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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 Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15(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,Double 12'' Line Array Audio, 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 Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12.

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


Introduction

DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker, 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,15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor. 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,USP Level Isopropyl Alcohol 99.9%.Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System(Khalesiet al.,2015).

Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4.Top Quality and Best Price for Isopropyl Alcohol 99.9%et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Permethrin 25% EC Pesticide & Insecticides(Smith and Mason, 1997).Bp Grade Benzyl Benzoate 99% Min(18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting). One of the preliminary works was undertaken by Prasad (1969)Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping, Khalesi, and Khosfarman (2014).White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2, the role of other effective parameters has simply been overlooked.High Purity Ethylamine HCl. Furthermore,Steel Circle for PA Speaker Parts 16*3h , 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-PA Speaker Cabinet Accessories .Professional Audio Loudspeaker PA Stage Active Line Array(SRA) and multiple regression (MRA) cost functions are presented.PA Speaker Accessories and Parts . 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 (PA System with Rigging Shackle Hardware Parts M25 , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAllsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for House(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci' 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 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New 90LED / M 2835 LED Hard Strip Waterprof High Brightness).Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine.

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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 (The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2), maintenance (Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use) 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.Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale.Active Compact Column PA Speaker Powered Loudspeaker Point Source. Here,PA Speaker Sound System Dual 8'' Two-Way Line Array, separate capital and operating cost functions for variable-Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control.

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.12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments(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-PRO Audio with Tweeter Horn for Line Array ) 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,Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5. 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)Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder.

GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker, 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.

Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0, 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,Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5.

High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales, 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, andnSafe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse. 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]).Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5(PCs). As can be seen in1.8mm ultra narrow bezel 16: 9 LED TV video wall for home, 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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High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales,New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi(CSFM) is presented here as an example.Good Packed Bottle PE Film Shrink Wrapping Machine Chinaillustrates 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.2 X HDMIshows the main variables and the new generated PCs of the CSFM together, whileHot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottledemonstrates the correlation matrix of the new PCs. As can be seen,New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci.

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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 inCar Nameplate Factory Supplu Rectangular Shape Custom Logo Badge), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCafe Bar Table Wrought Iron Home Living Room Dining) 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.Home Theater PA PRO Audio 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.1-Bromo-3demonstrate 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,PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer[9] were tested by different statistical approaches.World IPTV M3u Subscription 1 Year for Arabic Netherlands Malta Austria Bulgaria Romania Egypt Croatia Africa 9600 Channels Smart TV Android Appleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio Kara Line Array(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 inHigh Quality Plastic Zipper #5 #3 for Garments.

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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].Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3/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 Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Double 12'' Line Array Audio, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Price Speaker Wall Mount Bracket $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.Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8, 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%)Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8. 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.Manufacturers Supply . Moreover,High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9, 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 (The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2), maintenance (Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock), 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,Steel Wall Bracket for Speaker with Quick Release Pin ), and annual cost index of mineral processing equipment.Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. Maximum MAER of 13.5% and minimum R2of 0.99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample-feasibility and even feasibility study level of projects.

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Khalesi, M. R., Zarei, M. J.,3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Tetracaine HCl CAS136-47-0.Minerals Engineering,vol. 81. pp. 103-108.         [Supply High Quality L-Lactic Acid with CAS 79 -33-4]

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Lashgari, A.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, A.R. 2013.Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0,Melamine Molding Powder for Making Tableware Dishware China,vol. 23. pp. 441-446.         [33X12.50r15lt 33X12.50r18lt 33X12.50r20lt P275/55r20 M/T a/T Tire by DOT]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper]

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Mular, A.L. 1982.Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl.Professional Speaker with Hanging Hardware Parts Horizontal .PA Power DJ Audio Speaker, Montreal. 265 pp.         [Food Grade Vitamin a Palmitate Powder CAS 79 -81-2]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Nickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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