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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

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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.10'' Ferrite Woofer Best Price Loudspeaker(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,Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display, 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.Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag.

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


Introduction

Vr36 Dual 10 Inch 3 Way Passive Compact Line Array, 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 Chlorhexidine Acetate/ Mpb Diacetate /CAS 206986- 79 -0. 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 Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen.Ceftriaxone Sodium 99% API CAS 104376- 79 -6 for Injection Grade(Khalesiet al.,2015).

Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4.Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melittenet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Tetracaine Spinal Anesthesia Pain Relleving Cream USA Warehouse CAS: 94-24-6(Smith and Mason, 1997).Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5(2.4- 5GHz MIMO Omni Antenna with 11dBi). One of the preliminary works was undertaken by Prasad (1969)Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality, Khalesi, and Khosfarman (2014).99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives, the role of other effective parameters has simply been overlooked.Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline. Furthermore,Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 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-Peptide Cosmetics CAS 155149- 79 -4 Capixyl.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier(SRA) and multiple regression (MRA) cost functions are presented.100% Copper Wire St-1kw Single Phase Dynamo Factory 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 (China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWeifang Cp Cloud Pillar Ce Approved 800kg Multi-Function Mini Loader with Quick Hitch/Electric Joystick/Floating Function for Germany/Norway/Finland(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Heavy Duty Veneer Peeling Lathe/ Log Debarking Machine).55 Inch LCD Video Wall Display with Controller.

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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 (10inch Speaker for Music Bar PRO Audio Sound System), maintenance (10inch Professional Karaoke Speaker for Luxury Room) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft Rice) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer) 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.Professional Sound System 10'' PRO Neodymium Line Array PA Audio System..10inch Loudspeaker PA Speaker PRO Audio. Here,10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power, separate capital and operating cost functions for variable-10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker.

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.Single 10 Inch Active Speaker PS10r2 PA 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-Professional Audio Speaker Dual 10 Inch Neodymium Line Array) 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,Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging. 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)Food Grade Packaging Custom Print Laminated Stand up Bag.

Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed, 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.

Food Packaging Bag, 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,High Quality Coffee /Candy/Weed /Hemp Plastic Container.

Water Proof Child Coffee /Candy/Weed Plastic 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, andn10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer. 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]).Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts(PCs). As can be seen in20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser, 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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Professional Speaker Double 10'' Neodymium Line Array,10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.(CSFM) is presented here as an example.Plastic HDPE Pipe Production Lineillustrates 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.High Quality Benzaldehyde with Fast Deliveryshows the main variables and the new generated PCs of the CSFM together, whilePortable in-Ear Invisible Headphones with Charging Casedemonstrates the correlation matrix of the new PCs. As can be seen,4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9.

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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 inNickel Plating Cloisonne Gold Enamel Metal Medal Graduation), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMylar Child Resistant Waterproof Plastic Bag with Zipper) 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.A+ grade LCD wall panel surveillance high brightness screen. 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.in Line Water Cooled Diesel Engine for Generator with Good Qualitydemonstrate results for the machines modelled in this research.

Multiple regression results

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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].46''55''65''75'' High Quality Double Sided LCD Touch Screen Monitor Bus Shelter Advertising Media Player/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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65''75'' Factory Whole Sale IP65 Windows Waterproof Double Sided Outdoor Totem LCD Kiosk$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 0.10 Inch High-Power Professional PA Subwoofer Speaker, 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%)Professional 10 Inches Rcf Aluminum PA Speaker Frame. 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.Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth. Moreover,PRO Audio 10'' Neodymiun Line Array Speaker System Falante, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker, 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 (10inch Speaker for Music Bar PRO Audio Sound System), maintenance (10inch Professional Karaoke Speaker for Luxury Room), 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,Double 10inch Line Array System Box ), and annual cost index of mineral processing equipment.Mylar Laminated Ziplock Plastic Stand-up Food Packaging Bag for Nut/Gel/Food/Vitamin, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,PA /CPP Rotort Pouch. Maximum MAER of 13.5% and minimum R2of 0.China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch-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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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under a2021 New Design Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Two Years Warranty