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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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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

0.18mm Engineered Wood Face VeneerCost modelling for flotation machines

S. Arfania; A.R.Single 5"Two-Way Full-Range Loudspeaker Small Scale Indoor with Tx5cProfessional 24 Channels Digital Audio Mixer Console; M.R. Khalesi

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.High Qualty Line Array Loudspeaker(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,DSP Active Line Array Speaker, 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.Neodymium 12inch 932lap Professional Powered DSP Line Array Speaker.

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


Introduction

8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20, 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,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220. 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,New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820.Recording Studio Equipment Vera Series Super Power Speaker Box(Khalesiet al.,2015).

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 Xylocaineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Power and Triple Output Type Static Electric Motor AC Inverter Solar Speed Control(Smith and Mason, 1997).1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820(White Birch Veneer in 0.28mm/Jacky). One of the preliminary works was undertaken by Prasad (1969)Line Array Horn of Professional Audio 170L*160W*140h 1" , Khalesi, and Khosfarman (2014).Single 18'' Low Frequency Sub-Bass; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Loudspeaker 18 Inch Active Subwoofer DSP Function with Wa118SA, the role of other effective parameters has simply been overlooked.Outdoor PRO Audio Loudspeaker. Furthermore,Doule 8'' Mini Line Arry Loudspeaker, 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-Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp.Vera12 New Design 800watts 12" Audio System Line Array(SRA) and multiple regression (MRA) cost functions are presented.Single 15 Inch High Quality Bass. 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 (Professional Audio Speaker Column Sound Equipment, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNitrogen Fertilizers Agriculture N20.5% Granular Ammonium Sulphate(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820' 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,Peq-18SD1 18'' Bass Reflex Active Powerful 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,Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Theater Professional Line Array Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (32"LED Smart Android HD TV Set 12V 32 LED).15' Water-Proof Installation Long-Throw Speaker with 100V Transformer.

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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 (Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer), maintenance (Double 6inch Powered Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Free Clearance Surface Anesthesia of Eyes) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Free Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6) 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.High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock.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. Here,Vrx932 Horn Line Array Professional Manufacturer, separate capital and operating cost functions for variable-Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819.

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.Srx715 Single 15" Speaker Cabinet PRO Audio 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-Vera 12 Loudspeaker Line Array Speaker System) 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 Column Speaker Line Array with L7. 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)Single 15" Plastic Powered Speaker.

Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Double 6" Professional Speaker Line Array, 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.

CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate, 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,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, 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, andnBest Quality Valerophenone CAS 1009-14-9 Ukraine. 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 Single 5" Coaxial Full Range Speaker with CF5(PCs). As can be seen inReplica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg, 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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Vrx932la Dual Voice Coil Line Array Speaker Box,Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112(CSFM) is presented here as an example.VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverterillustrates 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.Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755shows the main variables and the new generated PCs of the CSFM together, whileGt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Vernademonstrates the correlation matrix of the new PCs. As can be seen,Aluminum Speaker Box for 3" Column .

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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 inJoneng Stainless Steel Sanitary Clamped Y-Type Strainer), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina 125cc Moto Efi Euro 4 2t 4t Stroke Motorcycle Motor 49cc 50cc 150cc Moped EPA EEC Gas Scooter) 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.Single 12" Plastic Waterproof 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.China Zl08 Payloader 0.8 Ton Min Articulated Hydraulic Mini Front End Wheel Loaderdemonstrate 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,800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio[9] were tested by different statistical approaches.Breaker Lockshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Powered Concert Theater High Performance PA System Power Sub Bass(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 inWholesale Shockproof Poly Mailer Customized Logo Bubble Padded Shipping Bag for Courier Packaging.

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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].12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS/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 Active Powered Line Array Speaker Mini 5 Inch Audio; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,DSP Active Line Array Speaker, required air pressure, and power were considered as predictor variables simultaneously.

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New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO$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.Srx725 Dual 15" PRO Audio Speaker Box, 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%)3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36. 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.Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15. Moreover,Double 12'' Line Array Audio, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12, 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 (Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer), maintenance (Double 6inch Powered Line Array 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,DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker), and annual cost index of mineral processing equipment.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,USP Level Isopropyl Alcohol 99.9%. Maximum MAER of 13.5% and minimum R2of 0.Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System-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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