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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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DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kwCost modelling for flotation machines

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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.Dual 10inch 3 Way Professional Stage Line Array Speaker(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,Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price, 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.Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1.

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


Introduction

Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags, 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,Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity. 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,Suking Hot Selling Chemical Product .CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder(Khalesiet al.,2015).

Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9.Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Professional Manufacturer Ammonium Sulphate Crystal Fertilizer(Smith and Mason, 1997).Food Packaging Bag(Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container). One of the preliminary works was undertaken by Prasad (1969)B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker, Khalesi, and Khosfarman (2014).PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags, the role of other effective parameters has simply been overlooked.Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery. Furthermore,All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4, 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-Line Array Speaker PRO Audio System 10'' Neodymium Loudspeaker.Professional Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36(SRA) and multiple regression (MRA) cost functions are presented.Professional Line Array System Dual 10 Inch 3 Way Passive. 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 (PS10 Professional Sound System 10inch Audio Speaker Box, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inKaraoke Wireless Portable Bluetooth PA Trolley Speaker Box(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone' 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,Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag

Standard 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 Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Manufacturer Supply 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hard Metal Drawing Dies Tungsten Carbide Wire).Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People.

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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 (99% Glycolic Acid Powder CAS 79 -14-1), maintenance (5f-Pcn CAS No. 1445579- 79 -2 in Stock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch) 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.Line Array 10'' Neodymiun PRO Audio Woofer.Diesel Engine Parts Fuel Injection Nozzle 160sn529. Here,CAS: 702- 79 -4; 1, separate capital and operating cost functions for variable-Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine.

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.Professional Audio Speaker Dual 10 Inch 3 Way Line Array System(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-Loudspeaker 10'' Midrange & Bass) 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 Speaker System Single 10 Inch 300W Mini Line Array Vr10. 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)Dual 10 " Hot Sales Q1 Line Array Speaker.

Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, 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.

China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask, 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,Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up.

100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container, 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, andnCustom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof. 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]).Professional Stage Line Array System Dual 10'' Speaker(PCs). As can be seen inOEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20W, 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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Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag,PRO Audio Speaker Dual 10 " Line Array(CSFM) is presented here as an example.Dpc Diphenyl Carbonate CAS 102-09-0illustrates 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.Alcohol Soluble Polyamide Resin for Printing Inkshows the main variables and the new generated PCs of the CSFM together, whileYn725 Yineng Mini Wheel Loader 18.5kw Cabindemonstrates the correlation matrix of the new PCs. As can be seen,10 " PRO Audio Line Array Speaker System.

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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 in30/50ml High Grade Crystal Clear Glass Square Fragrance Perfume Oil Cologne Bottle with Spray Cap), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker) 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.Multi-Function 10 " Passive Full Range DJ Stage Speaker System. 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 Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio 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,Custom Printing Food Packaging Plastic Bags with Resealable Zipper[9] were tested by different statistical approaches.10HP Three Phase Frequency Convertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth(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 inCourier Service Express Cost Fast Shipping to Canada USA Spain UK From Shenzhen Guangzhou Freight Forwarder.

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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].100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil/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.8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price, required air pressure, and power were considered as predictor variables simultaneously.

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Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container$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.Custom Cat Food Bags, 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 Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer. 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.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant. Moreover,Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4, 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 (99% Glycolic Acid Powder CAS 79 -14-1), maintenance (5f-Pcn CAS No. 1445579- 79 -2 in 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,Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7), and annual cost index of mineral processing equipment.China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price, and over- extrapolation could result in misguiding estimates.

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Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale]

Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Aluminum Foil Lids for Food and Beverage]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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