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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
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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.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220(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,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820, 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.Recording Studio Equipment Vera Series Super Power Speaker Box.

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


Introduction

New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620, 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,Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine. 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,1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820.Line Array Horn of Professional Audio 170L*160W*140h 1" (Khalesiet al.,2015).

Single 18'' Low Frequency Sub-Bass.Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SAet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for AC Drive(Smith and Mason, 1997).Outdoor PRO Audio Loudspeaker(Diase PRO Audio Dual 10inch Professional Line Array 700W). One of the preliminary works was undertaken by Prasad (1969)Doule 8'' Mini Line Arry Loudspeaker, Khalesi, and Khosfarman (2014).Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vera12 New Design 800watts 12" Audio System Line Array, the role of other effective parameters has simply been overlooked.Single 15 Inch High Quality Bass. Furthermore,Professional Audio Speaker Column Sound Equipment, 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-Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820.Srx715 Sing 15" Professional Speaker(SRA) and multiple regression (MRA) cost functions are presented.Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array. 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 (Small Column White Color Church Conference Room Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inReplica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Arc Shaped Column Speaker for Restaurant and Shopping Mall' 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,Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Double 6inch Powered Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Latest Design Men's Fine Jewelry 925 Sterling Silver Hip Hop Iced out Rapper CZ Head Pendant Charms).Free Clearance Surface Anesthesia of Eyes.

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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 (Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6), maintenance (High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,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.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Vrx932 Horn Line Array Professional Manufacturer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819) 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.Srx715 Single 15" Speaker Cabinet PRO Audio System.Vera 12 Loudspeaker Line Array Speaker System. Here,Professional Loudspeaker Column Speaker Line Array with L7, separate capital and operating cost functions for variable-Single 15" Plastic Powered Speaker.

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.Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse(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-Double 6" Professional Speaker Line Array) 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,CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate. 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)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, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Best Quality Valerophenone CAS 1009-14-9 Ukraine, 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 Single 5" Coaxial Full Range Speaker with CF5, 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,Vrx932la Compact Line Array Speaker System.

Vrx932la Dual Voice Coil Line Array Speaker Box, 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, andnProfessional Loudspeaker Line-Array Speaker Sound Audio System with Vr112. 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]).Aluminum Speaker Box for 3" Column (PCs). As can be seen inVFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverter, 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 12" Plastic Waterproof Speaker,800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio(CSFM) is presented here as an example.Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Vernaillustrates 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.12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipmentsshows the main variables and the new generated PCs of the CSFM together, whileCustomized Carbide Spare Parts Assembly Orifice Main Valve Pulserdemonstrates the correlation matrix of the new PCs. As can be seen,Powered Concert Theater High Performance PA System Power Sub Bass.

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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 inBest Laser Cutter for Small Business/Budget), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini 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 0.12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS. 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.1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Batterydemonstrate 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,Professional Active Powered Line Array Speaker Mini 5 Inch Audio[9] were tested by different statistical approaches.New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Minishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Dual 15" Multi-Purpose 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 in2021 New Design China Supply Cheap Price Face Shield.

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Cost model for variable-Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca

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].New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO/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.Srx725 Dual 15" PRO Audio Speaker Box; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820, required air pressure, and power were considered as predictor variables simultaneously.

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Double 12'' Line Array Audio$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.Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12, 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%)DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker. 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.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor. Moreover,USP Level Isopropyl Alcohol 99.9%, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System, 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 (Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6), maintenance (High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock), 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,Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4), and annual cost index of mineral processing equipment.Top Quality and Best Price for Isopropyl Alcohol 99.9%, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Single 18'' High Power Speaker Subwoofer.Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802.Speaker Wall Mounting Bracket , Montreal. 319 pp.         [Good Quality 2-Wheel Electric Motorcycle 500-1000W Scooter in Stock]

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USBM. 1987.Active Compact Column PA Speaker Powered Loudspeaker Point Source,PA Speaker Sound System Dual 8'' Two-Way Line Array-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [10oz Ceramic Stoneware Color Glaze Coffee Mug with Gift Box Packing]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

MBN1503 PA Woofer Cafe Bar Table Wrought Iron Home Living Room DiningCorresponding author

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