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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

Ortho Phthalaldehyde CAS 643- 79 -8 O-PhthalaldehydeCost 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.1-Bromo-3(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,Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020, 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.Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China.

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


Introduction

55 Inch Stand Alone Digital Free Standing LCD Advertising Display, 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,Top Selling 1. 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,Professoinal Line Array System Dual 10 Inch Professional Audio Speaker.Dual 10 " Compact Speaker Line Array (Khalesiet al.,2015).

Factory Supply High Quality N-Cbz-D-Leucine Powder CAS. 28862- 79 -5 99% Purity.Factory Supply Tretinoin / Retinoic Acid Vitamin a 302- 79 -4et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Everun 0.8ton Er408t Hot Sale New Design Small Agricultural Equipment Mini Front End Wheel Loader(Smith and Mason, 1997).Economic Mulifunctional Line Array System Speaker Dual 10 Inch(4 Inch Waterproof Installation Professional Speaker with 100V Fdb Audio). One of the preliminary works was undertaken by Prasad (1969)Single 10inch Two Ways Professional Line Array Loudspeaker Bi AMP B&C Imported Driver with Vk10, Khalesi, and Khosfarman (2014).Professional Loudspeaker 10'' Neodymium Magnet; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Kas PRO Top 10inch Line Array Audio Speaker, the role of other effective parameters has simply been overlooked.Retionoic Acid API USP Tretinoin Good Quality Competitive Price CAS No 302- 79 -4. Furthermore,Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%, 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 Sound Speaker Dual 10 Inch 3 Way Passive Line Array Loudspeaker.LG 46" 49" 55" DVI LED video panel for monitoring(SRA) and multiple regression (MRA) cost functions are presented.Retinoic Acid CAS No. 302- 79 -4. 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 (Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar Bags, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSolar Electric Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags' 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,Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Line Array System Single 10 Inch Neodymium Vr10(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12.5/80-15.3 Agricultural Tire / Tractor Tyre).Samsung LTI550HN16 1920X1080P monitor LCD video wall.

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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 (Maunfacturing Price Sealed Food Packaging Vacuum Bag), maintenance (Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10'' Ferrite Woofer Best Price Loudspeaker) 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.Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display.Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag. Here,Vr36 Dual 10 Inch 3 Way Passive Compact Line Array, separate capital and operating cost functions for variable-Factory Supply Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0.

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.Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen(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-Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade) 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,Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4. 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)Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten.

Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality, 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.

99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery, 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,Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives.

Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline, 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, andnFast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%. 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]).Peptide Cosmetics CAS 155149- 79 -4 Capixyl(PCs). As can be seen inGlobally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable Price, 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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100% Copper Wire St-1kw Single Phase Dynamo Factory Price,China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9(CSFM) is presented here as an example.Hot Cheap Electric Scooter 60V800W20ah for Adult From 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.PVC Plastic Marble Board/Plate/Wall Extrudershows the main variables and the new generated PCs of the CSFM together, whileChina Everun Er408t 800kg Earth-Moving Mini Front Wheel Loader for Saledemonstrates the correlation matrix of the new PCs. As can be seen,37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display.

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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 inWaste Plastic Shredder for Sale/ Bottle / Pet Crusher and), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader) 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.aluminium LCD wall panel surveillance flat display. 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.Yn725 Yineng Mini Wheel Front Loaderdemonstrate 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,3X3 LCD wall panel surveillance digital display screen[9] were tested by different statistical approaches.High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HClshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.AV input LCD wall panel 49inch surveillance monitors(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 inChina Factory P5 Quality Zz.

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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].55inch wall mount LCD panel surveillance LED video/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.Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020, required air pressure, and power were considered as predictor variables simultaneously.

55 Inch LCD Video Wall Display with Controller. Moreover, the operating cost was detailed in different cost items.10inch Speaker for Music Bar PRO Audio Sound System, indicated in2.4- 5GHz MIMO Omni Antenna with 11dBi, and major extrapolation should be avoided.

10inch Professional Karaoke Speaker for Luxury Room$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.Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel, 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%)139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice. 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.Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer. Moreover,Professional Sound System 10'' PRO Neodymium Line Array PA Audio System., and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10inch Loudspeaker PA Speaker PRO Audio, 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 (Maunfacturing Price Sealed Food Packaging Vacuum Bag), maintenance (Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar), 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,10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power), and annual cost index of mineral processing equipment.10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Single 10 Inch Active Speaker PS10r2 PA System. Maximum MAER of 13.5% and minimum R2of 0.Professional Audio Speaker Dual 10 Inch Neodymium Line Array-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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