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


Plastic PE Pipe Production LineCost modelling for flotation machines

S. Arfania; A.R.2 Wheel Electric Motorcycle with Lead BatteryProfessional Loudspeaker Line-Array Speaker Sound Audio System with Vr112; 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.Solar Panel System 20kw Grid Tied Power for Home(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,5kw Solar-Diesel Generation Hybrid Grid- Tied Power System, 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.Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects.

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


2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tied, 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,Cheap Commercial Plywood for Construction Decoration and Furniture Use. 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,Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite.Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy(Khalesiet al.,2015).

20kw Grid Tied Solar System.Soft Starter Small Frequency Converter Mini Inverter AC Motor Speed Controlleret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for China Factory Lithium 150ah Battery with BMS AC Output(Smith and Mason, 1997).Cheap Price Origin Brushless 800W Motor Electric Motorcycle Made in China(Wolf 0.8t Mini Loader with Grass Fork). One of the preliminary works was undertaken by Prasad (1969)Rk3329 Ubuntu Mini PC HK1 Max Xbmc Chrome Cast TV Internet Box Quad Core Firmware Android, Khalesi, and Khosfarman (2014).220VDC to 220VAC Variable Frequency Inverter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine, the role of other effective parameters has simply been overlooked.Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump. Furthermore,Yn725 Yineng Mini Wheel Loader 18.5kw Cabin, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-380V 400Hz 3p AC Drive Hot 15kw Frequency Converter.Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz(SRA) and multiple regression (MRA) cost functions are presented.3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (VFD Frequency Converter Inverter for Constant Pressure Water Supply, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters' 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),800kg China Small Front High Quality Wheel Loader for Sale in Europe(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (LED Light 110V 2-Wire Single Color Neon Flexible).Melamine Glue WBP Commerical Plywood.

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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 (Decorative Pine Groove Plywood Veneer Fancy), maintenance (E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (18mm Embossed Melamine Faced Commercial Plywood for Furniture Making) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Filmfaced Plywood with High Quality and Cheap Price) 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.9mm E1 Glue Bintangor Plywood Board.E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room. Here,E-Scooter Electric Motorcycle Manufacture/Electric Adult off Road E-Motorcycle 800W, separate capital and operating cost functions for variable-AC Drive.

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.Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle(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-Sell Well 800W 60V Electric Motorcycle for Daily Riding) 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,China Reliable Quality 3.7kw 3-Phase Solar Water Pump Inverter for Irrigation System. 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)15kw Grid Tied Solar System.

Rosen 8kw Grid Tied on Solar Panel System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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.

12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrial, 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,Grid Tied 11kw Solar Panel System Home Commercial Power Supply.

5kw Grid Tied Solar Power System for Home Use, 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, andn12kw Grid Tied Solar System. 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]).Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller(PCs). As can be seen inSolar Tool Set/Bad/Box Cable Stripping Wire Cutter Mc4 Connector Spanner Wrench for PV System Panel 14-10AWG 2.5-6mm2, 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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Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible,0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(CSFM) is presented here as an example.High Quality Chemical Product 4- illustrates the high correlation between predictor variables for the CSFM.

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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.Er08 New CE Approved Small Shovel Loadershows the main variables and the new generated PCs of the CSFM together, whileElectronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Partsdemonstrates the correlation matrix of the new PCs. As can be seen,Jarol Strong Overload Capacity AC Drive Frequency Inverter .

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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 inQt10-15 Full Automatic Block Making Machine for Sale in Jamaica), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLongyu Produce Nano Copper Oxide Nanoparticles 1317-38-0) 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.Sporty Electric Scooter . 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 Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9demonstrate 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,SMD3014/2835 AC/DC Underwater LED Swimming Pool Light[9] were tested by different statistical approaches.Ophthalmic a Scan Portable Handheld Biometershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box(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 inHigh Quality Wear-Resisting Stamping Dies Cold Heading Mold.

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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].Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao/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.Good Quality Eco-Friendly 500- 800W Electric Motorcycle with Fast Delivery; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,5kw Solar-Diesel Generation Hybrid Grid- Tied Power System, required air pressure, and power were considered as predictor variables simultaneously.

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Plywood Mdo / Hdo for Concrete Formwork Slab Form$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.Electric Scooter/ Motorcycle/TM-Monya, 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%)Electric Scooter with Anti-Theft Motor Lock . 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.Hot-Sale Sporty Electric Motorcycle Mn5. Moreover,Good Price CE 500W Bicicletas Electricas 48V Electric Motorcycle 800W for Adult, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (RGB/White 18W PAR56 LED Swimming Pool Light, 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 (Decorative Pine Groove Plywood Veneer Fancy), maintenance (E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated), 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,PAR56 IP68 Waterproof Outdoor Underwater LED Swimming Pool Light), and annual cost index of mineral processing equipment.PAR56 316ss 18watt LED Underwater Swimming Pool Lights with PC Niche, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,18W Recessed IP68 PAR56 LED swimming Pool Underwater Light. Maximum MAER of 13.5% and minimum R2of 0.18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lighting-feasibility and even feasibility study level of projects.


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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.         [Artificial Stone Sheet Countertop Marble Veins Solid Surface for Building Worktop]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [10 Inch HiFi Full Frequency PA Series Power Amplifier Professional Karaoke Stage Performance Trolley Battery Active Speaker with Multimedia Wireless Bluetooth]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Easy Installation Good Quality Factory Supply Grid Tied 10kw 12kw 15kw on Solar System for Commercial and Industrial Use]

Khalesi, M. R., Zarei, M. J.,2 Wheel Electric Motorcycle with Lead Battery, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Light.Minerals Engineering,vol. 81. pp. 103-108.         [OEM ODM Public DJ PA Wooden Speaker]

Kim, G.H., An, S.H., and Kang, K.I. 2004.The Thinnest Wall Pool Underwater Swimming Light 18 Volts, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [24 Channels Fixed Modulator]

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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.         [Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier]

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.         [3X3 LCD wall panel surveillance digital display screen]

Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.China Plywood for The Furniture/Construction,vol. 115. pp. 789-797.         [Gainsville Furniture Livingroom Sofa Set Luxury Leather GS9012]

Montgomery, D.C. and Runger, G.C. 2003. Applied Statistics and Probability for Engineers. 3rd edn. Arizona State University.         [Solvent Violet 11]

Mular, A.L. 1978. Mineral Processing Equipment Costs and Preliminary Capital Cost Estimations. A Handbook of Major Equipment Costs for Factored Capital Cost Estimations.3-18mm Melamine Plywood/Melamine Board/Fancy Paper Face Plywood for Indoor Use, Montreal. vol.13. 166 pp.         [Long Lasting Scent Musk Perfume with Fast Deliver]

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O'hara, T.A. 1980. Quick guide to the evaluation of ore bodies,CIM Bulletin,February. pp. 87-89.         [Fashion Design High Quality PU Leather Colorful Adjustable Dog Collar]

O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Hot Sale Metal Round Cans for Paint or Chemical Packaging.vol. 1.Everun CE Approved Articulated Er08 0.8 Ton Multifunction Front End Loader with Standard Bucket, Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [New Products Lift Recliner Chair Sofa ]

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0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Engine Controller Model Eim Basic 258 -9756]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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