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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.Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808(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,96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902, 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.Professional Line Array System Single 10 Inch Neodymium Vr10.

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


Introduction

Samsung LTI550HN16 1920X1080P monitor LCD video wall, 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,Maunfacturing Price Sealed Food Packaging Vacuum Bag. 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,Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar.Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut(Khalesiet al.,2015).

Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock.10'' Ferrite Woofer Best Price Loudspeakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing(Smith and Mason, 1997).Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display(Yn725 Yineng Mini Wheel Front Loader). One of the preliminary works was undertaken by Prasad (1969)Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag, Khalesi, and Khosfarman (2014).Vr36 Dual 10 Inch 3 Way Passive Compact Line Array; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0, the role of other effective parameters has simply been overlooked.Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen. Furthermore,Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade, 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-Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4.Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten(SRA) and multiple regression (MRA) cost functions are presented.Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5. 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 (Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kixio Hoist Polipasto Manual De Capacidad 2t).37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display.

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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 (49" 450nits LG panel advertising LCD screen ), maintenance (aluminium LCD wall panel surveillance flat display) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3X3 LCD wall panel surveillance digital display screen.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (AV input LCD wall panel 49inch surveillance monitors) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (LG panel 49" advertising rack ) 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.55inch wall mount LCD panel surveillance LED video.Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn. Here,55 Inch LCD Video Wall Display with Controller, separate capital and operating cost functions for variable-10inch Speaker for Music Bar PRO Audio Sound System.

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.10inch Professional Karaoke Speaker for Luxury Room(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-Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel) 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,139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice. 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)Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer.

Professional Sound System 10'' PRO Neodymium Line Array PA Audio System., the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (10inch Loudspeaker PA Speaker PRO Audio, 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.

10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power, 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,10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker.

Single 10 Inch Active Speaker PS10r2 PA 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, andnProfessional Audio Speaker Dual 10 Inch Neodymium Line Array. 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]).Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging(PCs). As can be seen inProfessional Column Speaker Line Array Full Range Loudspeaker Multi-Function L3, 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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Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window,Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed(CSFM) is presented here as an example.Weifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finlandillustrates 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.AC Fan Frequency Inverter 3pH 7.5kwshows the main variables and the new generated PCs of the CSFM together, while20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laserdemonstrates the correlation matrix of the new PCs. As can be seen,Food Packaging Bag.

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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 inCustom Fashion Print Short-Sleeved Ladies T-Shirt), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Benzaldehyde with Fast Delivery) 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.Water Proof Child Coffee /Candy/Weed Plastic Container. 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.Empty Canister White Metal Round Packaging Cans Box Tea Tinsdemonstrate 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,10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer[9] were tested by different statistical approaches.Engineered Ebony Veneer Ecowood Reconstituted Macassar Quarter Cutshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts(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 inCee Yellow 32A Straight Type Panel Mounted Socket.

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Cost model for variable-Donbn Dz- 10 Two Way Full Range Professional KTV Speaker

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].Professional Speaker Double 10'' Neodymium Line Array/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.10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902, required air pressure, and power were considered as predictor variables simultaneously.

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A+ grade LCD wall panel surveillance high brightness screen$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.Seamless 1920*1080 Pixel High Resolution LCD Monitor 49", 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%)PA 10 -35W 5.25'' Sound Ceiling Speaker. 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.Samsung LTI550HN16 1920X1080P screen monitor LCD video wall. Moreover,46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Purity Amino Acid L-Arginine Powder, 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 (49" 450nits LG panel advertising LCD screen ), maintenance (aluminium LCD wall panel surveillance flat display), 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,High Efficiency 10inch Transducers PS10 for Best PA Speaker), and annual cost index of mineral processing equipment.Active 10 " Line Array with Calss-D Amplifier and Built-in DSP, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7.Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter.CAS 79 -14-1 70% Glycolic Acid Powder, Montreal. 319 pp.         [Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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