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


11 Kw Synchronous Motor Close Loop Inversor AC Drives VFD Frequency Inverter PowerCost modelling for flotation machines

S. Arfania; A.R.300cc Triciclo Con CabinaStc-12kw/15kVA Three Phase AC Electric Generator on Sale; 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.Three Wheel Trolley Tube Type Tire 90/90-18(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,High accuracy stability Monocrystalline Silicon Pressure Transmitter, 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.Discount High Strength 90/90-19 Motorcycle Tyre/Tire.

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


New Pattern Best Price 110/90- 17 Motorcycle Tire, 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,Tire Brands to Avoid 2.50- 17 Solid Tire.. 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,2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for.Lashes 3D Wholesale Vendor Full Strip False Eyelashes 20mm(Khalesiet al.,2015).

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Thirty-seven major flotation machines (Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSkin Tightening(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;8-30inches Malaysian Straight Hair Bundles 100% Human Weaves' 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,Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,50cc EEC Motorcycle Scooter Efi Moped, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (2021multi-Function Outdoor Waterproof Lamp Human Body Induction 98 LED Solar Wall Light).50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi .

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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 (Zhenhua New T5 300cc Motorcycle Efi), maintenance (EEC Efi Racing Motorbike Motorcycles 125cc) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Motorbicycle with Efi Fuel Supply and Steel Tube Frame.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Speed Kawasaki Ninja Motorcycle 250cc) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Mini Nameplate Pneumatic Engraving Machine) 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.Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range.Mini electric truck/ express vehicle/ Express vehicles. Here,Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes, separate capital and operating cost functions for variable-BAW Made of Electric Car with Lithium Battery.

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.EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter(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-M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car) 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,50cc Monkey Bike Gasoline Motorcycle Euro4 Efi. 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)4x2 electric pickup truck/ Electric vehicle/ car.

Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2021 New Products Motor Power 800W Electric Trolley Tractor, 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.

Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines, 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,1L Tin Can with Metal Cap for Food Storage.

Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60, 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, andn1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid. 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]).Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs(PCs). As can be seen inBesr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line, 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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1L Cone Top Tin Can with Screw Cap,Gy6 -125 Motorcycle Spark Plug Cap Parts(CSFM) is presented here as an example.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panelillustrates 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.Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCDshows the main variables and the new generated PCs of the CSFM together, whileEougem Mini 0.8 Ton Front End Loader of Good Quality 25kwdemonstrates the correlation matrix of the new PCs. As can be seen,Mining Cement Stainless Steel 316L Protective Pressure Sensor.

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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 in8 Feet High Speed Veneer Peeling Machine for Plywood/Veneer Production Line /Wood Cutting), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar & Mains Storage Battery Charger with Inverter to 80AC 3840wh) 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.Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price. 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.Supply Ammonium Polyphosphate APP demonstrate 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,Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price[9] were tested by different statistical approaches.2L Empty Tin Container for Engine Oil Lubricantshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum(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 inProfessional OEM UV Nail Gel Polish /Customized Services in Large Quantities.

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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].CATV Indoor Amplifier 8200/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.4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High accuracy stability Monocrystalline Silicon Pressure Transmitter, required air pressure, and power were considered as predictor variables simultaneously.

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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.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi . Moreover,110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (3kwh LiFePO4 Battery with 5 Years Warranty, 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 (Zhenhua New T5 300cc Motorcycle Efi), maintenance (EEC Efi Racing Motorbike Motorcycles 125cc), 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,Anti Explosion High Stability Sealed Pressure Sensor), and annual cost index of mineral processing equipment.Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Screw Compressor Low Cost Small Type Pressure Sensor. Maximum MAER of 13.5% and minimum R2of 0.Solar Energy Storage System Built-in Inverter-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer.Lithium Battery 200ah LiFePO4 Pack 3kwh,vol. 46, no.6. pp. 559-562.         [Cheap 3 Wheel Cargo Tricycle with Box ]

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.         [Polished Solid Cemented Carbide Wire Guide Dies]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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