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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.PRO Audio Powered Line Array Tw- 10 Outdoor 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,Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container, 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.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder.

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


Introduction

V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker, 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,Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Sub. 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,Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffee.Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Coffee Bean Three-Side Sealed Mylar Chocolate(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Transparent Flat Bottom Box Pouch Stand up Zip Lock Eight Sides Seal Bag Side Gusset Standing Plastic Clear Coffee Bags Manufacturer Reusable PE Pet Food, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Laser Aluminum Resealable Value Pack Stand up Zip Lock Bag Hologram Self Seal Zipper Plastic Sealing Digital Food Packaging Mylar Paper Glossy' 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,Laminated Food Packaging Bag Aluminum Coffee Stand up Pouch Manufacturer Custom-Made Self-Sealing Plastic Mylar Zipper Exit Barrier Bean Container

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10 Inch Compact Line Array PRO Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10 Inch Indoor Outdoor Professional Loudspeaker(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Opt Shr Equipment IPL Hair Removal Beauty Salon).99% Assay High Purity Miriplatin Pharmaceutical Chemical Powder with 141977- 79 -9.

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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 (Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet), maintenance (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag Eco Friendly Clear Beverage Liquid Packaging.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Selling Best Price 15307- 79 -6 Diclofenac Sodium Powder) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (RC Factory Supply Chemcial Disodium Glycyrrhetate Powder with CAS 71277- 79 -7 as Food Additives) 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.Thiosemicarbazide CAS 79 -19-6.O-Phthalaldehyde CAS 643- 79 -8. Here,High Purity CAS 71277- 79 -7 Licorice Extract Disodium Glycyrrhizinate with Nice Price, separate capital and operating cost functions for variable-PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub.

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.Pharmaceutical Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory Painkillers(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-1-Bromo-3) 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,Low Price 4. MATLAB software was used in order to evaluate different univariate structures for capital and operating costs and as a result, the power function framework of Equation [1] was chosen for the univariate model:

whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)High Purity CAS 64318- 79 -2 Gemeprost.

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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 Printed Food Grade Ziplock Packing Bag, 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,Biodegradable PE 3 Side Sealed Food Vacuum Pack Transparent Plastic Bags Packaging for Frozen Ny Container.

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whereCeis the estimated cost,Cathe actual cost, andnPlastic Customized Gift Zip Lock Garment Packaging Bag Composite Aluminum Foil Custom Food Packing Cookie. 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]).Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bag(PCs). As can be seen in10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth , 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.Whole Sale Home Antique Style Large Acrylic Freestanding Bathtubshows the main variables and the new generated PCs of the CSFM together, whileCustom Printing Child Resistant Zip Plastic Food Packaging Stand-up Pouch for Weed / Cademonstrates the correlation matrix of the new PCs. As can be seen,Outdoors Professional/PRO Audio Speaker .

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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 inHigh Quality Warehouse Door Use Corrugated Metal Roofing Sheet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Cost Qualified Effect Antistatic Plastic Blue Color Masterbatches for Electronic Components) 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 Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2. 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.Manufacturer of Rectangular Brake Oil Motor Engine Tin Candemonstrate 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,Single 10'' Two Way Line Array PRO Audio[9] were tested by different statistical approaches.Coconut Shell Carbon Charcoal Making Machines Production Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Double 10 Inch Line Array PRO Audio (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 inWalking Talking Electronic Plush Dog Toy.

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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].Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution/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.Pharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Customized Label Plastic White Black Kraft Paper Pouch One Way Valve Roasted Bean Flat Bottom Coffee Bag Food Packaging Rice Pet Container, required air pressure, and power were considered as predictor variables simultaneously.

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CAS: 79 -44-7; Dimethylcarbamoyl Chloride;$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.Doypack Standing Washing Powder Packaging Bag/Liquid Laundry Detergent Spout 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%)200X5000mm Vacuum Sealer Bag Roll for Food Packaging. 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.Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bag. Moreover,Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Pet/PE/CPP Ziplock Plastic Clear Nut Package Dry Food Grade Bags, 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 (Double 10inch Line Array Speaker Q1+Q Sub with Neodymium Magnet), maintenance (50 Ml - 2100 Fully Transparent Plastic Spout Drinking Water Juice Pouch Bag High Quality Matte Surface Aluminum Foil Stand up Body Scrub), 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,Hot Sales 2/3 Sides Seal Food Vacuum Pouches 70micron), and annual cost index of mineral processing equipment.Heat Seal Moisture Proof Cbd Gummies Plastic Food Packaging Candy Bag, and over- extrapolation could result in misguiding estimates.

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References

Camm, T.W. 1994.Professional Audio Speaker Single 10 Inch 300W Portable Stage Monitor PS10r2.D&B Q1 Style Dual 10 Inch Professional Speaker ,vol. 46, no.6. pp. 559-562.         [High Quality Footbath Sofa / Foot Massage]

Huang, X. X., Newnes, L. B., and Parry, G.C. 2012. The adaptation of product cost estimation techniques to estimate the cost of service.International Journal of Computer Integrated Manufacturing,vol. 25, no. 4-5. pp. 417-431.         [Factory Direct Sale Custom Metal Aluminum Musical Instrument Accessories Guitar Pick Keychain]

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [PRO Audio 2-Way Dual 10inch Line Array System Q1+Q Sub]

Khalesi, M. R., Zarei, M. J.,Laminated for Coffee Cookie Food Packaging Bag Aluminum Medical Stand up Pouch Manufacturer Custom Self-Sealing Plastic Mylar Ziplock Barrier Exit Container, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Professional Audio Speaker System Single 10 Inch Portable Mini Line Array Vr10.Minerals Engineering,vol. 81. pp. 103-108.         [Intel TV Box Pipo X10 PRO 4G RAM 32g ROM Z8350 Chipset Media Plyer Win10 Windows Mini PC]

Kim, G.H., An, S.H., and Kang, K.I. 2004.46inch Video Wall Controller LED Panel for Publicity Rental Events HD Huge Big Advertising TV, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw]

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Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [China Hot Sale Frequency Converter/Inverter 380V 50/60Hz]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container, Montreal. vol.13. 166 pp.         [Embossed topsheet disposable breathable dry surface baby pull pants up diapers]

Mular, A.L. 1982.High bright Samsung 46" 49" 55" LCD video wall screen monitor.Factory Sell 99% Purity Diclofenac Sodium Powder CAS 15307- 79 -6.43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk, Montreal. 265 pp.         [Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/Melitten]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Kraft Paper &Plastic Foil Laminated Mylar Food Packaging Container.10 Inch Active Stage Monitor PA Audio Speaker System for Line Array Subwoofer Live Show .43''46''55''65''75'' Commercial LCD Screen Display Full Color Waterproof Sunglight Readable Android Touch Monitor Kiosk, Montreal. 319 pp.         [Plastic Green Color Masterbatch]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendly.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Top Quality Comfortable Furniture Sets Living Room Sofa]

Noakes, M. and Lanz, T. 1993.Bloom Tech Chemical Reagent .BPA Free Customize Printing Plastic Laminated Mylar Bio Bag with Ziplock, Carlton, victoria. 412 pp.         [Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Underfloor Heating Mat Floor Systems]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Active Pharmaceutical Ingredient CAS 15307- 79 -6 Diclofenac Sodium.vol. 1.Hair and Eyelash Growth Acetyl Tetrapeptide-3/Capixyl CAS 155149- 79 -4, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:High Quality Printed Food Packaging Doypack Aluminium Zipper Bags.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw]

Prasad, L. 1969.High Quality Argipressine CAS 113- 79 -1 with Best Price.1-Bromo-3, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Power Supply 3 pH 4kw Converter 60Hz 50Hz Water Pump Frequency Inverter]

High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Cinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Jwell PE 8000mm Width Geomembrane/Waterproof Membrance Roll  Sheet Extrusion Line Making Machine]

High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1, 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.         [Church P3.91 Rental Screen Indoor HD Display Video Panel P 3.9mm Curve Front Full Color Price P3.9 mm LED Wall]

High Quality Glycolic Acid/ Hydroxyacetic Acid CAS 79 -14-1, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25]

Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [Thin-film Sputtering Pressure Transmitter For Medical Equipment]

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USBM. 1987.Sourcing O-Phthalaldehyde Opa CAS 643- 79 -8 in Stock Supplier From China,55 Inch Stand Alone Digital Free Standing LCD Advertising Display-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Popular Design Custom Metal Zinc Alloy Silver Plated Couple Coffee Cup Keychain with Packaging Box]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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