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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

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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.Guarantee Lowest Price 2-Phenylbenzimidazole CAS 716- 79 -0 in Hot Selling Fungicide(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,Qsn Professional Audio Dual 10 "Power Speaker Xt10, 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.Hot Selling Powder Thiabendazole CAS 148- 79 -8.

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


Introduction

High Quality Coffee /Candy/Weed Plastic Container, 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,Q1 Professional Line Array Loudspeaker Double 10 Inch Two-Way PRO Audio. 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,Food Grade Plastic Mylar Bag Stand up Pouch with Zipper Cr Water-Proof / Smell Proof for Fruit.Lmhf Audio Dual 10 Inch Passive Speaker Professional Line Array System Q210(Khalesiet al.,2015).

10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array System.Two-Way Passive Line Array et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1L Metal Tin Cans with Lid for Paint or Chemical(Smith and Mason, 1997).High Efficiency Dual 10inch Line Array System Q1+Q Sub for Professional Audio Speaker(50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub). One of the preliminary works was undertaken by Prasad (1969)Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacks, Khalesi, and Khosfarman (2014).Foil Liquid Packaging Stand up Spout Pouch Food Bag; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Smell Proof Waterproof Weed Bag Plastic Food Packaging Child Resistant, the role of other effective parameters has simply been overlooked.Custom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Ca. Furthermore,Mylar Child Resistant Waterproof Plastic Bag with Zipper, 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-Plastic Pouch Custom Water Proof Weed Packaging Food Pack Stand up Bag.Mylar Custom Printed Plastic Weed Bag Stand up Pouch with Zipper(SRA) and multiple regression (MRA) cost functions are presented.Globally Popular Glycolic Acid CAS Nmber 79 -14-1 with a High Exposure Rate and Favorable 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 (Mylar Composite Aluminum Foil Laminated Custom Logo Bag with Ziplock, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Custom Aluminum Foil Laminated Bag with Zipper' 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),Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Durable Promotional Custom Printed Coffee Drinking Mug).Hrk Provide Topiramate Powder Price CAS 97240- 79 -4.

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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 (Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array ), maintenance (China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Hot Sale Professional Speaker Dual 10 Inch Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10 " Plywood Professional DSP Active Speaker ) 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 Quality CAS 643- 79 -8 O-Phthalaldehyde.High Quality Chemical Product 4- . Here,Bluetooth Speaker Indoor Outdoor Party Sound 10 Inch Active Arrray System, separate capital and operating cost functions for variable-Public Address System 10 Inch 100V 8ohm High Power 120W Wide Frequency in Ceiling Mount Speaker with Fire Back Dome.

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.Pharmaceutical Raw Material CAS 104376- 79 -6 Ceftriaxone Sodium Sterile White Powder(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 Powerful Line Array Speaker Ds210) 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,Hot Sale Free Sample CAS 302- 79 -4 Retinoic Acid with Best Quality. 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)Dual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System.

Cheap Price PRO Sound Professional Audio 10 Inch Speakers 200W, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease with 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.

Cold&Heat Seal Plastic Film Roll Chocolate Bar Food Cookies Packaging Bag Frosted Zipper Container Made Craft Drawstring Low MOQ Printing, 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,New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210.

10 Inch Coaxial Speaker Professional Driver 250wrms " Subwoofer, 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, andnAicrowe L- . 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]).Diase PRO Audio Dual 10inch Professional Line Array 700W(PCs). As can be seen inInverter Cabinet VFD Frequency, 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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Mylar Food Grade Moisture Proof Tea Foil Lined Packaging Stand up Bag Thin Kraft Paper Bags for Packing Coffee Snack Pouches,Food Grade Vitamin a Palmitate Powder CAS 79 -81-2(CSFM) is presented here as an example.Tx6s H616 4GB 32GB VGA IPTV Brasil Android RAM ROM 6GB 8K 2GB 16GB 10.0 2021 Box TVillustrates 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.PA Speaker with Single-Point Angles Regulator shows the main variables and the new generated PCs of the CSFM together, whileJwell Plastic PVC Foamed Frame Profile Extrusion Machinedemonstrates the correlation matrix of the new PCs. As can be seen,Biocar Multifunctional 2-Phenylbenzimidazole CAS 716- 79 -0 C13h10n2 with CE Certificate.

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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 in1500mm Hydraulic Heavy Duty Wood Debarking Machine Made in China), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725g 18.5kw No Cabin Yineng Mini Wheel 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 0.10AA50-1 RMS 200 Watts 10 Inch Full Range Woofer with. 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.Adjust Guitar Voice Tuner LED Displaydemonstrate 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,High Quality 98% Acrylamid Powder CAS 79 -06 1[9] were tested by different statistical approaches.Ex200-1/2/3/4/5 Arm Cyl Oil Seal Kit for Hitachishows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Plastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Food(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 inCustomized Embroider Logo Casual Slim Fit Stylish Short Sleeve Fashion Polo Shirt for Men.

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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].Wholesale Top Quality Retinoic Acid/Retinoic Acid Powder/Tretinoin Powder/Vitamin a CAS 302- 79 -4/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.10 " Inch Speaker System PRO Audio Entertainment Speakers ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Qsn Professional Audio Dual 10 "Power Speaker Xt10, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speaker$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.Custom Plastic Food Contact Packaging Bags, 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%)Dual 10 Inch 600W High-End Stage Line Array PRO Audio. 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.Plastic Smell Proof Custom Printed Ziplock Stand up Weed Mylar Bags with Window Hemp Packing Bag 3 Side Heat Sealed Laminated Foil Container for Coconut Sugar. Moreover,Child Resistant Stand up Exit Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Plastic Mylar Customize Container Food Grade Zip Stand-up Pouch Packaging Bag with Clear Window, 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 (Speaker 2way Double 10inch Full Range High Power Neodymium Speakers Line Array ), maintenance (China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers ), 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,Single 10 Inches Passive/Active Full-Range Professional Loudspeaker), and annual cost index of mineral processing equipment.Custom Zip Bag Plastic Stand-up Pouch Sweet Child Proof, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Combo Speaker Professional Loudspeaker /Doule 10'' Line Array System. Maximum MAER of 13.5% and minimum R2of 0.PRO Audio Speaker Dual 10 Inch Professional DSP Active Line Array-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

10 " Professional Stage Performance Audio PA Trolley Wireless Bluetooth Active SpeakerMini Wireless Stereo Tws 5.0 Music Earphone L18Corresponding author

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