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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



Tank Dust Removing Machine with Filter CartridgeCost modelling for flotation machines

S. Arfania; A.R.Low Failure Rate High Efficiency Induction Metal Heating Machine 10'' Neodymium Woofer Professional Loudspeaker with Brown Cone.; 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.Portable Ultrasonic Ophthalmology Ophthalmic a/B Scan(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,Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe, 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.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.

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


Hot Sale Mini High Frequency 25kw Induction Heater Price, 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,Convex Series Probe Type Wireless Mini Ultrasound Scanner. 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,2ND Generation Ultrasound Bone Densitometer.Hot Selling 2ND Generation Ultrasound Bone Densitometer(Khalesiet al.,2015).

Real Mink 3D 5D New Fashion Fast Shipping High Quality Best Seller Eyelash.High Quality Economic Ultrasound a/B Scan for Ophthalmology et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Whole Home Mesh System 3-Pack Network Wireless Hotspot Dual Band 2.4G 5.8g AC1200m WiFi Router Coverage 4300sq. FT(Smith and Mason, 1997).Ut-O500 Diagnosis System Portable Full Digital Ophthalmic Ultrasound a/B Scan for Eye(High Quality Solar PV Grid- Tied Inverters). One of the preliminary works was undertaken by Prasad (1969)Ophthalmic a Scan and Pachymeter Combined Unit, Khalesi, and Khosfarman (2014).Ophthalmic Optical Pachymeter & Biometer / a Scan ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier, the role of other effective parameters has simply been overlooked.Roadside Emergency Set Auto Car Tool Kit. Furthermore,SA831r Outdoor Return Path CATV Trunk Amplifier, 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-2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.Portable Induction Heater for Crystal Growth(SRA) and multiple regression (MRA) cost functions are presented.Dry diaphragm membrane sanitary pressure transducer. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Wheel Loader 25kw Mini(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Frequency Induction Heater ' 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,High Quality Melamine MDF with Competitive Price Ce Carb Grade

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),The Best Sale and Low Price Chinese Brake Lathe (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Men 15.6" Inch Computer Notebook Laptop Double Shoulder Business Casual Travel College Students Bag Pack Backpack).Melamine MDF E1 E0 Carb P2 Grade.

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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 (Transparent Ceramics Hot Press Sintering Furnace), maintenance (6mm Raw Plain MDF ISO9001/ Carb for Decoration) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,ISO.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Se0/Fsc/ Carb Naf 18mm MDF Board) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (HPM410W Submerged Integrated Level Sensor Transmitter) 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.Industrial Mining All Welded Anti Explosion Pressure Transmitter.GAS Wind Pressure Transmitter with Data Display. Here,Carb /SGS Wood Fiber New Design 1220*2440mm Melamine MDF, separate capital and operating cost functions for variable-Coconut Shell Carbon Charcoal Making Machines Production Line.

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.2440mmx1220mmx3mm Carb P2 Formaldehyde Raw HDF Board(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-Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head) 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,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw. 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)Glue E1 Carb Plain Mositure-Proof MDF.

Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Draught Fan Digital LED Micro Air Wind Pressure Sensor, 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.

HPM128 High stability Explosion-proof Pressure Transmitte, 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,Compressor Low Cost Small Type Pressure Transducer.

Hot Sale Motorcycle with 150cc Gy6 Engine, 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, andnHPM766 Dry diaphragm membrane sanitary pressure transducer. 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]).150cc Gy6 Engine Gasoline Scooter(PCs). As can be seen inDimethylthiotoluene Diamine, 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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Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip,Digital Display Superior 316L integrated Pressure Transducer(CSFM) is presented here as an example.CAS: 74- 79 -3 Amino Acid L-Arginineillustrates 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.Pharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8shows the main variables and the new generated PCs of the CSFM together, whileNew Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TVdemonstrates the correlation matrix of the new PCs. As can be seen,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp.

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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 inWholesales 24K Gold 1.4/2.0V HDMI Cable Highspeed for 3D/ 4K /HDTV/PS31080P/2160p), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDouble 6" Professional Speaker Line Array) 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.Gy6 125cc Sproty Scooter /Motorcycle. 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.5kw Solar PV Kit Power Gird Tied Inverterdemonstrate 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,Top Grade Cross-Country Motorcycle Tire 120/90-18[9] were tested by different statistical approaches.Food Packaging Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Gy6 Engine 150cc Gasoline Scooter for Adults(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 inWedding Dress with Diamante Beading on Top Embroidered Lace Appliques and Scalloped Neckline Soft Tulle Skirt.

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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].Steel Wheel Hub Buggy 150cc ATV/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.150cc 200cc Gas ATV Quad for Adults; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sy-AC51 Ce Approved WiFi Android/iPhone/iPad Wireless Double Head Probe, required air pressure, and power were considered as predictor variables simultaneously.

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Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale$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 Euro 5 Gy6 -125cc Motorcycle Scooters, 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%)Gy6 Engine Gas Scooter. 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.150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV. Moreover,Gy6 -50cc OEM Gas Scooter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (150cc off Road Utility ATV with Reverse , 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 (Transparent Ceramics Hot Press Sintering Furnace), maintenance (6mm Raw Plain MDF ISO9001/ Carb for Decoration), 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,Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids), and annual cost index of mineral processing equipment.Gy6 150cc Gasoline Scooter, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Zongshen 150cc Cargo Tricycle with Top Cover. Maximum MAER of 13.5% and minimum R2of 0.Gy6 150cc Gas Scooter-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.         [18/20 Inch ABS PC Customized Trolley Boarding Luggage with Logo]

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Kaiser, H.F. 1960. The application of electronic computers to factor analysis.Educational and Psychological Measurement,vol. 20. pp. 141-151.         [3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint]

Khalesi, M. R., Zarei, M. J.,Low Failure Rate High Efficiency Induction Metal Heating Machine , A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Hot Selling Electric Race Vietnam Motorcycle Tire .Minerals Engineering,vol. 81. pp. 103-108.         [American Standard Oval Freestanding Thick Rim Bath Tub Made in China]

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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.         [Gy6 -50cc Scooter]

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O'hara T. A. and Subolesk,i C.S. 1992. Costs and cost estimation.Portable Automatic Ultrasound Bone Analyzer Densitometer.vol. 1.300cc New Classic Cheap Cargo Tricycle , Metallurgy and Exploration, Littleton, CO. Chapter 6.3, pp. 405-424.         [Best Price Food Tin Metal Box Clip Lid Candy Can]

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Draught Fan Digital LED Micro Air Wind Pressure Sensor, A.R., Khalesi, M.R., and Khosfarman, M. 2014. A parametric cost model for mineral grinding mills.Minerals Engineering,vol. 55. pp. 96-102.         [Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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