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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

OLED Intermediates 2-Cost modelling for flotation machines

S. Arfania; A.R.Retinol Palmitate/Vitamin a Palmitate Oil as Food IngredientJwell Plastic PVC Water Sewage/ Pressure& Electricity Conduit Pipe/Tube/ Window Profile/Sheet ; 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 24 Channels Digital Audio Mixer Console(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,100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, 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.Skin Care Raw Material Vitamin a Palmitate Powder.

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


Introduction

Lf Drivers 10 Inches Professional Speaker Pw1032-64, 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,12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial. 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,Made in China PA Speaker System Three Way Loudspeakers.Line Array Speaker Professional PA System Two Way Full Rang Passive (Khalesiet al.,2015).

Pyridinecas Number 110//86//1 Used as Chemical Reagent.Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMGet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5GHz 12dBi Dual Polarity MIMO Omni Antenna(Smith and Mason, 1997).P-Toluenesulfinic Acid Sodium Salt Hydrate (Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder). One of the preliminary works was undertaken by Prasad (1969)Bloom Tech Chemical Reagent Bis , Khalesi, and Khosfarman (2014).Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,CAS: 13463-67-7 Titanium Dioxide Powder, the role of other effective parameters has simply been overlooked.Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic. Furthermore,Factory Supply 99% Dexketoprofen Trometamol Powder, 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-10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box(SRA) and multiple regression (MRA) cost functions are presented.Feiyang New Hot Selling Trolley Speaker Fg210-06. 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 (V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PRO Audio PA System Digital Mixer' 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,Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Retinoic Acid CAS 302- 79 -4 in Stock, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (1360kw Open Type Power Diesel Generator Set Powered by Mtu Engine).ISO Certified 100% Natural L-Arginine Powder.

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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 Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1), maintenance (Chemical Reagent Bloom Tech 2) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Opa O-Phthalaldehyde with Best Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (KTV 10 Inch Speaker Box with Good Sound) 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.10 Inch Powered Line Array Speaker Active.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker. Here,Dual 10 Inch Line Aray Powered Active Sound System, separate capital and operating cost functions for variable-60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics.

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.Manufacturer Supply 1(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-Dual 10inch PA Audio Line Array Speaker Box System) 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,Dual 10 " 600W Line Array PA Professional Speaker . 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)10 " Dia Cast Aluminum Professional Subwoofer Basket.

Food Packaging Vacuum Pouch, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, 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.

L-Arginine 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,China Factory Price CAS 702- 79 -4 1.

CPP High Temperature Vacuum Retort Pouch, 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, andnFactory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin . 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]).High Temperature 3 Side Seal Retort Pouch for Corn(PCs). As can be seen inHot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycle, 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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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.125HP Elevator Inverter Price Electronics 220V 240V Three Phase Pumpshows the main variables and the new generated PCs of the CSFM together, whileYn725g Yineng Mini Front End Loaderdemonstrates the correlation matrix of the new PCs. As can be seen,Stand-up Ziplock Dried Food Packaging Vacuum Plastic Container.

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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 inCA6280B Precision Hobby Horizontal Metal Gap Bed Manual Lathe Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAnti-Wrinkle and Aging Chemical Raw Materials) 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.D&B Style Dual 10 Inch Compact Line Array . 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 Qualty Line Array Loudspeakerdemonstrate 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,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable[9] were tested by different statistical approaches.Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container(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 inWholesale OEM Private Label 15ml Color 003 Nail Gel Polish.

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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].Matte Black Food Packaging Stand-up Pouch Aluminum Foil 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.Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements, required air pressure, and power were considered as predictor variables simultaneously.

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Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64$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.Dual 10 Inch Line Array Speaker for Theater , 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%)Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker . 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.Dual 10 Inch Line Array for Church . Moreover,15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10'' Inch Ferrite Woofer, 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 Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1), maintenance (Chemical Reagent Bloom Tech 2), 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,V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker), and annual cost index of mineral processing equipment.Q1 Dual 10 " Line Array System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,D&B Style Dual 10 " Compact Line Array . Maximum MAER of 13.5% and minimum R2of 0.New Tw Audio Vera36 Dual 10 " Line Array Speaker System-feasibility and even feasibility study level of projects.

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USBM. 1987.Professional Stage Line Array System Dual 10 Inch DSP Active Speaker ,D&B Style Dual 10 " Professional Speaker Line Array -metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [CAS 10124-56-8 Sodium Hexametaphosphate with a High Exposure Rate and Favorable Price]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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