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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.Kas Professional Dual 15 Inch Subwoofer 10 Line Array Speaker(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 Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers, 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.Cheap Stage Speaker Design for PA System 200W.

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


Introduction

Pharmaceutical Raw Material CAS 15307- 79 -6 Diclofenac Sodium Powder, 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,Line Arrays Speaker Dual 10 Inch Powered Sound system. 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,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(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Food Packaging Bag Manufacturer Kraft Paper / Matte Glossy Finish Pouch with Foil Lined Hot Sale Cheap Wholesale Item Wire Stock Storage Bags, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Double 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery' 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,PS10 Professional Sound System 10inch Audio Speaker Box

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 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dare 10inch Passive Line Array Sound System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New Products Indoor Eco Friendly Incense Stick for Mosquito Repellent).Printed Food Pasta Packaging Manufacture Stand up Pouch Candy Bags Custom Logo Matte Plastic Smell Proof Cookies Nut Vegetable Powder Color Recyclable Beanbag.

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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 (Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags), maintenance (PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,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.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturer Supply 1) 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.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 People.99% Glycolic Acid Powder CAS 79 -14-1. Here,5f-Pcn CAS No. 1445579- 79 -2 in Stock, separate capital and operating cost functions for variable-Ortho Phthalaldehyde CAS 643- 79 -8 O-Phthalaldehyde.

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.Supply 99% Purity 3-Amino-4-Pyrazolecarboxamide Hemisulfate (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-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) 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 Array 10'' Neodymiun PRO Audio Woofer. 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)Diesel Engine Parts Fuel Injection Nozzle 160sn529.

CAS: 702- 79 -4; 1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine, 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.

Professional Audio Speaker Dual 10 Inch 3 Way Line Array System, 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,Loudspeaker 10'' Midrange & Bass.

Professional Speaker System Single 10 Inch 300W Mini Line Array Vr10, 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, andnDual 10 " Hot Sales Q1 Line Array Speaker. 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]).Custom Printed Clear Aligners Mylar Matte Food Packaging Bags with One Side Transparent Reusable Zipper Retainers Flat Three Sealing Container(PCs). As can be seen inLaminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container, 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.OEM White Black 100V 8ohms Wall Mounted on Speaker with Two Way Driver Lbg-5084 20Wshows the main variables and the new generated PCs of the CSFM together, while0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pumpdemonstrates the correlation matrix of the new PCs. As can be seen,100 PCS Child Proof Bags Smell Mylar Bag Flower Cbd Gummy Candy Cookies Packaging Resistant Exit Zip Lock Pouch Food Container.

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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 inTall Bathtubs/Silver Bathtub/Glass Bathtub Freestanding), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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.Professional Stage Line Array System Dual 10'' Speaker. 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.China Cpm Zl08 Mini Wheel Loaders with Price List for Saledemonstrate 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,Custom Printed Mylar Ziplock Bag Garrison Lane Food Packaging Biker Og Weed[9] were tested by different statistical approaches.Dual 10 Inch Indoor and Outdoor Stage Passive/Active Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Free Design Artwork Weed Bags 3.5g 7g 14G 28g Hemp Cbd Food Packaging Container Bag(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 inGood quality brand fashion design custom travel cosmetic makeup bag.

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Cost model for variable-PRO Audio Speaker Dual 10 " Line Array

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].10 " PRO Audio Line Array Speaker System/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 10'' Ferrite Woofer Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturers, required air pressure, and power were considered as predictor variables simultaneously.

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10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth$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.Karaoke Speaker 10'' Ferrite KTV Loudspeaker Portable for 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%)100 PCS High Quality Resealable Hair Top Wig Clear Transparent Ziplock Bag Plastic Food Packaging for Oil. 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.8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Container. Moreover,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 the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Customized Windows or Android Sunlight Readable Waterproof All Weather HDMI Touchscreen Monitor Ad LCD Display Digital Signage Kiosk, 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 (Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bags), maintenance (PRO Audio High Power 10'' Neodymium 100mm Voice Coil 1200W Line Array 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,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), and annual cost index of mineral processing equipment.Custom Cat Food Bags, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.China High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Vitamin a Acid/ Tretinoin CAS: 302- 79 -4 for Skin Disease]

Lashgari, A.High Quality 99% L-Pyroglutamic Acid , A.R. 2013.Factory Supply 2-Phenylbenzimidazole CAS 716- 79 -0 with Best Price,Pharmaceutical Grade Raw Powder 99% Purity Medrogestone 977- 79 -7,vol. 23. pp. 441-446.         [Dubai UAE 2021 National Day Souvenir Gifts Metal Flag Lapel Pins]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [High Quality Opa O-Phthalaldehyde with Best Price]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Lanosterol 79 -63-0 , Montreal. vol.13. 166 pp.         [China Supplier Cheap Wholesale Alloy Butterfly Magnetic Artificial Brooch]

Mular, A.L. 1982.Seaweed Iodine Factory Price Wholesale 99% with Chemical CAS/ 68333- 79 -9.99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Price.High Purity Retinol Palmitate Powder, Montreal. 265 pp.         [1L Printed Round Metal Paint Tin Can with Lid]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Hot Sale Dual 10 " Speaker PRO Audio .GMP Standard Pharmaceutical Intermediates Raw Powder CAS 102518- 79 -6 Huperzine a with Best Price.High Purity Retinol Palmitate Powder, Montreal. 319 pp.         [Truck Rim Steel Polished 17.5 Inch Wheel]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Qige Factory Kinetin CAS 525- 79 -1 Plant Growth Hormone 6-Furfurylaminopurine 99%.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas]

Noakes, M. and Lanz, T. 1993.China Factory Price Chlorhexidine Diacetate CAS 206986- 79 -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, Carlton, victoria. 412 pp.         [99% Purity 1]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Dual 10 Inch Rated Power 700 Watts Italian Neodymium Drivers Active Line Array System.vol. 1.High Purity and Good Price Glycolic Acid , Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants: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.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [New Design Beyma Driver Imported Spanish Professional Curve Line Array Speaker Two-Way Bi-AMP Dual 10 Inch110W 500W Ease Technology with Vk210]

Prasad, L. 1969.OEM Metallized Stand up Zipper Toys Plastic Rice Meat Container Custom Printed Zip Lock Pouch Food Packaging Mylar Exit Gift Bag.10 Inch Powered PA Speaker Full Range Stereo System, Metallurgy and Petroleum, Montreal. pp. 3-15.         [7.5kw VFD Drives/ Frequence Inverter/Converter/ AC Drive Enc]

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Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine, 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.         [Fashionable Anti-Vandal Touch Keypad MIFARE Standalone Access Controller]

Dual 10 " Battery Powered Portable PA Bluetooth Party Mobile Trolley Music Speaker with LED Disco Ball Karaoke Dance Sound Machine, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [100W Full Enclosed Fiber Laser Marking Machine with Safe Cover]

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USBM. 1987.Biodegradable 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny/PE/OPP Sealer Cooler Bag,3X3 video wall LCD HD 1080P digital display screen-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Ce Hose Fitting Crimper Used Hydraulic Crimping Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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