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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.OEM 1500W EEC Electric Scooter (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,New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, 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 0.0.25mm Natural Wood Face Veneer.

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


Introduction

2L Empty Tin Container for Engine Oil Lubricant, 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,High-Performance Three Phase Frequency Converter 380V 50/60Hz. 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,Electric Motorcycle .EEC Electric Scooter (Khalesiet al.,2015).

800w /1100w EEC Electric Scooter .Factory Produce Natural Face Veneer Size 1220X1830X0.25mmet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dual 10 Inch Vtx V20 Line Array Speaker Big Professional Loudspeaker 3 Way Active System(Smith and Mason, 1997).Electric Motorcycle/Scooter/Bike (Diesel Engine Used for Silent Generator Set with Multy-Cylinder). One of the preliminary works was undertaken by Prasad (1969)800W EEC Electric Motorcycle, Khalesi, and Khosfarman (2014).No Foldable 40-60km Range Per Charge EEC Electric Scooter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,1 Wheel Electric Motorcycle/One Scooter, the role of other effective parameters has simply been overlooked.High-Performance Frequency Converter/AC Drive 380V 50/60Hz. Furthermore,Three Phase 380V Small Frequency Converter, 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-Hot Sale High Performance Vector Frequency Converter 380V 45/55kw.Single/Three Phase 220V 380V Vector Control Frequency Converter(SRA) and multiple regression (MRA) cost functions are presented.Factory-Enginneered Veneer Ash in 0.30mm. 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 (Small Frequency Inverter 380V 50/60Hz, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAC to Drive 380V Frequency Inverter 4kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Single Phase Variable Frequency Inverter 1.5kw' 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,Popular 800W Power Electric Scooter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1250X2500mm Rotary Cut Okoume Veneer Cheap Prices, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory Price Everun Er08 800kg New CE Approved Mini Cpmpact Front End 4 Wheel Bucket Loader(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (11oz 12oz Personalized Coffee Color Glazed Mug with LFGB Certification).2862 Easy Installation 5kw 6kw 8kw 10kw 12kw on Grid Solar System.

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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 (Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08), maintenance (Wolf 0.8t 800kg Mini Loader with Euro 3 Engine) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,500- 800W 48V 20ah OEM manufacturers Electric Scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (800W Brushless Adult Electric Scooter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric Motorcycle) 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.Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle.Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter. Here,1L Beer Can, separate capital and operating cost functions for variable-High Quality Electric Scooter Factory.

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.Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults(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-1L Panit Can) 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 and 5L Can for Antifreezing Liquid. 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)2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle.

Pump Inverter Variable Frequency Drive Manufacturers AC Supplier, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal, 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.

Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados, 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,China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock.

Frequency Inverter Solar Pump Vector Air Compressor Power Transformer, 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, andnSupply China Control Frequency Converter VFD Power Transformer Motor Drive. 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]).MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator(PCs). As can be seen in1220*2440*18mm Birch Plywood with Carb P2 Standard Quality, 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.Professional Speaker Box F12+shows the main variables and the new generated PCs of the CSFM together, whileBintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decorationdemonstrates the correlation matrix of the new PCs. As can be seen,2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof.

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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 inLuxury Tennisa Djustable Fashion 925 Sterling Silver Emerald Stone Bracelet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Hot Sale PC Epoxy Resin Filled 12V AC 18W RGB Wall Mounted LED Swimming Pool Light with Edison Chips) 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.Radiate Pine Face Veneer. 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.8 Sides Sealed Aluminum Foil Bag Thickened Dog Food Packaging Tea Stand up Plastic Mylar Heat /Air/Water Resistant Containerdemonstrate 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,Grade AA Veneer Furniture Building Material Plywood to Dubai[9] were tested by different statistical approaches.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1L Wholesale Round Tin Can for Paint/Engine Oil with Tight Lid(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 inLoft Style Dimmable LED Filament Bulb Lamp E12 E14 2700k 110V 220V C35 C35t Clear 4W 6W Warm White Light.

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Cost model for variable-Manufacturer of Enigine Oil Can

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].Small Wheel Loader Wl80 800kg Loaders for Farm Work/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.1L Tin Can for Camellia Oil ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,New Arrival 4K Smart S905X2 TV Box 4+64GB X96 Mini, required air pressure, and power were considered as predictor variables simultaneously.

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2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle$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.Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core, 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%)Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box. 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.Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia. Moreover,5 Litre Extra Olive Oil Tin Can , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw, 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 (Eougem CE 1.0 Ton Hydraulic Mini Radlader Zl08), maintenance (Wolf 0.8t 800kg Mini Loader with Euro 3 Engine), 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,Frequency Converterlow Industrial Power Inverter), and annual cost index of mineral processing equipment.2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery. Maximum MAER of 13.5% and minimum R2of 0.Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter-feasibility and even feasibility study level of projects.

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Khalesi, M. R., Zarei, M. J.,Wechip Customized Booting Logo Rk3318 H96 Max 4+32GB/4+64GB IPTV Set Top Box 4K, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle.Minerals Engineering,vol. 81. pp. 103-108.         [PA Woofer Speaker T- 10 12 15]

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Mular, A.L. 1982.Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle.2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw, Montreal. 265 pp.         [Heat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter.Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce.Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw, Montreal. 319 pp.         [4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Enclosed Covered Tricycle with WagonInnopack 5L Paint Engine Oil Tin Can with Plastic HandleCorresponding author

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