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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

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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.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5(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,Trolley Large Audio Loudspeaker Box Professional Stage Active PA 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.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.

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


Introduction

Portable 15inch PA Speaker F15+, 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,Pharmaceutical Chemical CAS 236117-38-7. 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,Speaker 12 Inch SA-212 Professional Sound Box Portable Passive.Speaker Tcx- 10(Khalesiet al.,2015).

PA Woofer Speaker T- 10 12 15.Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Saleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Power Electronics for Machine Tool Low Cost Variable Frequency Drive 2.2kw(Smith and Mason, 1997).Dual 10inch Professional PRO Audio Speaker System(CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical). One of the preliminary works was undertaken by Prasad (1969)10 " PRO Audio DJ Line Array Speaker Equipment System, Khalesi, and Khosfarman (2014).Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5, the role of other effective parameters has simply been overlooked.10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System. Furthermore,Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker, 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-Professional Powered Line Array Selfpowered Speakers Active System.MBN1503 PA Woofer (SRA) and multiple regression (MRA) cost functions are presented.Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price. 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 (Self Powered Generator Double 8 Inch Outdoor Sound Indoor Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in1.2mm White Poplar Veneer From Factory for Exporting(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Light and Durable Mixing Console Mg124cx Audio Mixer' 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,Top Quality Isopropyl Alcohol

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Disco Sound+ PA System Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (P3 Video Indoor TV Advertising LED Display Screen).High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier.

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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 (High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride), maintenance (N- ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Kara Double 8 Inch Liner Speaker System Professional Audio Equipment.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Raw Material Anti Epilepsy Topiramate Powder with Best Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 12 Inch Powered Line Array Active Sound System W-210bp) 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 Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl.Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5. Here,Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample, separate capital and operating cost functions for variable-Kas DJ Speaker Dual Line Array 18 Inch Subwoofer.

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.Mini Speaker Line Array Wedding Decoraions DJ Mixer(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-8 Ohm PRO Audio DJ Mixer Live Sound 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 Stage Line Array System Dual 15'' Self-Powered Speaker. 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)High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9.

Topiramate, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3, 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.

Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3, 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,Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5.

Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price, 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, andnAnesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price. 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]).High Quality Nootropics Noopept CAS 157115-85-0 Best Price(PCs). As can be seen inChina Supplier of CAS 702- 79 -4 1, 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.Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizershows the main variables and the new generated PCs of the CSFM together, whileElectric Motorcycles demonstrates the correlation matrix of the new PCs. As can be seen,Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array.

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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 inQt4-15D Hfb580A Automatic Hydraulic Paver Brick Machine Hollow Concrete Block Making with Factory Price), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDouble End Single Side Acrylic Freestanding Tub) 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.Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit 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.OEM 6kw Home Grid Tied Solar Power System Without Batterydemonstrate 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,Professional Audio Line Array Speaker Neodymium Crossover System[9] were tested by different statistical approaches.350ml Brake Fluid Glue Tin Bottleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Line Array System with Parts for PRO Audio Speaker (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 inYellow Jacquard Geometric Pattern Chair Fabric.

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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].Power Amplifier Module Board + Made in China 400 Watt AMP/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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Line Array with Accessories for PRO Audio $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.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker, 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%)Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2. 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.Tg01 1 Inch Silk Dome Tweeter. Moreover,Professional Speaker Compective PRO Audio , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Double 12inch Active Coaxial 29kg Line Array Speaker System, 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 (High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride), maintenance (N- ), 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,Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor), and annual cost index of mineral processing equipment.Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.Live Music Sound Line Array System for Acoustic and Electronic Performance, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Factory Mining Tyre]

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99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [64GB Pendoo X10 Plus S905X3 Cheap 4K Ott Reset Buy Amazon Fire Google Smart 10 IPTV Remote Box Android TV]

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USBM. 1987.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker,Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Multiple-Function LED Linear Light Tubes]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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