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


Inverter AC DriveCost modelling for flotation machines

S. Arfania; A.R.Gy6 /Jog Motorcycle Regulator/Rectifier PartsApr125 Red Motorcycle; M.R. Khalesi

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.Yog Spare Parts Accessories Motorcycle Stator Comp Gy6 125(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,Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6, 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.Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier.

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


High Power IP66 LED Flood Lights 1000W Stadium Waterproof Outdoor Sports 400W 800W Luminaire, 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,20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrument. 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,Motorcycle Spare Part Turn Light for Gy6 -150.Fractional RF & Thermal Machine (Khalesiet al.,2015).

Motorcycle Ignition Coil Bobina Alta Tvs Star Gy6 -125 Cg125.Good Price Top 20mrf Crf Wrinkle Removal Anti-Aging Deviceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Mini Wireless Stereo Tws 5.0 Music Earphone L18(Smith and Mason, 1997).20MHz RF Face Skin Lifting and Tightening Machine(Good-Tightness Square Tin Can Metal Engine Oil with Sscrew Lid). One of the preliminary works was undertaken by Prasad (1969)20MHz RF Beauty Machine Skin Tightening, Khalesi, and Khosfarman (2014).Super 20MHz RF Beauty Machine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20MHz RF with New Technology for Body Tightening, the role of other effective parameters has simply been overlooked.Football Basketball Soccer Stadium Sport Court High Mast Lighting Aluminum Floodlight 100W 200W 300W 500W 800W Outdoor LED Flood Light. Furthermore,ADSS Body Slimming Beauty Machine , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Portable Themagic Fractional RF Machine for Skin Tightening.China Wholesale 110/90-16 High Quality Motorcycle Tyre/Tire(SRA) and multiple regression (MRA) cost functions are presented.Peonylighting 800W High Pole Stadium LED Flood Yard Lamp. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (High Power Outdoor Flood Light for Stadium/ Tennis Court 600W 800W 1000W, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTop Quality Insecticide Classification Deltamethrin 98%TC(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Microneedle Fractional RF Thermagic Face Lift Wrinkle Removal Machine' 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),150cc 300cc 500cc 650cc 2 Seat Adult Frames Go Kart(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Top Quality Agrochemical Fungicide Penconazole 95%Tc 5� 10� 20� 20% Ew 80%Wp).200cc Racing Go Kart for Sale Cheap.

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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 (China 300cc Adult Road Legal 2 Seat Pedal Go Kart), maintenance (3kwh Solar Energy Storage System) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 New Design 3kwh off Grid Solar Power System LiFePO4 Battery for Home Use with Built-in Inverter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Peanut Shell and Rice Husk Continuous Carbonization Oven) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Direct Wholesale 300- 17 Motorcycle Tire/Tyre) 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.ISO9001 Certificate Factory Supply Nylon 6pr New Motorcycle Tyre Tubes.Handheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cable. Here,Mobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipe, separate capital and operating cost functions for variable-High Quality Radio Frequency Aesthetic Equipment.

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.China Good Quality 2.75- 17 Tubeless Motorcycle Tire/Tyre(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-2.50- 17 ) 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,Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue. 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)Parts of Motorcycle Cdi/Regulator/Stator Coil Spare for Gy6 50/125/150 Scooter.

Besr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Medical Machine / Multipolar RF Facial Beauty, 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.

Made in China High Performance Tubeless Fat Motorcycle Tire 180/55- 17, 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,Good Packed Bottle PE Film Shrink Wrapping Machine China.

ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17, 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, andn25kw High Frequency Induction Heater for Bolts&Rivet. 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]).Fractional RF Vacuum Slimming Machine for Lose Weight(PCs). As can be seen inElectrical Pipe Tube Cold Working Processing 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.Direct Injection Water Cooled Diesel Engine Used for Generator Setshows the main variables and the new generated PCs of the CSFM together, whileAC Drivedemonstrates the correlation matrix of the new PCs. As can be seen,ISO9001 Motorcycle Spare Part Tubeless Motorcross Tire Size 100/90- 17.

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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 inOEM/ODM Wholesale OEM Service Sanitary Napkins Pad), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromUns N26055 Nickel Alloy Welding Inconel Stainless Steel Wire) 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.Linear Type Thermal Film Packing Machine / Equipment. 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.Custom Printed Aluminum Foil Laminated Pet Food Packing Bag Plastic Clothes Package Metallized Stand up Zipper Mylar Transparent Clear Pouch Heat Resistantdemonstrate 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,Good Solutions 3kw Solar Home Energy off Grid System[9] were tested by different statistical approaches.New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Jalyn Motorcycle Spare Parts Speedometer Assy Fits for Gy6 /Hunter(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 inAC/DC 84W 12V 7A Switching Power Supply Adapter with UL ETL CE FCC RoHS SAA C-tick.

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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].Super Bright Outdoor 300W 400W 500W 600W 800W 1000W LED Flood Light/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.10pack/M Automatic PE Film Combine Heat Shrink Wrapping Bottle Packing Wrapper Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Motorcycle Ignition Coil/Bobina Encendido/Bobina Alta/Moto Accesorios/Piezas Gy6, required air pressure, and power were considered as predictor variables simultaneously.

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Automatic Bottle PE Film Shrink Wrapping Packing Machine $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.Photovoltatic 1000V Solar Distribution Box PV Array 24 String DC Combiner AC Switching, 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%)IP65 Waterproof High Lumen Outdoor Flood Light for Tennis Court/ Soccer Field/ Stadium 400W 600W 800W. 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.Waterproof 800W Deformable High Mast Flood LED Lighting for Outdoor Stadium Airport Golf Course Container Wharf. Moreover,1L HDPE Plastic Bottle Chemical, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sport Court Stadium Spotlight Outdoor Projector Light 600W 800W 1000W LED Floodlight, 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 (China 300cc Adult Road Legal 2 Seat Pedal Go Kart), maintenance (3kwh Solar Energy Storage System), 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,Waterproof IP66 800W Rotatable Outdoor High Mast Flood Lamp LED for Harbor Wharf Football Tennis Sport Court Stadium Airport Golf Course Lighting), and annual cost index of mineral processing equipment.Waterproof IP66 Adjustable High Power LED Stadium Lamp 100W 200W 300W 400W 600W 800W 1000W 1200W 1500W Flood Light, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.1L Stainless Steel 304 Bottle with Clamp and Silicone Gasket.Automatic Pure/Mineral Bottle Water Packing Machine ,vol. 46, no.6. pp. 559-562.         [Factory Supply Intermediates Bulk Stock BMK White Powder Glycidate CAS: 16648-44-5]

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.         [Stainless Steel Vertical Milk Chilling Vessel]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Top Quality Benzocaine / HCl CAS 23239-88-5]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Power Frequency Converter AC Drive Inverter]

Khalesi, M. R., Zarei, M. J.,Gy6 /Jog Motorcycle Regulator/Rectifier Parts, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-1000ml 71g 1L HDPE Plastic Bottle for Chemical Powders Liquids.Minerals Engineering,vol. 81. pp. 103-108.         [Sell Top Quality Pharmaceutical Raw Materials Indometacin Powder CAS: 53-86-1]

Kim, G.H., An, S.H., and Kang, K.I. 2004.300/650ml/ 1L Plastic Shampoo Cosmetic Pump Bottle, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Water and Gas Supply HDPE Pipe Extrusion Production Line 315mm]

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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.         [Compact Neodymium Line Array 12inch 400W Passive Speaker PA System]

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.         [Wholesale Folding Bed   Recliner Sofa Beds Fabric]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.Hot Wholesale 1L /2L/3L Laundry Liquid Detergent Bottle,vol. 115. pp. 789-797.         [Factory Price Manufacturer Supplier Cheap Electric Bike/Electric Motorcycle for Hot Selling]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [150cc Front Cabin Cargo Tricycle]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.Factory Outlet Dog Tag Laser Marking Machine for Metal 50W, Montreal. vol.13. 166 pp.         [Longlife Automatic Cement Painting Machine/ Rendering Machine for Sir Lanka Market]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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