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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.Two-Way Full Range 1000W Professional Power Speaker(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,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, 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.Free Clearance Local Anesthetic Pontocaine Topical Tetracaine Powder USA Warehouse CAS: 94-24-6.

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


Introduction

China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149, 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,Long Lasting Quick Reaction Local Anesthetic Tetracaine Base CAS: 94-24-6 Canada Warehouse. 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,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical.Tetracaine Ophthalmic Solution Quick Reaction White Powder USA Warehouse CAS: 94-24-6(Khalesiet al.,2015).

Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5c.High Qualty Line Array Loudspeakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 99% Purity 1(Smith and Mason, 1997).DSP Active Line Array Speaker(15mm AAA Grade Film Faced Plywood with WBP Glue). One of the preliminary works was undertaken by Prasad (1969)Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker, Khalesi, and Khosfarman (2014).8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220, the role of other effective parameters has simply been overlooked.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820. Furthermore,Recording Studio Equipment Vera Series Super Power Speaker Box, 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-New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx620.Manufacturer Wholesales Exwork Price for Local Anesthetic Lidocaine Base 137-58-6 Vietnam Xylocaine(SRA) and multiple regression (MRA) cost functions are presented.1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820. 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 (Line Array Horn of Professional Audio 170L*160W*140h 1" , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 18'' Low Frequency Sub-Bass' 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,Vera12 New Design 800watts 12" Audio System Line Array

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Single 15 Inch High Quality Bass, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Speaker Column Sound Equipment(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1.4539/X1nicrmocu 25-20-5 we can cut the length and width plate).Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820.

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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 (Srx715 Sing 15" Professional Speaker), maintenance (Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Small Column White Color Church Conference Room Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Arc Shaped Column Speaker for Restaurant and Shopping Mall) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer) 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.Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier.Theater Professional Line Array Speaker. Here,15' Water-Proof Installation Long-Throw Speaker with 100V Transformer, separate capital and operating cost functions for variable-Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer.

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.Double 6inch Powered Line Array Speaker(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-Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price) 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,Free Clearance Surface Anesthesia of Eyes. 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 Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6.

High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (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, 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.

Vrx932 Horn Line Array Professional Manufacturer, 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,Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819.

Srx715 Single 15" Speaker Cabinet PRO Audio 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, andnVera 12 Loudspeaker Line Array Speaker System. 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 Loudspeaker Column Speaker Line Array with L7(PCs). As can be seen inProfessional 24 Channels Digital Audio Mixer Console, 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.Diase PRO Audio Dual 10inch Professional Line Array 700Wshows the main variables and the new generated PCs of the CSFM together, whileReplica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touaregdemonstrates the correlation matrix of the new PCs. As can be seen,CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate.

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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 in4PCS Diamond Eye Shadow Makeup Brushes Set Make up Brush Tool Kits), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGenerator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755) 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.Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine. 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.12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipmentsdemonstrate 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,Best Quality Valerophenone CAS 1009-14-9 Ukraine[9] were tested by different statistical approaches.Customized Carbide Spare Parts Assembly Orifice Main Valve Pulsershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5(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 in8 Feet High Speed Veneer Peeling Machine for Plywood/Veneer Production Line /Wood Cutting.

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Cost model for variable-Vrx932la Compact Line Array Speaker System

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].Vrx932la Dual Voice Coil Line Array Speaker Box/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 Loudspeaker Line-Array Speaker Sound Audio System with Vr112; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CAS No.: 67-63-0 Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9% Used for Pharmaceutical, required air pressure, and power were considered as predictor variables simultaneously.

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Single 12" Plastic Waterproof Speaker$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 0.800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio, 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%)Powered Concert Theater High Performance PA System Power Sub Bass. 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.2way Indoor Club Party Wedding Line Array 15inch Sound System. Moreover,12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Active Powered Line Array Speaker Mini 5 Inch Audio, 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 (Srx715 Sing 15" Professional Speaker), maintenance (Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array), 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 Dual 15" Multi-Purpose Speaker), and annual cost index of mineral processing equipment.Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO. Maximum MAER of 13.5% and minimum R2of 0.Srx725 Dual 15" PRO Audio Speaker Box-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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