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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.O-Phthalaldehyde CAS 643- 79 -8(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,99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8, 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.Pharmaceutical Intermediate CAS 702- 79 -4 99% Pure 1.

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


Introduction

Dimethylthiotoluene Diamine, 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,Professional Digital Audio Line Array System Dual 10 Inch Active. 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,10 Inch Sound System Speaker Box China Line Array Audio Systems.Sulfasalazine CAS No. 599- 79 -1(Khalesiet al.,2015).

Double 10'' Compact Line Array.Karaoke System 10 Inch Sound Speaker Cvr Professional Audioet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Gy6 150cc Gas Scooter(Smith and Mason, 1997).2 X HDMI(970 Solar 30kw 40kw on Grid Tie Power System for Factory Roof). One of the preliminary works was undertaken by Prasad (1969)L10/83267-Professional Audio 10 Inch Coaxial Speaker, Khalesi, and Khosfarman (2014).Single 10 " Waterproof Polyurea Active Line Array Speaker Systems; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat Food Packaging Bag, the role of other effective parameters has simply been overlooked.Two-Way Single 10 " Professional Waterproof Speaker. Furthermore,Professional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply, 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-Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine.Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance(SRA) and multiple regression (MRA) cost functions are presented.Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers. 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 (Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5GHz 23dBi Enclosure WiFi Antenna(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker' 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,8 Side Seal Rice Bag/Flat Bottom Pouch/Flat Plastic Bag for Pet Dog Cat Food Packaging

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Dual 10inch 3 Way Professional Stage Line Array Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Keypad Standalone Single Door Access Control System).Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1.

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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 (Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags), maintenance (Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Suking Hot Selling Chemical Product .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen Powder) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Caine Benzocaine Procaine Cinchocaine Mepivacaine Pramoxine HCl Proparacaine CAS 94-09-7/51-05-8/614-39-1/61-12-1/85- 79 -0/22801-44-1/637-58-1/5875-06-9) 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.Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7.Food Packaging Bag. Here,B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker, separate capital and operating cost functions for variable-PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System.

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.Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags(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-Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery) 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,All Trans Retinoic Acid 99.5% 100g Bag High Crystal CAS: 302- 79 -4. 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)Line Array Speaker PRO Audio System 10'' Neodymium Loudspeaker.

Professional Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Line Array System Dual 10 Inch 3 Way Passive, 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.

PS10 Professional Sound System 10inch Audio Speaker Box, 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,Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone.

Dare 10inch Passive Line Array 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, andnPrinted Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag. 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]).Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags(PCs). As can be seen inLG LD550DUN-TKB1 video wall system with matrix switcher, 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.Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chipsshows the main variables and the new generated PCs of the CSFM together, whileKm3 Collective 4GB 64GB TV Box Google Certified ATVdemonstrates the correlation matrix of the new PCs. As can be seen,Manufacturer Supply 1.

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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 inStainless steel clamped small size butterfly valve with duck handle), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable 20Hz RF Face Lift Machine) 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 0.99% Glycolic Acid Powder CAS 79 -14-1. 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.Factory Supply 1 to 2 Male Female Y Branch Mc4 Solar Connector for off Grid Systemdemonstrate 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,5f-Pcn CAS No. 1445579- 79 -2 in Stock[9] were tested by different statistical approaches.X96 Air Amlogic S905X3 64-Bit Android 9.0 Ultra 4K 2g 16g Smart TV Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde(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 in55inch Capacitive Touch Screen Kiosk for Advertising Player.

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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].Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Plastic Pouch/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.Line Array 10'' Neodymiun PRO Audio Woofer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,99% Assay High Purity Ribociclib Succinate Pharmaceutical Chemical Powder with CAS 1374639- 79 -8, required air pressure, and power were considered as predictor variables simultaneously.

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Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine$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.Professional Audio Speaker Dual 10 Inch 3 Way Line Array System, 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%)Loudspeaker 10'' Midrange & Bass. 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.Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10. Moreover,Dual 10 " Hot Sales Q1 Line Array Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container, 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 (Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags), maintenance (Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity), 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,Customized Private Label Dropshipping Heat Sealing Stand up Pouch Zipper Plastic Food Packing Tea Bag Fashion Fine Aluminum Foil Matt Black for Coffee Clear), and annual cost index of mineral processing equipment.China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up. Maximum MAER of 13.5% and minimum R2of 0.100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth.Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System..100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil, Montreal. 265 pp.         [Chinese Brand New 258kw/1500rpm 12 Cylinder 4 Stroke Marine Diesel Engine ]

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Professional Line Array System Dual 10 Inch 3 Way Passive, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Customization Available Modern Popular Home Furniture Set Living Room Leather Sofa]

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USBM. 1987.High Quality 99% L-Pyroglutamic Acid ,Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [3D Car Wheel Alignment Machine Match Garage Aligner]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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