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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

Dual 10 Inch Line Array for Concert Live Service Cost modelling for flotation machines

S. Arfania; A.R.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout PouchCommercial Solar System 100kw Grid Tied /on 100kVA 60kw; 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.200X5000mm Vacuum Sealer Bag Roll for Food Packaging(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,Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, 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.Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole.

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


Introduction

Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade 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,Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron. 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,Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2(Khalesiet al.,2015).

Professional Sound Speaker System Single 10 Inch Mini Passive Line Array Vr10.Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Device(Smith and Mason, 1997).D&B Q1 Style Dual 10 Inch Professional Speaker (Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine). One of the preliminary works was undertaken by Prasad (1969)Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10, Khalesi, and Khosfarman (2014).46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10'' Neodymium Woofer Professional Loudspeaker with Brown Cone., the role of other effective parameters has simply been overlooked.PA 10 -25W 4 Inch Sound Ceiling Speaker. Furthermore,Runtz Packaging Mylar Ziplock Food Grade Plastic Zip Lock Bags Stand up Pouch Pet Custom Logo 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-Aluminum Foil Plastic Papacking Vacuum Puffed Food Bag.1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container(SRA) and multiple regression (MRA) cost functions are presented.High bright Samsung 46" 49" 55" LCD video wall screen monitor. 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 (Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in800W 60V20ah Lead-Acid Battery Electric Scooter Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk' 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,BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Portable Solar Energy Kit with 3W Light *FM Radio*Bluethooth &Solar Panel).High Quality Printed Food Packaging Doypack Aluminium Zipper Bags.

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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 Argipressine CAS 113- 79 -1 with Best Price), maintenance (1-Bromo-3) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (55 Inch Stand Alone Digital Free Standing LCD Advertising Display) 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.Top Selling 1.Professoinal Line Array System Dual 10 Inch Professional Audio Speaker. Here,Dual 10 " Compact Speaker Line Array , separate capital and operating cost functions for variable-Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity.

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.Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4(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-Economic Mulifunctional Line Array System Speaker Dual 10 Inch) 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,Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10. 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)Professional Loudspeaker 10'' Neodymium Magnet.

Kas PRO Top 10inch Line Array Audio Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4, 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.

Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, 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 Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker.

LG 46" 49" 55" DVI LED video panel for monitoring, 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, andnRetinoic Acid CAS No. 302- 79 -4. 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]).Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags(PCs). As can be seen inHK1 S905W 2g 16g 7.1 Android TV Box of New Product Set Top with Low Price Kd Player 17.0, 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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Doypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag,2-Way Speaker PS10 for High Quality Stage Monitor(CSFM) is presented here as an example.2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming 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.Water-Proof Cover 3 Wheel Cargo Gasoline Trikeshows the main variables and the new generated PCs of the CSFM together, whileHot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Gradedemonstrates the correlation matrix of the new PCs. As can be seen,Professional Line Array Speaker Single 10 Inch Full Range 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 inBusiness Laptop Backpack School Travel), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMotorcycle Tires/Motorcycle Tyre/Tire 2.50- 17 2.50-18 2.75- 2.75-18) 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.Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808. 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.Free Clearance Surface Anesthesia of Eyesdemonstrate 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,96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902[9] were tested by different statistical approaches.100% Copper Wire St-1kw Single Phase Dynamo Factory Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Line Array System Single 10 Inch Neodymium Vr10(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 inCustom Printed Food Grade Reusable 3 Side Heat Sealing Meat Rice Nylon Vacuum Frozen Packaging Bag.

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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].Maunfacturing Price Sealed Food Packaging Vacuum Bag/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.Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag, required air pressure, and power were considered as predictor variables simultaneously.

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10'' Ferrite Woofer Best Price Loudspeaker$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.Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display, 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%)Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag. 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.Vr36 Dual 10 Inch 3 Way Passive Compact Line Array. Moreover,Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen, 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 Argipressine CAS 113- 79 -1 with Best Price), maintenance (1-Bromo-3), 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,Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade), and annual cost index of mineral processing equipment.Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten. Maximum MAER of 13.5% and minimum R2of 0.Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5-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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