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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.Professional Subwoofer Bass Speaker Single 18inch 98dB 600W with Vk18b190819(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,Srx715 Single 15" Speaker Cabinet PRO Audio System, 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.Vera 12 Loudspeaker Line Array Speaker System.

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


Introduction

Professional Loudspeaker Column Speaker Line Array with L7, 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,Single 15" Plastic Powered 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,Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse.Double 6" Professional Speaker Line Array(Khalesiet al.,2015).

CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate.Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sampleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(Smith and Mason, 1997).Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine(Factory Supply Ethyl Valerate CAS 539-82-2). One of the preliminary works was undertaken by Prasad (1969)Best Quality Valerophenone CAS 1009-14-9 Ukraine, Khalesi, and Khosfarman (2014).Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Vrx932la Compact Line Array Speaker System, the role of other effective parameters has simply been overlooked.Vrx932la Dual Voice Coil Line Array Speaker Box. Furthermore,Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112, 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-Aluminum Speaker Box for 3" Column .Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS(SRA) and multiple regression (MRA) cost functions are presented.Single 12" Plastic Waterproof Speaker. 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 (800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Powered Concert Theater High Performance PA System Power 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,Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Srx725 Dual 15" PRO Audio Speaker Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Indoor Stage Equipment P3.91 LED Display Screen for HD Video Wall).3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36.

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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 (Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15), maintenance (Double 12'' Line Array Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor) 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.USP Level Isopropyl Alcohol 99.9%.Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System. Here,Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4, separate capital and operating cost functions for variable-Top Quality and Best Price for Isopropyl Alcohol 99.9%.

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.Bp Grade Benzyl Benzoate 99% Min(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-Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping) 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,White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic. 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)Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2.

High Purity Ethylamine HCl, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Steel Circle for PA Speaker Parts 16*3h , 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.

PA Speaker Cabinet Accessories , 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 Audio Loudspeaker PA Stage Active Line Array.

PA Speaker Accessories and Parts , 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, andnPA System with Rigging Shackle Hardware Parts M25 . 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]).New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci(PCs). As can be seen inPyridinecas Number 110//86//1 Used as Chemical Reagent, 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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Power Column Speaker PA System,Speaker Wall Mounting Bracket (CSFM) is presented here as an example.Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500Willustrates 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.Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturersshows the main variables and the new generated PCs of the CSFM together, whileThe Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factorydemonstrates the correlation matrix of the new PCs. As can be seen,Single 18'' High Power Speaker Subwoofer.

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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 inNail Polish), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMade in China Solar System 10kw 20kw 30kw 40kw 50kw Energy for Industry) 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 0.99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl. 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.High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electricdemonstrate 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,Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9[9] were tested by different statistical approaches.AC Variable Vector Frequency Invertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine(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 inHpf-80 Nice Price Non-Digging Floor Spring Machine Hydraulic Patch Fitting.

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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].Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock/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

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Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale$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.Active Compact Column PA Speaker Powered Loudspeaker Point Source, 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 Speaker Sound System Dual 8'' Two-Way Line Array. 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.Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control. Moreover,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PRO Audio with Tweeter Horn for Line Array , 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 (Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15), maintenance (Double 12'' Line Array Audio), 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,Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5), and annual cost index of mineral processing equipment.Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder, and over- extrapolation could result in misguiding estimates.

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References

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Khalesi, M. R., Zarei, M. J.,Vrx932 Horn Line Array Professional Manufacturer, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales.Minerals Engineering,vol. 81. pp. 103-108.         [2 X HDMI]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle]

Lashgari, A.Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5, A.R. 2013.Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h ,High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales,vol. 23. pp. 441-446.         [Super Silent UK Engine 1106A-70tg1 108kw/135kVA 120kw/150kVA Power Electric Diesel Genset Generator Set]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [High Purity Retinol Palmitate Powder]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Professional Audio Kara Line Array.Three-Way Large Touring Performance Line Array System PA Speaker.PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer, Montreal. 319 pp.         [World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Apple]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer]

Noakes, M. and Lanz, T. 1993.Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8.Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System, Carlton, victoria. 412 pp.         [Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Best Quality Safe Delivery 1.vol. 1.Cheap Price Speaker Wall Mount Bracket , Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Child Resistant Waterproof Plastic Bag with Zipper]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [High Quality Skin Care Tretinoin Powder with Best Price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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