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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. 2017Â


Zongshen 150cc Cargo Tricycle with Top CoverCost modelling for flotation machines

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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.150cc ATV for Adults Lmatv-150hm(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,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, 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.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip.

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


L5s Underground Ming Tyres Smooth Pattern 12.00-24 17.5-25 18.00-25 26.5-25, 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,150cc Quad 4WD ATV for Adults. 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,Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip(Khalesiet al.,2015).

2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty.5kw Grid Tied Solar Inverter Three Phase for Home Useet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2.4GHz Outdoor Wireless Bridge 300Mbps Tdma High Power 500MW(Smith and Mason, 1997).High Quality Solar PV Grid- Tied Inverters(Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker). One of the preliminary works was undertaken by Prasad (1969)2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip, Khalesi, and Khosfarman (2014).Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2 Ton Loader 3 Wheel Cargo Tricycle, the role of other effective parameters has simply been overlooked.Grid Tied Inverter 3kw. Furthermore,5kw Solar PV Kit Power Gird Tied Inverter, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Factory Mining Tyre.Low Frequency Solar Inverter Hybrid Mode Grid- Tied and Store Power(SRA) and multiple regression (MRA) cost functions are presented.150cc Front Cabin Cargo Tricycle. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (OTR G2 Grader Tubeless Tyre 17.5-25, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Metal Screw Top Round Machine Oil Tank' 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,17.5-25 20.5-25 23.5-25 26.5-25 29.5-25 OTR Tire for Loaders

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Artificial Decorative Garland Christmas Wreaths Outdoor PVC Wreath).China Electric Tricycle 350W 500W 800W for Adult.

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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 (Llantas High Quality L5 OTR Tyre 26.5-25), maintenance (1L Empty Round Brake Fluid Can Boxes) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Motor King Rear Double Axle Tricycle for Heavy Loader) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coding) 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.1L Custom Metal Round Tin Cans Box Packaging for Glue Coating Slovent.1L /1000ml Extra Virgin Olive Oil Metal Can. Here,1L Olive Oil Can Cooking Empty Tin Can/Pot Metal, separate capital and operating cost functions for variable-Heavy Loader 5wheel Cargo Tricycle with Cabin.

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 Precision and Fast Speed Nonmetal CO2 Laser Marking Machine(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-Motor Cargo Tricycle for 2-3ton Loader) 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,1L Empty Round Tin Can with Plastic Lid Manufacturer. 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)1L Extra Virgin Olive Oil Metal Can with Cover.

Solar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gy6 -125/ 150ccformaular, 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.

Double Chasis Cargo Tricycle, 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,Euro 5 Gy6 -50cc 4t Moped.

Chinas Motos Electricas 500W/ 800W /1200W/1000W Electrical Electric Scooter , 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, andnWater Proof Closed Box Delivery Tricycle. 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]).3840watts 50Hz 80A Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate(PCs). As can be seen in500ml Round Resealable Tin Can with Easy Open Screw Top Lid, 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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3840watts AC Output 80A 50Hz 220V Silent Power Portable Electric Storage and Generator with CE Certificate Built-in Inverter,Oil Petrol Anti Corrosive Tantalum Diaphragm Pressure Sensor(CSFM) is presented here as an example.High-Performance Variable Frequency Inverter 3-Phase 380Villustrates 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.Morin Professional Audio 10inch Line Array Speaker Tw- 10 & Tw-18 Subshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality European Style Modern Furnituredemonstrates the correlation matrix of the new PCs. As can be seen,20/30/50/60/100W Raycus Max Jpt Ipg Table 3D CO2 Mopa Color Logo Printer Marker Fiber Laser Marking Machine.

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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 inChina Supplier Earloop 3 Ply Medical Face Mask), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5) 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 0.250W- 800W Handicapped Mobility Scooter for Old People with Basket. 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.Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Pathdemonstrate 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,with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty[9] were tested by different statistical approaches.Motorcycle Spare Part Turn Light for Gy6 -150shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A 220V AC Output Enjoys 2 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 inCustomized Full 3D Cartoon Hot Toy Action Figures.

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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].Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W/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.Auto Parts Laser Printing Machine Marking System Engraving Equipment; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.

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2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W$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.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty, 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%)30W CO2 Touch Screen Laser Marking Coding Engraving Machine. 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.with Built-in LiFePO4 Energy Storage Portable Generator 3.8kwh Enjoys 2 Years Warranty. Moreover,Solid State Inductive Heating Furnace for Tyre Cord Wire, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Factory Supply Biomass Rice Husk Charcoal Making Machine, 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 (Llantas High Quality L5 OTR Tyre 26.5-25), maintenance (1L Empty Round Brake Fluid Can Boxes), 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,Hospital Equipment Portable Ultrasound Bone Densitometer at Best Price), and annual cost index of mineral processing equipment.Ce Approved Ho-100 Eyes Hospital Use Ophthalmic Ultrasound Scanner, and over- extrapolation could result in misguiding estimates.

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Khalesi, M. R., Zarei, M. J.,New Mini Willys Jeep Available on 110cc, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Camping Power / RV LiFePO4 Energy Storage Portable Generator 3.8kwh 80A Enjoys 2 Years Warranty.Minerals Engineering,vol. 81. pp. 103-108.         [Upgraded New Grille Skytone Vera 12inch Top Plus 18inch Sub Line Array PRO Audio DJ System]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Hot Sale Hy-688 Polyamide ResinGy6 150cc Gasoline ScooterCorresponding author

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