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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



Police Motorcycle 250ccCost 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.Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft(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,Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125, 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 0.30W Bird Rings Machine Laser Marker with Rotation Working Table.

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


Mini Handle Electric DOT Peen Marking Machine, 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,Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40. 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,Pin Machine Suppliers Marker Systems.USB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device(Khalesiet al.,2015).

1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong.1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Replica Aluminum Alloy Wheels for BMW X1/X2/X3/X4/X5/X6 Series(Smith and Mason, 1997).4u 16 in 1 Agile CATV RF Modulator Channels(Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson). One of the preliminary works was undertaken by Prasad (1969)Thinner Plain Color 1L Metal Can with Screw Cap, Khalesi, and Khosfarman (2014).Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,HDPE Pesticide Bottle 500ml 1L Foliar Fertilizer Plastic, the role of other effective parameters has simply been overlooked.Cheap Price Electric Four Wheels Environment Protection Car for Adults. Furthermore,Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path, 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-Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle.Softel CATV House Amplifier Gain Forward Max 30 dB with Return Path 5-65MHz(SRA) and multiple regression (MRA) cost functions are presented.Gain 30dB 1 Output CATV House User Amplifier with AGC. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Softel 24 Channel Optional RF Fixed Analog Modulator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Speed Stack Type Flexo Printer Letterpress Flexographic Printing Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (En124 B125 High Quality Factory Outlet SMC Circle Composite National Manhole Covers).Motorcycle Parts Speed Cable for Gy6 -150.

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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 (Powder Metallurgy Hot Press Sintering Furnace), maintenance (Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Cheap Popular Pattern 3.00-18 Motorcycle Tyre.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Strong Corrosion Resistance High Overload Pressure Sensor) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (300cc Triciclo Con Cabina) 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.Three Wheel Trolley Tube Type Tire 90/90-18.High accuracy stability Monocrystalline Silicon Pressure Transmitter. Here,Discount High Strength 90/90-19 Motorcycle Tyre/Tire, separate capital and operating cost functions for variable-New Pattern Best Price 110/90- 17 Motorcycle Tire.

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.Tire Brands to Avoid 2.50- 17 Solid Tire.(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-2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for) 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,Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm. 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)2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.

Chinese 300cc Cheap Farm Gas Trike , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., 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.

Thin-film Sputtering Pressure Transmitter For Medical Equipment, 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,High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.

Ophthalmic Ultrasonic Pachymeter and Biometer, 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, andn2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment. 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]).2021 New Arrival Malaysian Eyebrow(PCs). As can be seen inHigh Precision and Fast Speed Nonmetal CO2 Laser Marking Machine, 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.1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power Systemshows the main variables and the new generated PCs of the CSFM together, whileKf760 Line Array System for Outdoor Concertdemonstrates the correlation matrix of the new PCs. As can be seen,Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions.

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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 inNew 10 PCS Mermaid Makeup Brush Set Professional Eye Brushes for Eyeshadow Concealer Eyeliner Brow Blending Tool), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality 5000W Grid Tied Solar Power Generation System Competitive Price) 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 Biometer &Pachymeter . 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.2.5A 0.4kw IP20 Jarol Variable Frequency Drivedemonstrate 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,New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H[9] were tested by different statistical approaches.Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kitshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser(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 in3015 1000W Raycus Sheet and Tube Fiber Laser Cutting Machine.

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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].Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches/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.50cc EEC Motorcycle Scooter Efi Moped; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125, required air pressure, and power were considered as predictor variables simultaneously.

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Zhenhua New T5 300cc Motorcycle Efi$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.EEC Efi Racing Motorbike Motorcycles 125cc, 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%)Motorbicycle with Efi Fuel Supply and Steel Tube Frame. 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.High Speed Kawasaki Ninja Motorcycle 250cc. Moreover,Mini Nameplate Pneumatic Engraving Machine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range, 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 (Powder Metallurgy Hot Press Sintering Furnace), maintenance (Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200), 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,Mini electric truck/ express vehicle/ Express vehicles), and annual cost index of mineral processing equipment.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, and over- extrapolation could result in misguiding estimates.

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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.         [Ce Approved Industrial Automatic Rack Oven Pastry Prices Rotary]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Dust Collector Woodworking Machinery Supplier]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Glue Tin Can with Plastic Lid / Square Metal Paint Sizes]

Khalesi, M. R., Zarei, M. J.,WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-4x2 electric pickup truck/ Electric vehicle/ car.Minerals Engineering,vol. 81. pp. 103-108.         [Sector Panel Antenna ]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Color Custom Diesel Engine Used for Generator Set with Four-Stroke]

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Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Scooter Parts]

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.         [Vr36 Dual 10 Inch 3 Way Passive Compact Line Array]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60,vol. 115. pp. 789-797.         [Hzm908 Jn908 31.5 Tyre Loader Best Price Hot Sale]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Cute City Electric Scooter 600V800W14ah Lithium Battery for Adults]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid, Montreal. vol.13. 166 pp.         [Aogrand 75% Alcohol Hand Sanitizer Disinfectant Gel OEM/ODM Cleace]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Quick Wash Hand Sanitizer for Virus Killer Effectively Hand  Sanitizer  Gel]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum.vol. 1.Flexible Label Laser Marking Machine for Automotive, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale]

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Prasad, L. 1969.4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter.Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator, Metallurgy and Petroleum, Montreal. pp. 3-15.         [Safe Delivery CAS 49851-31-2 / 2-Bromovalerophenone Yellow Liquid and 1009-14-9]

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3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Airtight Child Pop up Squeeze Plastic Stand Flat Bottom Pet Cat 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.         [RGB/White 18W PAR56 LED Swimming Pool Light]

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Timm, N.H. 2002. Applied Multivariate Analysis. Springer-Verlag, New York.         [Samsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solution]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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