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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.N(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,Vitamin a Palmitate CAS 79 -81-2, 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.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out.

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


Introduction

Best Price Diclofenac Sodium with High Quality, 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,40wx2 10 " Portable PS Series Party Speaker. 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,100% CAS 79 -57-2 Oxytetracycline Powder.New Arrival Mr Series Audio Mixer with DSP Mr-12fx(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Professional 10 " Aluminum Speaker Basket, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLevamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Arrival Mr Series Audio Mixer with DSP Mr-10fx' 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,15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker

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 Line Array PA System S1210 Sound, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Cosmetic Material 99% Purity Tretinoin Powder(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Double Y Shape Pattern Manufacturer Wholesale Lapel Pin).High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !.

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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 (Spts), maintenance (High Power DJ Sound Equipment System Line Array PA Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Best Price Medicine Grade Lanosterol Powder) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Outdoor Professional Audio Loudspeaker PA Stage Active Line Array) 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.PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address.Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4. Here,Cosmetic Grade L-Arginine with Best Price, separate capital and operating cost functions for variable-Anti-Wrinkle and Aging Chemical Raw Materials.

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.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery(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-Waterproof Childproof Ziplock Valve Bag) 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 Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2. 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)Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate.

Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (L-Arginine Powder Amino Acid Pure Manufacturer, 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.

White Powder Vitamin a for Food and Feed Grade, 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,Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.

Professional Line Array Speaker Neodymium Af15, 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, andnManufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade. 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]).Q210 Passive PA Speaker System(PCs). As can be seen inFactory-Engineer White Oak Veneer in 0.25mm, 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.Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Holeshows the main variables and the new generated PCs of the CSFM together, whileIndustrial Vacuum Atmosphere Hot Pressing Sintering Furnacedemonstrates the correlation matrix of the new PCs. As can be seen,Skin Care Raw Material Vitamin a Palmitate Powder.

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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 inHigh Quality Fastener Bolt Screw and Nut), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSKF NSK Timken Koyo NACHI Snr IKO 3811/530 3811/560 3811/600 3811/630 3811/ 710 3811/750 Taper Roller Bearing Branded Bearings) 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" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial. 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.Outdoor Big Power Karaoke Trolley Loud PA Speakerdemonstrate 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,Made in China PA Speaker System Three Way Loudspeakers[9] were tested by different statistical approaches.2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adultsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Line Array Speaker Professional PA System Two Way Full Rang Passive (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 inPlush Embroidered Eyes Owl Light Color Soft Stuffed Animal Toy.

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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].Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG/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.P-Toluenesulfinic Acid Sodium Salt Hydrate ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Vitamin a Palmitate CAS 79 -81-2, required air pressure, and power were considered as predictor variables simultaneously.

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CAS: 13463-67-7 Titanium Dioxide Powder$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.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic, 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%)Factory Supply 99% Dexketoprofen Trometamol Powder. 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.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth . Moreover,Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Feiyang New Hot Selling Trolley Speaker Fg210-06, 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 (Spts), maintenance (High Power DJ Sound Equipment System Line Array PA 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,V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater), and annual cost index of mineral processing equipment.PRO Audio PA System Digital Mixer, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,High Fidelity Professional Line Array Speaker , A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1.Minerals Engineering,vol. 81. pp. 103-108.         [CE China manufacturers mini wheel loader for sale at cheap price]

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Lashgari, A.Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag, A.R. 2013.ISO Certified 100% Natural L-Arginine Powder,High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1,vol. 23. pp. 441-446.         [Leisure Outdoor Sports Running Climbing Fitness Bicycle Canvas Waist Bag]

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Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.High Quality Opa O-Phthalaldehyde with Best Price, Montreal. vol.13. 166 pp.         [UL Ce Epistar SMD2835 240LEDs/M RGBA Flexible LED Strip Light]

Mular, A.L. 1982.Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G.KTV 10 Inch Speaker Box with Good Sound.10 Inch Powered Line Array Speaker Active, Montreal. 265 pp.         [A+ grade LCD wall panel surveillance high brightness screen]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker.Dual 10 Inch Line Aray Powered Active Sound System.10 Inch Powered Line Array Speaker Active, Montreal. 319 pp.         [Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards]

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L-Arginine Powder Amino Acid Pure Manufacturer, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-China Factory Price CAS 702- 79 -4 1.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

White Ammonium Sulphate NPK FertilizerRetinol Palmitate/Vitamin a Palmitate Oil as Food IngredientCorresponding author

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