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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
Quadrant Stainless Steel Corner Shower Enclosure for Hotel with Customized Size and ColorCost modelling for flotation machines
S. Arfania; A.R.PS10 Professional Sound System 10inch Audio Speaker Box959 33kw on Grid Solar Home System with Power Inverter; 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.Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone(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,Dare 10inch Passive Line Array Sound 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.Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags, 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,PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker. 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,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.High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3(Khalesiet al.,2015).
Manufacturer Supply 1.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 Peopleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for EEC Efi Racing Motorbike Motorcycles 125cc(Smith and Mason, 1997).99% Glycolic Acid Powder CAS 79 -14-1(Sofa PVC Leather 2021). One of the preliminary works was undertaken by Prasad (1969)5f-Pcn CAS No. 1445579- 79 -2 in Stock, Khalesi, and Khosfarman (2014).Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate , the role of other effective parameters has simply been overlooked.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. Furthermore,Line Array 10'' Neodymiun PRO Audio Woofer, 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-Diesel Engine Parts Fuel Injection Nozzle 160sn529.CAS: 702- 79 -4; 1(SRA) and multiple regression (MRA) cost functions are presented.Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine. 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 (Professional Audio Speaker Dual 10 Inch 3 Way Line Array System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Small Metal Tin Can with Open Top Lid for Lubricant(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Loudspeaker 10'' Midrange & Bass' 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,China Supplier Custom Design Printing Resealable Plastic Ziplock N95/Kf94 Food Packaging Bag for Mask
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Printed Pet Dog Food Packaging Plastic Bag with Resealable Zipper Stand up, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Custom Logo Longsleeve Black Sweatshirts Men Women Kids).Custom 1g 3.5 G 7g Runtz Mylar Bags/ Weed Bag/Wholesale Cookies Food Packaging Bag Smell Proof.
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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 (Professional Stage Line Array System Dual 10'' Speaker), maintenance (Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (PRO Audio Speaker Dual 10 " Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10 " PRO Audio Line Array Speaker System) 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.PRO Audio 10'' Ferrite Woofer Speaker.Multi-Function 10 " Passive Full Range DJ Stage Speaker System. Here,Custom Printing Food Packaging Plastic Bags with Resealable Zipper, separate capital and operating cost functions for variable-10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth.
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.Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for System.(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-100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil) 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,8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container. 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)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.
Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (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, 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.
Custom Cat Food Bags, 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,Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer.
Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant, 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, andnPharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin. 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]).Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4(PCs). As can be seen inGt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar, 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.150cc Gy6 Engine Gasoline Scootershows the main variables and the new generated PCs of the CSFM together, whileThree Wheel Motor Tricycle Rickshaw Rear Axledemonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price.
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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 inNatural Clear Crystal Builder Cover Nail Extend UV LED Acrylic Poly Gel), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromMimo Antenna 13dBi CPE) 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.Supply High Quality L-Lactic Acid with CAS 79 -33-4. 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.Duroheater Dh- 25kw Handheld Induction Heating Machinedemonstrate 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,Lanosterol 79 -63-0 [9] were tested by different statistical approaches.Full Size 150cc Go Kart shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9(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 inCold-drawn wire Swch10A for the production of rivets and screws.
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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].High Purity Retinol Palmitate Powder/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.Hot Sale Dual 10 " Speaker PRO Audio ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Dare 10inch Passive Line Array Sound System, required air pressure, and power were considered as predictor variables simultaneously.
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China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0$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.Plastic Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch, 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 Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System. 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.High Purity and Good Price Glycolic Acid . Moreover,Heat Seal Sugar Fruit Salt Food Packaging Aluminum Foil Mylar Spice Bags Transparent Clear Stand up Zip Lock Resealable Beef Nuts Rice Coffee Cereal Tea Pouch, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag, 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 (Professional Stage Line Array System Dual 10'' Speaker), maintenance (Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed), 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,10 Inch Powered PA Speaker Full Range Stereo System), and annual cost index of mineral processing equipment.Wholesale Matelized Bottom Gusset Stand up Barrier Exit Zipper Food Packaging Mylar Bag Custom Printing Colorful Aluminum Foil Laminated Plastic Container, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag. Maximum MAER of 13.5% and minimum R2of 0.3X3 video wall LCD HD 1080P digital display screen-feasibility and even feasibility study level of projects.
References
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Khalesi, M. R., Zarei, M. J.,PS10 Professional Sound System 10inch Audio Speaker Box, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-10'' Red Steel Woofer.Minerals Engineering,vol. 81. pp. 103-108. [Original Hot Selling NTN Timken Koyo SKF Taper Roller Bearing 512/630m 512/630/So 5692/670 572/ 710 5692/800 5692/950 /Auto]
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Lashgari, A.Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic, A.R. 2013.Waterproof Outdoor Dual 10 " Line Array,Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper,vol. 23. pp. 441-446. [Double Layer Stainless Steel Water Vacuum Sealed Mug Cup 30oz 20oz 14oz Thermos Thermal Tumbler]
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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container,vol. 115. pp. 789-797. [Electric Scooter/ Motorcycle/TM-Monya]
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Mular, A.L. 1982.Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder.V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker, Montreal. 265 pp. [Pharmaceutical Chemical 1-Hydroxypyrene CAS 5315- 79 -7]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub.Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee.V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker, Montreal. 319 pp. [Factory Wholesale Price Industrial Induction Vacuum Furnace]
Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575. [Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching]
Noakes, M. and Lanz, T. 1993.Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310.Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show, Carlton, victoria. 412 pp. [Agricultural Machine Small Wheel Loader Mini780 with CE Certificate]
O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89. [China Customized Drilled ND and PCD Die /Polycrystalline Supported Wire Drawing /Supported Diamond Mold]
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Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel.Minerals Engineering,vol. 5, no. 8. pp. 883-893. [High Quality 99% L-Pyroglutamic Acid ]
Prasad, L. 1969.High Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic.1.8mm ultra narrow bezel 16: 9 LED TV video wall for home, Metallurgy and Petroleum, Montreal. pp. 3-15. [3kwh LiFePO4 Battery with 5 Years Warranty]
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, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-wall mount 16: 9 LCD screen video for big project.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [12kw Grid Tied Solar System]
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, 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. [Mud Terrain M/T SUV Tyre Lt285/70r17 Lt325/60r18 Lt285/65r18]
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USBM. 1987.aluminium video wall LCD HD 1080P flat panel display,LG LD550DUN-TKB1 video wall system with matrix switcher-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp. [Fan-Shaped Best Ultra Thin Softcare Sanitary Pad for Overnight Use]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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