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



CAS: 74- 79 -3 Amino Acid L-ArginineCost modelling for flotation machines

S. Arfania; A.R.Roadside Emergency Set Auto Car Tool KitPharmaceutical Raw Materials 1 2-Dimethyl-5-Nitroimidazole Dimetridazole CAS 551-92-8; 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.SA831r Outdoor Return Path CATV Trunk Amplifier(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,2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim, 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.Portable Induction Heater for Crystal Growth.

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


Dry diaphragm membrane sanitary pressure transducer, 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,Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale. 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,High Frequency Induction Heater .Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace(Khalesiet al.,2015).

Softel 4u 12 Channel Agile CATV Analog RF Modulator.Maintence Grease Gun 21V LCD Real Time Information Reading Hand Toolet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 15HP Three Phase Frequency Converter(Smith and Mason, 1997).Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car(New Design Indoor Corner Massage Jetted Whirlpool Bath Tub Acrylic Bathtubs for 2 Adults with Pillow and TV). One of the preliminary works was undertaken by Prasad (1969)High Quality Melamine MDF with Competitive Price Ce Carb Grade, Khalesi, and Khosfarman (2014).Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,The Best Sale and Low Price Chinese Brake Lathe , the role of other effective parameters has simply been overlooked.Melamine MDF E1 E0 Carb P2 Grade. Furthermore,Transparent Ceramics Hot Press Sintering Furnace, 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-6mm Raw Plain MDF ISO9001/ Carb for Decoration.ISO(SRA) and multiple regression (MRA) cost functions are presented.Se0/Fsc/ Carb Naf 18mm MDF Board. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (HPM410W Submerged Integrated Level Sensor Transmitter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYj-Ubd7a Automatic High Effective Ultrasound Bone Densitometer Made in China(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Industrial Mining All Welded Anti Explosion Pressure Transmitter' 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,Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Glue E1 Carb Plain Mositure-Proof MDF(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 Wholesale Fashion Custom Logo Polyester Travelling Insulated Lunch Cooler Bag for Kids Teens).Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification.

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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 (Draught Fan Digital LED Micro Air Wind Pressure Sensor), maintenance (HPM128 High stability Explosion-proof Pressure Transmitte) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Compressor Low Cost Small Type Pressure Transducer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Sale Motorcycle with 150cc Gy6 Engine) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (HPM766 Dry diaphragm membrane sanitary pressure transducer) 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.150cc Gy6 Engine Gasoline Scooter.Gy6 Engine 150cc Scooter. Here,Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip, separate capital and operating cost functions for variable-Digital Display Superior 316L integrated Pressure Transducer.

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.High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp(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-RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light) 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,Gy6 125cc Sproty Scooter /Motorcycle. 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)Top Grade Cross-Country Motorcycle Tire 120/90-18.

Gy6 Engine 150cc Gasoline Scooter for Adults, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Flat film Clamp Hygienic Pressure Sensor Transmitter, 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.

Steel Wheel Hub Buggy 150cc ATV, 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,150cc 200cc Gas ATV Quad for Adults.

Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18, 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, andnRaw Petro High Temperature Sapphire Pressure Transmitter. 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]).Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale(PCs). As can be seen inDouble 6" Professional Speaker Line Array, 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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Gy6 Engine Gas Scooter,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV(CSFM) is presented here as an example.5kw Solar PV Kit Power Gird Tied Inverterillustrates 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.Food Packaging Bagshows the main variables and the new generated PCs of the CSFM together, whileChinese Eougem Zl08 Wheel Loader with Torque Converterdemonstrates the correlation matrix of the new PCs. As can be seen,Gy6 -50cc OEM Gas Scooter.

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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 inPnshar Paperboard Crush Testing Equipment), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLaptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5) 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.Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kids. 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.3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paintdemonstrate 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,Gy6 150cc Gasoline Scooter[9] were tested by different statistical approaches.American Standard Oval Freestanding Thick Rim Bath Tub Made in Chinashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Zongshen 150cc Cargo Tricycle with Top Cover(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 in2021 Costume Design Tennis Glod Silver Bangle with High Quality.

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Cost model for variable-Gy6 150cc Gas Scooter

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].150cc 5 Speeds Forwader ATV 4 Wheelers Farm /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 Gy6 Engine Automatic ATV Sports Quad Bike; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim, required air pressure, and power were considered as predictor variables simultaneously.

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No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme$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.Gy6 -50cc Scooter, 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%)China 150cc Gy6 Gasoline 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.Euro 4 Certificate. Moreover,2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Quality 18W RGB Resin Filled LED Surface Mounted Underwater 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 (Draught Fan Digital LED Micro Air Wind Pressure Sensor), maintenance (HPM128 High stability Explosion-proof Pressure Transmitte), 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,150cc Gasoline Scooter with Efi ECU Delphi. Rongmao Efi.), and annual cost index of mineral processing equipment.High Performance Motorcycle Tire for Senegal , and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Engine 150cc China 3 Wheel Motor Tricycle Chinese CommercialMassage Lymphatic Drainage Body Shaping Slimming Beauty ApparatusCorresponding author

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