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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

GENERAL PAPERS

Skin Whitening Machine / Fractional RFCost modelling for flotation machines

S. Arfania; A.R.Alumimun Foil Film BagOphthalmic Equipment Biometer Scan a; M.R. Khalesi

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.99 Purity Peptides Oxytocin Injection Acetate 2mg(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,99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder, 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.Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker .

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


Introduction

USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory, 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,Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China. 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,Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder.10'' Inch Ferrite Woofer(Khalesiet al.,2015).

High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production.10'' Ferrite Wooferet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine(Smith and Mason, 1997).Professional Stage Line Array System Dual 10 Inch DSP Active Speaker (Europe Popular 5kw Grid Tied Home Solar Energy System with Ce). One of the preliminary works was undertaken by Prasad (1969)D&B Style Dual 10 " Professional Speaker Line Array , Khalesi, and Khosfarman (2014).UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Line Array 10 Inchneodymiun PRO Audio Woofer, the role of other effective parameters has simply been overlooked.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice. Furthermore,Mylar Custom Printing Barrier Exit Bag, 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-10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment.10 Inch Coaxial Speaker Professional Driver 250wrms Line Array(SRA) and multiple regression (MRA) cost functions are presented.Professional Dual 10 " 3-Way Tri-AMP Line Array 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 (Manufacturer Supply 1, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inActive 5 Inch Mini Line Array Speaker+Concert Sound +Wedding Party System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10inch Powerful Line Array Speaker Ds210 Professional' 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,High Quality Vitamin B5 Pantothenic Acid Powder Manufacturer with Bulk Shipment

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pharmaceutical Intermediate 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Natural Handmade Oat Bath Soap for Men Dry Skin Moisturizing).2-Phenylbenzimidazole|716- 79 -0 99% High 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 (Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3), maintenance (High Quality 1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (New Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price) 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 Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper.Sell Well Opa. Here,Best Price O-Phthalaldehyde, separate capital and operating cost functions for variable-Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price.

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.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide(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-Qsn Professional Audio Dual 10 "Power Speaker Xt10) 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,Hot Selling Powder Thiabendazole CAS 148- 79 -8. 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 Quality Coffee /Candy/Weed Plastic Container.

Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit, 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.

Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210, 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 2 Ways Self-Powered Active Column Speaker Box Line Array System.

Two-Way Passive Line Array , 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, andnHigh Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker. 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]).Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks(PCs). As can be seen inPowerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker, 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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Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant,Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca(CSFM) is presented here as an example.Endless Poolillustrates 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.Professional Line Array System Dual 10 Inch 3 Way Passiveshows the main variables and the new generated PCs of the CSFM together, whilePowder Compound Fertilizer Ammonium Sulphate with Nitrogen 21%demonstrates the correlation matrix of the new PCs. As can be seen,Mylar Child Resistant Waterproof Plastic Bag with Zipper.

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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 inModern Apollo Massage Bathtub with FM Radio), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket) 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.Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper. 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.Df B&C Trees Speaker Subwoofer Audio Professionaldemonstrate 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,Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price[9] were tested by different statistical approaches.Professional All Weather Water-Proof Outdoor Speaker Humidity Proof Two Ways Mq6tp190801shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock(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 inCommercial Funnel for Kitchen Stainless Steel with Handle Shelf.

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Cost model for variable-Custom Aluminum Foil Laminated Bag with Zipper

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].High Purity O-Phthalaldehyde/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.PRO Audio Dual 10 " 900W Sound System Perfect Line Array Active Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder, required air pressure, and power were considered as predictor variables simultaneously.

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10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array$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.Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System, 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%)Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease. 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.Hrk Provide Topiramate Powder Price CAS 97240- 79 -4. Moreover,Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers , 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 (Pharmaceutical Intermediates 2-Aminoanthraquinone/C14h9no2 CAS 117- 79 -3), maintenance (High Quality 1), 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,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt), and annual cost index of mineral processing equipment.China Hot Sale Professional Speaker Dual 10 Inch Line Array, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,10 " Plywood Professional DSP Active Speaker . Maximum MAER of 13.5% and minimum R2of 0.Top Quality CAS 643- 79 -8 O-Phthalaldehyde-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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