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


12" Loudspeaker as Monitor Speaker System 12 Inch Powerful CoaxialCost modelling for flotation machines

S. Arfania; A.R.3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE CertificateChin Top Supplier Supply L- ; 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.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warranty(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,Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, 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.Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi.

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


381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer, 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,IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer. 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,CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices.100W Full Enclosed Fiber Laser Marking Machine with Safe Cover(Khalesiet al.,2015).

20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser.for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 55inch wall mount LCD panel surveillance LED video(Smith and Mason, 1997).600W- 800W 48V/60V Lead-Acid Battery Electric Scooter(5GHz High Power Outdoor Wireless CPE Ap by Factory Isigal). One of the preliminary works was undertaken by Prasad (1969)Best Selling Electric Scooter Mini 800W , Khalesi, and Khosfarman (2014).150cc Automatic Racing Sports Exclusive Design ATV ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Cheap 200cc and 150cc Farm Utility ATV, the role of other effective parameters has simply been overlooked.1GHz Outdoor Bi-Directional CATV Amplifier. Furthermore,New Mini Willys Jeep Available on 110cc, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Hot Sell 800W Delivery City Electric Scooter for Take-out Business.2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric(SRA) and multiple regression (MRA) cost functions are presented.My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (3kw Liquid Cooling UHF Digital TV Transmitter DTV, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in10W Tabletop Series Fiber Laser Marking Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter' 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,Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (500 Kg/Hr Powder Coating Production Line Machine).Closed Canvas Box 2 Ton Cargo Tricycle.

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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 (Sanyou 125cc Efi System with Delivery Box Gas Scooter), maintenance (New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (250cc Oil Cooling Dirt Bike with EPA) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter) 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.250cc Gasoline off Road Motorbike.0.6m 5GHz Parabolic Antenna with Gain 28dBi. Here,Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart, separate capital and operating cost functions for variable-150cc 200cc 250cc ATV Quad Bike for Adults.

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.4 Stroke Buggy 150cc ATV(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-High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS) 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,The Newest 110cc 125cc 150cc Toyota Mini Buggy . 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)High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS.

High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.4m 5GHz Parabolic Antenna with Gain 23dBi, 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.

Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price, 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,5 Wheels Gasoline Cargo Tricycle with Front Cabin.

IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, 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, andnSofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on. 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]).New Mini Willys Jeep Available on 110cc(PCs). As can be seen inEnergy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, 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.Food Additives L-Arginine with Low Priceshows the main variables and the new generated PCs of the CSFM together, whileCheap Safety Scooter 2 Wheel Bicycle E Trike Cargo Tricycle Electric Motorcycle for Adultdemonstrates the correlation matrix of the new PCs. As can be seen,L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25.

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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 in20oz 30oz Insulated Vacuum Tumbler Cold Cup), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFrequency Inverter Converter 50Hz 60Hz) 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.Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty. 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.5150-5850MHz Sector Panel Antenna with Gain 13dBidemonstrate 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,IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip[9] were tested by different statistical approaches.Zl08 800kg China Small Garden Tractor with Front Loader Yardshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty(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 Oft Brand2008 Honda Civic Serpentine Belt S8m.

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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].High Quality Solar PV Grid- Tied Inverters/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.2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, required air pressure, and power were considered as predictor variables simultaneously.

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Grid Tied Inverter 3kw$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 0.5kw Solar PV Kit Power Gird Tied Inverter, 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%)Factory Mining Tyre. 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.Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power. Moreover,150cc Front Cabin Cargo Tricycle, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (OTR G2 Grader Tubeless Tyre 17.5-25, 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 (Sanyou 125cc Efi System with Delivery Box Gas Scooter), maintenance (New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle), 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,1L Metal Screw Top Round Machine Oil Tank), and annual cost index of mineral processing equipment.Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Sulfasalazine CAS No. 599- 79 -1Frequency Inverter Pump AC Drive PriceCorresponding author

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