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


Deltamethrin 2.5% EC Pesticide & InsecticidesCost modelling for flotation machines

S. Arfania; A.R.High Performance 6kw Grid Tied Home Solar Energy SystemHe-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter; 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.Oil Treatment Packaging Tin Container Can(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,Rosen 8kw Grid Tied on Solar System to Global Market, 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.Factory-Slicer Natural American Red Oak Veneer in 0.50mm.

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


Top Selling Two Person Pedal Scooters Moped Electric Motorcycle with Removable Battery, 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,Custom Waterproof and Oil Sealing Round Metal Tin Can. 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,CE Er08 Mini Wheel Loader with One-Year Warranty for Sale.Innopack Tin Can with Brush Round Oil Cans(Khalesiet al.,2015).

Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale.2021 New Removable Battery 350W Motor Scooter Electric Motorcycle for Adultet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Supper Mini Wheel Loader Hzm908 Zl08f 0.8ton Compat Small Backhoe(Smith and Mason, 1997).3 Liter Tin Packing Chemical Can with Spout(Customized 36V 12ah 10 AMP Electric E Bike Li-ion Battery Pack 48volt Ebike Lithium Ion). One of the preliminary works was undertaken by Prasad (1969)Food Grade Round Tin Can for Welded Milk Powder Packaging, Khalesi, and Khosfarman (2014).1gallon Round Metallic Tin Can with Metal Handle for Paint; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Top Sale Chinese CE Certification New Adult Racing Electric Motorcycle 350W, the role of other effective parameters has simply been overlooked.Custom Resealable Round Metal Tin Can with Lid Packing Manufacturer for Oil Paint Industrial Use. Furthermore,350W 60V 20ah E Scooter Thorttle Motorcycles Electric with Pedals Disc Brake Bicycle for Sale, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Fluid Storage Containers Lubricants for Use.0.8t 800kg Small Loader(SRA) and multiple regression (MRA) cost functions are presented.Factory Direct High Quality Glue Round Tin Cans with Brush. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (350-1500W 48-72V Smart Cheap Motorcycle for Adults Heavy Duty Electric, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inArticulated Loader Mini Compact Wheel with Shovel(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Cute Street Electric Scooter with LED Light 60V800W20ah' 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,Yn725g Yineng Mini Wheel Loader 18.5kw No Cabin

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Wolf 0.8t Mini Loader with Grass Fork, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Everun Brand 0.8ton Compact Wheel Loader with 4in1 Bucket(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customize Acceptabel Organic Beauty Soap Puriffying Oil Control Moisturizing Coffee Handmade).Zl08f Wheel Loader with Rops Cab.

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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 (2HP 1 Phase Frequency Converter), maintenance (7.5HP Three Phase Frequency Converter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3HP 1 Phase Frequency Converter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (3HP 1 Phase Frequency Converter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10HP Three Phase Frequency Converter) 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.3HP Frequency Converter Vector Three Phase.15HP Three Phase Frequency Converter. Here,Power Smart Electric Scooter with LED Light 60V800W20ah, separate capital and operating cost functions for variable-3HP Three Phase Frequency Converter.

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.1HP Frequency Converter Vector Three Phase(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-15HP Frequency Converter Vector Three Phase) 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,2HP Frequency Converter Vector Single Phase. 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)Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw.

Home Use 6kw Grid Tied Solar Power System with High Performance, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Hot Sale 10kw 10000W off Grid Solar Power System Home Use, 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.

4kw 3phase Frequency Converter 50Hz to 60Hz, 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,1.5kw 3phase Frequency Converter 50Hz to 60Hz.

Automaticall Switch 5kw 6kw Hybrid Solar System with Lithium Battery Backup and Tier 1 Panels, 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, andnRound Tin Can for Food Packaging Empty Tinplate. 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 Cheap 60V 350W Cool Adult Electric Bike / Bicycle Motorcycle with Pedal(PCs). As can be seen inYn725g Yineng Mini Wheel Loader 18.5kw Without Cabin, 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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Technical Wood Veneer MDF Boards for Cupboard,High Quality Small Metal Tin Can with Open Top Lid for Lubricant(CSFM) is presented here as an example.Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cansillustrates 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.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Serviceshows the main variables and the new generated PCs of the CSFM together, while0.25-1.0mm Hot Sale Natural Red Beech Veneer for Furnituredemonstrates the correlation matrix of the new PCs. As can be seen,Long Using Life Shuttering Plywood with Logo for Construction.

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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 inSuper-Antiskid Modern Style Stone Vinyl Plank Click Flooring 5mm for Bedroom), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNo Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme) 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.Solar Power System Home 5kw off Grid Tied Solution. 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.Donbn Dz- 10 Two Way Full Range Professional KTV Speakerdemonstrate 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,2021 New 350W Electric Moped Motorcycle/Electric Pedal Moped/Best Motorcycle for Adults[9] were tested by different statistical approaches.Single 12" Plastic Waterproof Speakershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Power Mini Electric Scooter for Lady 60V800W(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 inHot Selling Customer Fashion Design Metal Button Badge.

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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].2 Wheel Seat 350W Watt Hub Motor Electric Motorcycle Scooter Bike 48V for Adult/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.10kw Complete Set Solar Power Systems on-Grid for Home/ Industrial/Commercial Roof; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Rosen 8kw Grid Tied on Solar System to Global Market, required air pressure, and power were considered as predictor variables simultaneously.

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Variable Frequency Inverter Solar Pump DC/AC$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.Tx6s H616 Allwinner 4K Smart Aluminum Ott IPTV 10.0 Android TV Box, 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%)2.5L-25L Square Metal Tin Can with Lid for Paint Glue Adhesives Packing. 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.1 Liter Metal Square Tin Can with Screw Lid for Oil Paint Chemical. Moreover,Wholesale 947 Ml/32oz Metal Round Glue Can Tin with Brush Cap, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (500ml 16oz Round Metal Glue Tin Can with Screw Top Brush for Chemical, 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 (2HP 1 Phase Frequency Converter), maintenance (7.5HP Three Phase Frequency Converter), 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,Alcohol/ Refrigerating Fulid Screw Top Can with Brush Wholesale), and annual cost index of mineral processing equipment.Customized B/C/D/E Grade Wood/Natural Birch Veneer, and over- extrapolation could result in misguiding estimates.

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Camm, T.W. 1994.Many Designs Moulded Door Skin for Interior.Macassar Ebony Veneer Decorative Reconstituted Wood Veneers for Furniture Plywood HPL Door Skin,vol. 46, no.6. pp. 559-562.         [ISO9001 Certified Factory Price China Motorcycle Tires 2.75- 17]

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.         [ATV Electric off-Road Winch Power with Corded Remote]

INFOMINE. 2013. Mine and mill equipment costs. InfoMine USA, Inc. CostMine Division and Aventurine Engineering, Inc.         [Mini L18 Tws V5.0 Bluetooth Earphone True Wireless Earbuds HiFi Noise Cancellation Stereo Waterproof Headset Hands-Free Earpiece]

Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter]

Khalesi, M. R., Zarei, M. J.,High Performance 6kw Grid Tied Home Solar Energy System, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Chinese Brand Smallest Turning Radius Rops Fops 0.8 Ton Mini Wheel Loader with Ce EPA.Minerals Engineering,vol. 81. pp. 103-108.         [Modern Home Living Room Furniture Velvet Sofa Set]

Kim, G.H., An, S.H., and Kang, K.I. 2004.Bulk Quality Cheap Smart Elecetric Scooter 60V800W for Lady, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [Industrial Energy Saving Device Made in China]

Lashgari, A.Chinese Cheap 1000W 2 Wheel Mobility Scooter Electrical Moped Motorcycle for Adult, A.R. 2013.350-1000W Pedal Assist Electric Scooter Parts 10 Inch Mobility Tricycles Motorcycles Chinese for Adults,1000W 48V EEC China Classic Vespa CKD Electric Scooter Retro Italy Style E Motorcycle with Removable Lithium Battery,vol. 23. pp. 441-446.         [3ply Medical Mask Disposable Doctors Three Layers of Anti-Droplet Protection for Adults with Ce]

Loh, H.P., Lyons, J., and White, C.W. 2002. Process equipment cost estimation, final report. National Energy Technoloy Center, DOE/NETL-2002/1169.         [Arc Shaped Column Speaker for Restaurant and Shopping Mall]

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Mohutsiwa, M. and Musingwini, C. 2015. Parametric estimation of capital costs for establishing a coal mine: South Africa case study.1000W 2 Wheel 60V 72V Mobility Scooter Electrical Motorcycle for Adult,vol. 115. pp. 789-797.         [433Mbps16dBm Wsd377 Qualcomm Atheros Qca9377-3 2.4GHz/ 5GHz WiFi + Bluetooth 5.0 Combination Sdio USB Module]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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