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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

GENERAL PAPERS

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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.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistant(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,Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin, 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.Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4.

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


Introduction

Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, 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,China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price. 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,High Quality 99% L-Pyroglutamic Acid .Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price(Khalesiet al.,2015).

Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7.Supply High Quality L-Lactic Acid with CAS 79 -33-4et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Ziplock Dog Food Bag with Bottom Gusset(Smith and Mason, 1997).Lanosterol 79 -63-0 (50W LED Bulb Marking). One of the preliminary works was undertaken by Prasad (1969)Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9, Khalesi, and Khosfarman (2014).99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Purity Retinol Palmitate Powder, the role of other effective parameters has simply been overlooked.Hot Sale Dual 10 " Speaker PRO Audio . Furthermore,GMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a 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-Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%.China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -0(SRA) and multiple regression (MRA) cost functions are presented.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. 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 (Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Purity and Good Price Glycolic Acid ' 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,Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3X3 video wall LCD HD 1080P digital display screen, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Food Saver High Transparent Vacuum Plastic Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Acrylic LED Neon Open Sign Letters in Stars Shape).Cvr 2021 New 10'' Line Array Professional.

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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 (10'' Red Steel Woofer), maintenance (Single 10 Inch Two Way Professional Passive Coaxial Monitor Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Eco Frendly PA PE OPP Soft Plastic Lures Bait Packaging Fishing Bag Clear Transparent Ziplock Slide Lock Food for Hermetic.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Waterproof Outdoor Dual 10 " Line Array) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Aluminum Foil Self Sealing Digital Plastic Packaging Bag Glossy Holographic Stand up Clear Front Laser Film Food with Zipper) 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.Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container.PRO Audio Powered Line Array Tw- 10 Outdoor Speaker. Here,Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container, separate capital and operating cost functions for variable-Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder.

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.V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker(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-Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub) 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,Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee. 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)Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate.

Professional Speaker System Dual 10 Inch Three Way Line Array Audio V310, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show, 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.

Outdoor Speaker Dual 10 Inch Line Array, 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,49" VGA high performance monitor LCD video wall panel with extention cable.

LG LD490DUN-TJB2 LCD wall mount video with 2X2 panel, 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, andnHigh Quality Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price Acid Glycolic. 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]).1.8mm ultra narrow bezel 16: 9 LED TV video wall for home(PCs). As can be seen in2021 Hot Sale Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater, 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.Retro Scootersshows the main variables and the new generated PCs of the CSFM together, whileGlossy & Matte Plastic Flat Bag Three Side Sealing Aluminum Foil with Tear Notch &Ziplock Silver Food Packaging Pouch for Food&Hemp&Tea Smell Resistantdemonstrates the correlation matrix of the new PCs. As can be seen,Transparent Flat Bottom Box Pouch Stand up Zip Lock Bag Eight Sides Seal Side Gusset Standing Plastic Coffee Bean Three-Side Sealed Packaging.

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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 inLED Garden Light Lamp IP66 Soalr Adjustable Spotlight Solar), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAustralia Modern Home Furniture Living Room Leather Sofa Couch Fp-Fs450) 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.Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy. 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.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoordemonstrate 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,L10/83254 Parlante Professional Sonido Neodymium Woofer Speaker 10 " 250W[9] were tested by different statistical approaches.10 Inch 2 Ways Self-Powered Active Column Speaker Box Line Array Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Prfessional Audio 10''karaoke Loudspeaker(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 inMulti- Storey Construction Design Prefabricated Steel Structure Warehouse.

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Cost model for variable-10 Inch KTV System Woofer

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].Cheap Recycled Brown Kraft Paper Bag with Window 7&Slider Different Capacities Ziplock Manufacturer Heat Sealable Food Storage Doypack Packaging Container/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.Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pharmaceutical Intermediate High Purity Peptides CAS 113- 79 -1 Argpressin Acetate Argipressin, required air pressure, and power were considered as predictor variables simultaneously.

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99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9$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.Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet, 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%)50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub. 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.50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging. Moreover,Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives, 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 (10'' Red Steel Woofer), maintenance (Single 10 Inch Two Way Professional Passive Coaxial Monitor 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,Thiosemicarbazide CAS 79 -19-6), and annual cost index of mineral processing equipment.O-Phthalaldehyde CAS 643- 79 -8, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers.1-Bromo-3,vol. 46, no.6. pp. 559-562.         [Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies]

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INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS]

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Khalesi, M. R., Zarei, M. J.,Buy Sugammadex Sodium CAS 343306- 79 -6 From Manufacturer, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Low Price 4.Minerals Engineering,vol. 81. pp. 103-108.         [10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.High Purity CAS 64318- 79 -2 Gemeprost, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Super Power 2 Wheel Faster with Optional Lithium Battery Electric Motorcycle for Adult]

Lashgari, A.Ziplock Dog Food Bag with Bottom Gusset, A.R. 2013.High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1,Custom Printed Food Grade Ziplock Packing Bag,vol. 23. pp. 441-446.         [Long Lasting Scent Perfume Samples with Good]

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Mular, A.L. 1982.Plastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie.Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag.China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear, Montreal. 265 pp.         [250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.10 Active Full Range Stage Sound Loud Speaker System Audio.Two Way 10 " Mini Portable PRO Audio Active Loudspeaker PS10.China Manufacture Poly Zipper Food Packaging Plastic Pouch Bags for Soup Eco Friendly Corn Starch Ziplock Stand Up100% Compostable Biodegradable Clear, Montreal. 319 pp.         [Factory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components]

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Noakes, M. and Lanz, T. 1993.Dual 10 " Two Way PA Power Line Array Speaker.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2, Carlton, victoria. 412 pp.         [Manufacturer of Rectangular Brake Oil Motor Engine Tin Can]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Single 10'' Two Way Line Array PRO Audio.vol. 1.Double 10 Inch Line Array PRO Audio , Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Coconut Shell Carbon Charcoal Making Machines Production Line]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCD.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [2021 New Machine Grade CO2 Laser Marking with a Discount]

Prasad, L. 1969.Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory, Metallurgy and Petroleum, Montreal. pp. 3-15.         [969 Solar 30kw 40kw on Grid Tie Power System for Factory Roof]

Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Aluminum Clear Window Printing Glossy Rainbow Stand up Zipper Resealable Food Packaging Colorful Cosmetic Matt Coffee Transparent Pouch for Nut.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Nitrogen 21% Crystal Shape Agriculture Fertilizer]

Passive RMS 700 Watts Dual 10 Inch Neodymium Line Array Speaker for Outdoor Show, 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.         [11r22.5 11r24.5 Truck Tires/Tyres for Steer Drive Trailer Tractor All Position Wheels]

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USBM. 1987.High Quality Oxytetracycline Powder 100% CAS 79 -57-2,CAS: 79 -44-7; Dimethylcarbamoyl Chloride;-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Handle Camera Pipe Inspection for Above DN300mm Diameter Pipes]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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