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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

139g Stand up Pouch Bag with Clear Window Paper for Coffee Bean Kraft RiceCost modelling for flotation machines

S. Arfania; A.R.Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%Bloom Tech API Ceftriaxone Sodium 104376- 79 -6; 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.Professional Sound Speaker Dual 10 Inch 3 Way Passive Line Array 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,LG 46" 49" 55" DVI LED video panel for monitoring, 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.Retinoic Acid CAS No. 302- 79 -4.

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


Introduction

Customized Printed 3.5g/1oz Weed Herb Packaging Smell Child Proof Bag with Ziplock Matte Black Resealable Aluminum Foil Mylar 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,Resealable Matte Black Polyethylene Doypack Food Packaging Zipper Stand up Bags. 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,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(Khalesiet al.,2015).

Professional Line Array Speaker Single 10 Inch Full Range System.Aluminium Foil Zip Lock Food Packaging Bag Manufacturer Plasticet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 55% Rubber Content Tyre China High Quality Motorcycle Tires 2.75- 17(Smith and Mason, 1997).Coaxial Single 10inch Professional Surround Speaker Two-Way Cinema Hall 250W with PC10190808(China 250cc New 3 Wheel Motorcycle Motor Tricycle). One of the preliminary works was undertaken by Prasad (1969)96dB 250W AES Professional Full Range Two-Way Speaker Sinlge 10inch KTV Disco Occasion System with Ks10190902, Khalesi, and Khosfarman (2014).Professional Line Array System Single 10 Inch Neodymium Vr10; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Samsung LTI550HN16 1920X1080P monitor LCD video wall, the role of other effective parameters has simply been overlooked.Maunfacturing Price Sealed Food Packaging Vacuum Bag. Furthermore,Custom Printed Heat Seal Aluminum Plastic Cat Food Packaging Bag Child Resistant Mylar, 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-Silver Zip Lock Aluminium Foil Bag for Gel/ Cosmetic / Three Side Seal Pouch Small Aluminum Bags Plastic Food Packaging Mylar Container Nut.Wholesale Colorful Customize Printing Food Grade Water Proof Skin Patches Small Aluminum Foil Packing Bags with Zip Lock(SRA) and multiple regression (MRA) cost functions are presented.10'' Ferrite Woofer Best Price Loudspeaker. 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 (Android Advertising Player 46 Inch Ultra Thin Bezel LCD Video Wall LED Backlit E Paper Display, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Supply BMK Powder Glycidate CAS: 5413-05-8(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Amazon Best Sell Custom Clears Silver Aluminum Foil Mylar Ziplock Stand up Pouch Bag' 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,Pharmaceutical Powder Vitamin a Acid /Retinoic Acid/ Tretinoin for Skin CAS 302- 79 -4

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New Cheap Muscle Vibration Massage Gun Mini Theragun Massager).Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality.

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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% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery), maintenance (Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Peptide Cosmetics CAS 155149- 79 -4 Capixyl) 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.China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier.100% Copper Wire St-1kw Single Phase Dynamo Factory Price. Here,China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9, separate capital and operating cost functions for variable-37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display.

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.49" 450nits LG panel advertising LCD screen (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-aluminium LCD wall panel surveillance flat display) 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,3X3 LCD wall panel surveillance digital display screen. 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)AV input LCD wall panel 49inch surveillance monitors.

LG panel 49" advertising rack , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (55inch wall mount LCD panel surveillance LED video, 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.

Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn, 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,55 Inch LCD Video Wall Display with Controller.

10inch Speaker for Music Bar PRO Audio Sound System, 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, andn10inch Professional Karaoke Speaker for Luxury Room. 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]).Samsung 55inch 3X3 Digital Signage Display Screen 3.5mm Narrow Bezel(PCs). As can be seen inLaswim Endless Pool/Counter Flow Pool, 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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Local Anesthetic Cinchocaine CAS85- 79 -0 for Pain Killer,Professional Sound System 10'' PRO Neodymium Line Array PA Audio System.(CSFM) is presented here as an example.Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Containerillustrates 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.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chipshows the main variables and the new generated PCs of the CSFM together, whileChina Energy Saving AC Water Pump Inverter 3pH Cabinet VFD with High Qualitydemonstrates the correlation matrix of the new PCs. As can be seen,10inch Loudspeaker PA Speaker PRO Audio.

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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 inNew Type Children Toys Series Plastic for Promotion), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode) 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 0.10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer Speaker. 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.Professional Audio Speaker Double 10 Inch Line Array demonstrate 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,Single 10 Inch Active Speaker PS10r2 PA System[9] were tested by different statistical approaches.Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional Audio Speaker Dual 10 Inch Neodymium Line Array(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 inVeneer Peeling Machine for Wood Processing Rotary and Cutting Plywood Combined Lathe.

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Cost model for variable-Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging

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].Food Grade Packaging Custom Print Laminated Stand up 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.Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,LG 46" 49" 55" DVI LED video panel for monitoring, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality Coffee /Candy/Weed /Hemp Plastic 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.Water Proof Child Coffee /Candy/Weed Plastic Container, 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%)10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer. 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.Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts. Moreover,Donbn Dz- 10 Two Way Full Range Professional KTV Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Speaker Double 10'' Neodymium Line Array, 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% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery), maintenance (Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives), 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'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio.), and annual cost index of mineral processing equipment.4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,55" HD 1080P Commercial LED Screen Video Wall LCD Display. Maximum MAER of 13.5% and minimum R2of 0.A+ grade LCD wall panel surveillance high brightness screen-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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