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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.ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing(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,Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System, 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 0.2021 New Compact 10 " Active Line Array Speaker Sound System.

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


Introduction

Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System, 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,PE Dog Food Pouch with Hole. 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,Dual 10 Inch Line Array for Concert Live Service .Professional Loudspeaker 10'' PRO Audio Speaker Passive Line Array System(Khalesiet al.,2015).

Double 10'' Compact Active Line Array.CAS: 13553- 79 -2; Rifamycin Set al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dual 10 " Compact Professional Line Array (Smith and Mason, 1997).PE/ PA /CPP Food Vacuum Packing Bag Plastic Grade(Professional Speaker Double 10'' Neodymium Line Array). One of the preliminary works was undertaken by Prasad (1969)Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99% with Best Price, Khalesi, and Khosfarman (2014).Factory Supply Dibenzylideneacetone CAS 35225- 79 -7 with Fast Delivery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% Purity 1-Bromo-3, the role of other effective parameters has simply been overlooked.Pharmaceutical Intermediate 1. Furthermore,CAS 643- 79 -8 O-Phthalaldehyde / Phthalaldehyde with Best Price, 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-Factory Supply  2-Phenylbenzimidazole  CAS 716- 79 -0 with Best Price.O-Phthalaldehyde CAS 643- 79 -8(SRA) and multiple regression (MRA) cost functions are presented.99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8. 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 (Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dimethylthiotoluene Diamine' 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,Karaoke System 10 Inch Sound Speaker Cvr Professional Audio

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2 X HDMI, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),L10/83267-Professional Audio 10 Inch Coaxial Speaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Polycrystalline Diamond Wire Drawing Dies).Single 10 " Waterproof Polyurea Active Line Array Speaker Systems.

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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 (Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag), maintenance (Two-Way Single 10 " Professional Waterproof Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance) 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.Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers.Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag. Here,Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker, separate capital and operating cost functions for variable-Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers.

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.Cheap Stage Speaker Design for PA System 200W(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-Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder) 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,Line Arrays Speaker Dual 10 Inch Powered Sound system. 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)8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging.

Dual 10inch 3 Way Professional Stage Line Array Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price, 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.

Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1, 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,Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags.

Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity, 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, andnSuking Hot Selling Chemical Product . 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]).CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder(PCs). As can be seen inDouble 12'' Passive/Active 2.5-Way Line Array Loudspeaker with Neodymium Components, 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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Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7,Food Packaging Bag(CSFM) is presented here as an example.KTV 10 Inch Speaker Box with Good Soundillustrates 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.Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kitshows the main variables and the new generated PCs of the CSFM together, while1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power Systemdemonstrates the correlation matrix of the new PCs. As can be seen,B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker.

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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 inChinese Professional PCD Diamond Polycrystalline Wire Drawing Dies), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price) 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.Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags. 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.Samsung LTI550HN16 1920X1080P screen monitor LCD video walldemonstrate 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,Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery[9] were tested by different statistical approaches.Construction Zl08f Mini Hydraulic Compact Front End Loader for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4(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 inNew Design Modern Wash Basin Bathroom Vanity for Hotel.

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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].Professional Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36/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.Professional Line Array System Dual 10 Inch 3 Way Passive; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Outdoor Dual 10 " Three Way Line Array Professional Audio Speaker System, required air pressure, and power were considered as predictor variables simultaneously.

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Dare 10inch Passive Line Array Sound System$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.Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag, 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%)Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags. 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.PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker. Moreover,Heat Seal Candy Snack Food Packaging Ny PE Pet Custom Plastic Stand up Pouch Doypack Free Design Rice Bottle Smell Proof Soft Touch Aluminum Vitamin Cookie Bag, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3, 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 (Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag), maintenance (Two-Way Single 10 " Professional Waterproof Speaker), 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,Manufacturer Supply 1), and annual cost index of mineral processing equipment.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,99% Glycolic Acid Powder CAS 79 -14-1. Maximum MAER of 13.5% and minimum R2of 0.5f-Pcn CAS No. 1445579- 79 -2 in Stock-feasibility and even feasibility study level of projects.

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Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-PRO Audio 10'' Ferrite Woofer Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Fractional RF & Thermal Beauty MachineMimo Antenna 13dBi CPECorresponding author

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