual cost index of mineral processing equipment.PA Speaker Cabinet Accessories , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Professional Audio Loudspeaker PA Stage Active Line Array. Maximum MAER of 13.5% and minimum R2of 0.PA Speaker Accessories and Parts -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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