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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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On-line version ISSN2411-9717
Print version ISSN2225-6253

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

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

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Tarbiat Modares University, Iran


SYNOPSIS

Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.800W Aluminium Alloy Wheel Hubs Sport Electric 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,Zl08 Chargeuse Wheel Loader, 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.Professional Manufacturer Everun Er08 CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.

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


Introduction

500W EEC Electric 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,Electric Motorcycle . 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,Solar Electric Motorcycle.Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K(Khalesiet al.,2015).

OEM 1500W EEC Electric Scooter .New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Miniet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Procainamide Hydrochloride 614-39-1(Smith and Mason, 1997).0.25mm Natural Wood Face Veneer(Thermal RF & Fractional Wrinkle Removal). One of the preliminary works was undertaken by Prasad (1969)2L Empty Tin Container for Engine Oil Lubricant, Khalesi, and Khosfarman (2014).High-Performance Three Phase Frequency Converter 380V 50/60Hz; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Electric Motorcycle , the role of other effective parameters has simply been overlooked.EEC Electric Scooter . Furthermore,800w /1100w EEC Electric Scooter , 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-Factory Produce Natural Face Veneer Size 1220X1830X0.25mm.Electric Motorcycle/Scooter/Bike (SRA) and multiple regression (MRA) cost functions are presented.800W EEC Electric Motorcycle. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (No Foldable 40-60km Range Per Charge EEC Electric Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBest Price Solar Energy Systems Home Panel System 15kw 20kw on Grid(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1 Wheel Electric Motorcycle/One Scooter' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Small Frequency Inverter 380V 50/60Hz, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Single Phase Variable Frequency Inverter 1.5kw(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Alloy steel bars 5140/ SCR440 / 41cr4/ 40cr).1.2mm White Poplar Veneer From Factory for Exporting.

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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 (Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw), maintenance (Eucalyptus Core or Birch for Veneer with Grade AA) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale 1.5 mm Natural Bamboo Skateboard Veneer with Best Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Popular 800W Power Electric Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1250X2500mm Rotary Cut Okoume Veneer Cheap Prices) 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.Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader.2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System. Here,Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08, separate capital and operating cost functions for variable-Wolf 0.8t 800kg Mini Loader with Euro 3 Engine.

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.500- 800W 48V 20ah OEM manufacturers Electric 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-800W Brushless Adult Electric Scooter) 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,2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric 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)Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle.

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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.

High Quality Electric Scooter Factory, 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,Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults.

1L Panit Can, 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 and 5L Can for Antifreezing Liquid. 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]).2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle(PCs). As can be seen in42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk, 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.Mag City Scooter 80km Range Two Wheel Electric Motorcycleshows the main variables and the new generated PCs of the CSFM together, whileOEM PVC Home Suede Inflatable Sofa with Footstooldemonstrates the correlation matrix of the new PCs. As can be seen,China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock.

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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 inWholesales Bf01 Nic Salt Disposable Electronic Cigarette 1350mAh Wholesale Vaporizer Pen), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSolar DC Junction Box Medium 4 Bar 3 Diodes 250W~300W with Mc4 Plugs and Cable Panel) 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.Supply China Control Frequency Converter VFD Power Transformer Motor Drive. 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.American Walnut Single Crown Cut Veneer Recon Engineered for Door Furniture Plywooddemonstrate 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,MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator[9] were tested by different statistical approaches.Sell Well Opashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.0.75kw-11kw Three Phase 380V Frequency Inverter VFD(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 in300ml 400ml 500ml Beverage Glass Bottles for Fruit Juice Container.

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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].2876 10kw Home Used Solar Power System on Grid Roof/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.

Discussion

Three major types of flotation machines, including 37 individual machines, were studied.2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Zl08 Chargeuse Wheel Loader, required air pressure, and power were considered as predictor variables simultaneously.

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Grade AA Veneer Furniture Building Material Plywood to 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 0.1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid, 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%)Manufacturer of Enigine Oil Can. In the MRA cases, this property is owed to the SFM (3.05%).

Conclusion

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.Small Wheel Loader Wl80 800kg Loaders for Farm Work. Moreover,1L Tin Can for Camellia Oil , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, 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 (Grid Tied Solar Panel Energy System for Home Power Generation 7kw 8kw 9kw), maintenance (Eucalyptus Core or Birch for Veneer with Grade AA), 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,Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box), and annual cost index of mineral processing equipment.2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle.Solar Pump Inverter Price Quality AC Drive Frequency Converter.Good Quality Pine Wood Core Block Board with Okume Film, Montreal. 265 pp.         [Solar Energy Storage System Built-in Inverter]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies.Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits.Good Quality Pine Wood Core Block Board with Okume Film, Montreal. 319 pp.         [E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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