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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.Recycle Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Manufacturers(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,Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag, 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.Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker.

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


Introduction

Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers, 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,Cheap Stage Speaker Design for PA System 200W. 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,Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder.Line Arrays Speaker Dual 10 Inch Powered Sound system(Khalesiet al.,2015).

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 Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ytd-Dih25 IGBT Automatic Induction Heating Machine(Smith and Mason, 1997).Top Quality Pharmaceutical Chemical 2-Phenylbenzimidazole CAS 716- 79 -0 Prevent Plant Diseases with Good Price(Scarlet/ Violet / Purple/ Golden/Green Pigment Paste). One of the preliminary works was undertaken by Prasad (1969)Packaging Bag Customized Hot Stamping Printed Bags with Your Own Logo or Design MOQ 1, Khalesi, and Khosfarman (2014).Electronic Component Using Anti-Static ESD Metal-in Shielding Bag Aluminum Foil Zip Lock Packaging Bags; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Factory Supply CAS 79 // 03 //8 Safe Shipment High Purity, the role of other effective parameters has simply been overlooked.Suking Hot Selling Chemical Product . Furthermore,CAS 9005- 79 -2 Factory Price Cosmetic/Food Grade Aloe Vera Extract Bulk Glycogen 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-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.Pharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7(SRA) and multiple regression (MRA) cost functions are presented.Food Packaging Bag. 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 (B&C Kas 10 Inch Subwoofer Sound System Line Array Box Bass PRO Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLow Price 4(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PRO Audio Double 10 Inch Line Array Speaker Professional Outdoor PA System' 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,Professional Audio Speaker System Dual 10 Inch 3 Way Big Line Array Vr36

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PS10 Professional Sound System 10inch Audio Speaker Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (12V Car Rat Rodent Ultrasonic Electronic Mouse Repellent Vehicle).Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone.

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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 (Dare 10inch Passive Line Array Sound System), maintenance (Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (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) 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.High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3.Manufacturer Supply 1. Here,Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People, separate capital and operating cost functions for variable-99% Glycolic Acid Powder CAS 79 -14-1.

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.5f-Pcn CAS No. 1445579- 79 -2 in Stock(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-Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde) 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,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate . 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)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.

Line Array 10'' Neodymiun PRO Audio Woofer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Diesel Engine Parts Fuel Injection Nozzle 160sn529, 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.

CAS: 702- 79 -4; 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,Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine.

Professional Audio Speaker Dual 10 Inch 3 Way Line Array 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, andnLoudspeaker 10'' Midrange & Bass. 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]).Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10(PCs). As can be seen in17.5X6.75 Heavy Duty Truck Trailer Steel Wheel Rim, 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.Diesel Engine Parts Fuel Injection Nozzle Dlla155p274shows the main variables and the new generated PCs of the CSFM together, whileOEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20Wdemonstrates the correlation matrix of the new PCs. As can be seen,China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask.

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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 inNail Art Beauty Soakoff Strong Adhesive UV Gel Polish), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAlcohol Soluble Polyamide Resin for Printing Ink) 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 0.100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container. 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.L55 Best Android High Quality Firmware Update Google Certifed Set Top Japanese Free Streaming Japan Smart TV Boxdemonstrate results for the machines modelled in this research.

Multiple regression results

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Cost model for variable-Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed

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].Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container 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.PRO Audio Speaker Dual 10 " Line Array; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Custom Printing Mylar Bio Child Proof Stand up Pouch Plastic Food Grade Packaging Bag, required air pressure, and power were considered as predictor variables simultaneously.

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Multi-Function 10 " Passive Full Range DJ Stage Speaker 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.Custom Printing Food Packaging Plastic Bags with Resealable Zipper, 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 HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth. 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.Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System.. Moreover,100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant 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 (Dare 10inch Passive Line Array Sound System), maintenance (Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag), 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,Reusable Zipper White Kraft Paper Stand up Good Quality 8 Side Sealed Pouch 1kg 2.5kg Coffee Bag with Valve Aluminum Foil Mylar Plastic Food Packaging), and annual cost index of mineral processing equipment.Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Plastic Exit Storage Weed Hemp Cigar Container. Maximum MAER of 13.5% and minimum R2of 0.Custom Cat Food Bags-feasibility and even feasibility study level of projects.

References

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Khalesi, M. R., Zarei, M. J.,Q1 Dual 10'' Line Array System for Indoor Outdoor Stage Performance, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin.Minerals Engineering,vol. 81. pp. 103-108.         [Speaker System High Power H3]

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Lashgari, A.Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, A.R. 2013.China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price,High Quality 99% L-Pyroglutamic Acid ,vol. 23. pp. 441-446.         [Good Price SMD3528 Flexible LED Strip Light]

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Mular, A.L. 1982.Supply High Quality L-Lactic Acid with CAS 79 -33-4.Lanosterol 79 -63-0 .Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, Montreal. 265 pp.         [High Quality Opa O-Phthalaldehyde with Best Price]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price.High Purity Retinol Palmitate Powder.Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, Montreal. 319 pp.         [1L Printed Round Metal Paint Tin Can with Lid]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Hot Sale Dual 10 " Speaker PRO Audio .Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Truck Rim Steel Polished 17.5 Inch Wheel]

Noakes, M. and Lanz, T. 1993.GMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price.Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%, Carlton, victoria. 412 pp.         [1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [High Quality Piston Pulsator Hookup Dairy Farm Milker Oilfree Vacuum Pump]

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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader]

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Diesel Engine Parts Fuel Injection Nozzle 160sn529, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc]

Diesel Engine Parts Fuel Injection Nozzle 160sn529, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385.         [Linyi Plywood Core Veneer Peeling Machine Supplier]

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USBM. 1987.10 Inch Powered PA Speaker Full Range Stereo System,Wholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Water Backpack with 2L Bladder Lightweight Hiking Hydration Vest Bag Pack]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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