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


IN-AC5MC USB mobile scan cheapest pocket handheld hospital ultrasound scannerCost modelling for flotation machines

S. Arfania; A.R.Growatt 50000W 60000W 70000W 80000W Grid Tied Solar Inverter150cc 200cc 250cc ATV Quad Bike for Adults; 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.Hot Selling Tricycle 250cc/ 300cc Three Wheel Motorcycle(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,ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork, 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.Sp-1000ap Ophthalmic a Scan and Pachymeter.

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


Adult 150cc 200cc 300cc EPA Approved Three Wheel Mptorcycle Scooter, 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,300cc Road Legal Ault Street Gas Three Wheel Scooter. 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,China Supplier Ophthalmic Equipment Ultrasound Ab Scan.Vimode Electric Scooter Adult Motorcycle for Adults 800W(Khalesiet al.,2015).

150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle.Heavy Duty Tricycle 250ccet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 300cc New Classic Cheap Cargo Tricycle (Smith and Mason, 1997).Electric Motorcycle Fashion Design 800W with Removable Battery(Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China). One of the preliminary works was undertaken by Prasad (1969)City Scooter 800W Long Range Electric, Khalesi, and Khosfarman (2014).800W Electric Scooter Motorcycle Bicycle with Folding Rack; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India, the role of other effective parameters has simply been overlooked.Sporty 500W/ 800W /1000W. Furthermore,5GHz 10dBi Outdoor WiFi Omni Antenna , and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner.Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China(SRA) and multiple regression (MRA) cost functions are presented.Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Police Motorcycle 250cc, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inASME B36.10m Welded Stainless Steel Tube Nps 1 Sch Xxs ASTM B167 Uns N06690(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;125cc Scooter EEC Popular Motor Alex' 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,Motorcyle for Both Oil and Water Cooling

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,150cc China Gas Motor Cargo Trike for Sale , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sw-1000p Ophthalmic Pachymeter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021 New Products 3D High Quality Acrylic Box Preserved Rose Flower Arrangement Unicorn for Valentines Gifts).Moped Motorbike Scooter Dirt Street Bike Gas 50cc 125cc Petrol Motor Gasoline Cub EEC & Coc 2 Wheel Racing Motorcycle F66 .

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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 (24 Modules Fixed Head End CATV Modulator), maintenance (860MHz Two Way Amplifier ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,5GHz Parabolic Grid Antenna 24dBi.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 30dBi Mimo Dish Antennas) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Factory Supplier Ophthalmic Equipment Ab Scan) 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.Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna.24 Channels Fixed Modulator. Here,5150-5850MHz Sector Panel Antenna 2*17dBi, separate capital and operating cost functions for variable-12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar.

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.Replica Aluminum Alloy Wheels for Skoda(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-Best Price Sab-500 Ophtalmic Ab Scan) 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,Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25. 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)Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650.

80kw Grid Tied Solar System for Commercial or Industrial Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System, 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.

Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type, 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,Ophthalmic Equipment Biometer Scan a.

0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer, 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, andn860MHz CATV One Way Amplifiers. 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]).CATV Mini Line Extending 2-Way Amplifer(PCs). As can be seen inBest Price O-Phthalaldehyde, 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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860MHz Two Way Amplifier ,Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle(CSFM) is presented here as an example.Everun 0.8ton Chinese Articulated Mini Wheel Loaderillustrates 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.Padlock-G38PDPshows the main variables and the new generated PCs of the CSFM together, whileSquare Engine Oil Can Metal Paint Tin Container with Plastic Liddemonstrates the correlation matrix of the new PCs. As can be seen,Ophthalmic a Scan Portable Handheld Biometer.

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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 in25" Smart LED TV Stand Full HD Flat Screen IPTV Digital 3D Television), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !) 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.Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System. 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.Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25demonstrate 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,500W Air-Cooled Wide Band UHF Digital TV Transmitter DTV[9] were tested by different statistical approaches.Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tileshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.10kw Cheap Solar Panels Complete Grid Tied System(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 LED Small Solar Wall Light Photocell Sensor Motion.

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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].Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack/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.1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,ACTIVE AL908 0.8 ton Mini Wheel Loader with Wood Gripper and Pallet Fork, required air pressure, and power were considered as predictor variables simultaneously.

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China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai$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.Everun Er08 CE Wheel Loader with Standard Bucket for Sale, 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 Cpm Zl08 Mini Wheel Loaders with Price List for Sale. 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.Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V. Moreover,Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (18watt IP68 AC Resin Filled Wall Mounted Waterproof LED 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 (24 Modules Fixed Head End CATV Modulator), maintenance (860MHz Two Way Amplifier ), 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,Samll EPA 0.8ton Tractor Loader), and annual cost index of mineral processing equipment.Closed Motorized China Cargo Tricycle with Box , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Covered Tricycle Carriage Closed Cargo Box. Maximum MAER of 13.5% and minimum R2of 0.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty-feasibility and even feasibility study level of projects.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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