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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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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Steel Speaker Cabinet Top Hat with M20 Thread Inside Cost modelling for flotation machines

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Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.1L Empty Round Brake Fluid Can Boxes(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,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, 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.Motor King Rear Double Axle Tricycle for Heavy Loader.

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


Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding, 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,1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent. 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,1L /1000ml Extra Virgin Olive Oil Metal Can.1L Olive Oil Can Cooking Empty Tin Can/Pot Metal(Khalesiet al.,2015).

Heavy Loader 5wheel Cargo Tricycle with Cabin.High Precision and Fast Speed Nonmetal CO2 Laser Marking Machineet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Three-Way Large Touring Performance Line Array System PA Speaker(Smith and Mason, 1997).Motor Cargo Tricycle for 2-3ton Loader(MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator). One of the preliminary works was undertaken by Prasad (1969)1L Empty Round Tin Can with Plastic Lid Manufacturer, Khalesi, and Khosfarman (2014).1L Extra Virgin Olive Oil Metal Can with Cover; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W, the role of other effective parameters has simply been overlooked.Gy6 -125/ 150ccformaular. Furthermore,Double Chasis Cargo Tricycle, 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-Euro 5 Gy6 -50cc 4t Moped.Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter (SRA) and multiple regression (MRA) cost functions are presented.Water Proof Closed Box Delivery Tricycle. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Barrow Mini Dumper with Three Wheels' 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,250W- 800W Handicapped Mobility Scooter for Old People with Basket

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Outdoor P3.91 Full Color Hub Board Connection LED Screen).3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains.

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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 (Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W), maintenance (Auto Parts Laser Printing Machine Marking System Engraving Equipment) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Water-Proof Cover 3 Wheel Cargo Gasoline Trike.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W) 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.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty.30W CO2 Touch Screen Laser Marking Coding Engraving Machine. Here,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty, separate capital and operating cost functions for variable-Solid State Inductive Heating Furnace for Tyre Cord Wire.

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.Factory Supply Biomass Rice Husk Charcoal Making Machine(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-Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price) 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,Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner. 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)Outdoor/Home Use Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.

Low Failure Rate High Efficiency Induction Metal Heating Machine , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, 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.

Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe, 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,Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.

Hot Sale Mini High Frequency 25kw Induction Heater Price, 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, andnConvex Series Probe Type Wireless Mini Ultrasound Scanner. 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]).2ND Generation Ultrasound Bone Densitometer(PCs). As can be seen inStand Alone Tub Small Oval 55 Inch Free Standing Acrylic Bathtub, 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.Water/Gas-Supply PP PE HDPE Plastic Pipe/Tube Extrusion Making Machineshows the main variables and the new generated PCs of the CSFM together, whileFrequency Converter for Small Power Motors 3pH 380V 50/60Hzdemonstrates the correlation matrix of the new PCs. As can be seen,Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye.

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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 inUnique Muslim Fashion Jewelry 925 Sterling Silver Micro Mens Rings with Zircon Stone), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from5L Metal Round Cans for Paint or Chemical Packaging) 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.Ophthalmic Optical Pachymeter & Biometer / a Scan . 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.Machine Tools High Precision 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Millingdemonstrate 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,1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier[9] were tested by different statistical approaches.Three Phase AC Variable Speed Frequency Converter Fan Motor Pump Controllershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Roadside Emergency Set Auto Car Tool Kit(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 inCustom Cheap Metal Enamel Alphabet Safety Hollow Brooch Lapel Pin Badge with Your Logo.

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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].2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim/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.


Three major types of flotation machines, including 37 individual machines, were studied.Portable Induction Heater for Crystal Growth; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, required air pressure, and power were considered as predictor variables simultaneously.

Dry diaphragm membrane sanitary pressure transducer. Moreover, the operating cost was detailed in different cost items.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale, indicated inDouble 10 " PA Mobile Multiple Bt Wireless Microphone Trolley LED Party Karaoke Loud Speaker with Multimedia Large Multi-Colored Disco Woofer and Battery, and major extrapolation should be avoided.

High Frequency Induction Heater $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.Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace, 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%)Softel 4u 12 Channel Agile CATV Analog RF Modulator. In the MRA cases, this property is owed to the SFM (3.05%).


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.Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool. Moreover,Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality Melamine MDF with Competitive Price Ce Carb Grade, 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 (Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W), maintenance (Auto Parts Laser Printing Machine Marking System Engraving Equipment), 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,Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF), and annual cost index of mineral processing equipment.The Best Sale and Low Price Chinese Brake Lathe , and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.6mm Raw Plain MDF ISO9001/ Carb for Decoration.ISO,vol. 46, no.6. pp. 559-562.         [Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality]

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.         [China Supplier Finished Customized Tungsten Carbide Extrusion Die]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Tank Dust Removing Machine with Filter Cartridge]

Khalesi, M. R., Zarei, M. J.,Llantas High Quality L5 OTR Tyre 26.5-25, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Se0/Fsc/ Carb Naf 18mm MDF Board.Minerals Engineering,vol. 81. pp. 103-108.         [10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.]

Kim, G.H., An, S.H., and Kang, K.I. 2004.HPM410W Submerged Integrated Level Sensor Transmitter, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [High Quality Solar PV Grid- Tied Inverters]

Lashgari, A.Industrial Mining All Welded Anti Explosion Pressure Transmitter, A.R. 2013.GAS Wind Pressure Transmitter with Data Display,Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF,vol. 23. pp. 441-446.         [2014 Brand New A-Line White Lace V-Neck Organza Wedding Dresses Bridal Gowns]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Yn725 Wheel Loader 25kw Mini]

Mcnab, B., Jancovic, A., David, D., and Payne, P. 2009. Processing of magnetite iron ores-comparing grinding options.Proceedings of the AusIMM Iron Ore Conference,Perth, WA, 27-29 July 2009.         [1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Coconut Shell Carbon Charcoal Making Machines Production Line,vol. 115. pp. 789-797.         [Dimethylthiotoluene Diamine]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [2ND Generation Ultrasound Bone Densitometer]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board, Montreal. vol.13. 166 pp.         [Clear 150ml Flint Glass Bottle Ketchup with Cap]

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification.Draught Fan Digital LED Micro Air Wind Pressure Sensor.Glue E1 Carb Plain Mositure-Proof MDF, Montreal. 319 pp.         [Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8]

Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.HPM128 High stability Explosion-proof Pressure Transmitte.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV]

Noakes, M. and Lanz, T. 1993.Compressor Low Cost Small Type Pressure Transducer.Hot Sale Motorcycle with 150cc Gy6 Engine, Carlton, victoria. 412 pp.         [Yj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China]

O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Lawn Mower Cable Boundary for Worx Gardena Robomow Ambrogio Automower]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.HPM766 Dry diaphragm membrane sanitary pressure transducer.vol. 1.150cc Gy6 Engine Gasoline Scooter, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [PA12 Transparent Polyamide with Anti-UV Granules]

Pascoe, R.D. 1992. Capital and operating costs of minerals engineering plants:Gy6 Engine 150cc Scooter.Minerals Engineering,vol. 5, no. 8. pp. 883-893.         [Double 6" Professional Speaker Line Array]

Prasad, L. 1969.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip.Digital Display Superior 316L integrated Pressure Transducer, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Professional Stage Line Array System Dual 10 Inch DSP Active Speaker ]

Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [5kw Solar PV Kit Power Gird Tied Inverter]

Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, 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.         [Drawing Sliver Wire Natural Diamond Dies]

Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Food Packaging Bag]

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.         [Chinese Eougem Zl08 Wheel Loader with Torque Converter]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [Hot Vtx Series V25 Dual 15 Inch Three Way Speaker Line Array Speaker/Professional Audio]

Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [Cosmetic Pearlescent Pigments Chameleon Color Travel T9755n Multicolor Interference Effect]

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Wills, B.A. and Napier-Munn, T. 2011. Wills' Mineral Processing Technology: An Introduction to the Practical Aspects of Ore Treatment and Mineral Recovery. 7th edn. Elsevier/Butterworth Heinemann, Amsterdam.         [Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5]

Paper received Apr. 2015
Revised paper Received Jul. 2016

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