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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

GENERAL PAPERS

PE Geomembrane/Waterproof Sheet Extrusion LineCost modelling for flotation machines

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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.2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel 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,Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle, 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.Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter.

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


Introduction

1L Beer Can, 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 Quality Electric Scooter Factory. 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,Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults.1L Panit Can(Khalesiet al.,2015).

1L and 5L Can for Antifreezing Liquid.2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Adult Electric Motorcycle/Electric Bike/E-Bike W Waterproof with Double Disc Brakes/2 Wheel Scooter(Smith and Mason, 1997).Pump Inverter Variable Frequency Drive Manufacturers AC Supplier(Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price). One of the preliminary works was undertaken by Prasad (1969)Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal, Khalesi, and Khosfarman (2014).Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock, the role of other effective parameters has simply been overlooked.Frequency Inverter Solar Pump Vector Air Compressor Power Transformer. Furthermore,Supply China Control Frequency Converter VFD Power Transformer Motor Drive, 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-MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator.0.75kw-11kw Three Phase 380V Frequency Inverter VFD(SRA) and multiple regression (MRA) cost functions are presented.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System. 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 (2876 10kw Home Used Solar Power System on Grid Roof, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725g Yineng Mini Wheel Loader(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof' 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 Wheel Loader Wl80 800kg Loaders for Farm Work, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),1L Tin Can for Camellia Oil (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Denmark /Switzerland/Sweden /Poland/Hungary/ Europe /North America /Us From China Airfreight Cargo Aircargo FedEx UPS TNT EMS DHL Door to Service DDU / DDP).CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility.

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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 (Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box), maintenance (2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia) 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.5 Litre Extra Olive Oil Tin Can .DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw. Here,Frequency Converterlow Industrial Power Inverter, separate capital and operating cost functions for variable-2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use.

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.China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery(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-Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter) 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,DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw. 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)Low Price B/C/D/E Grade Wood/Natural Birch Veneer.

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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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies.

Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits, 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, andnTitan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch. 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]).Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter(PCs). As can be seen inDiesel Central Drive Three Wheel Dumper for Sale, 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.Cheap Power Motor Big Protect Frame Electric Scooter Motorcycle 60V800Wshows the main variables and the new generated PCs of the CSFM together, whileDJ Stage PRO Audio Indoor Club 15" Line Array Loudspeakerdemonstrates the correlation matrix of the new PCs. As can be seen,2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter.

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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 inLED Rigid Strip with Lens Backlight for LG Repair), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHeat Sealing Embossed Plastic Vacuum Packaging Bag for Delicatessen) 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.Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini. 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.Deltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021demonstrate results for the machines modelled in this research.

Multiple regression results

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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].Wolf Wl80 Mini Dumper Loader with Bucket/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.Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle, required air pressure, and power were considered as predictor variables simultaneously.

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Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader$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.Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader, 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%)Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 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.Natural Okoume Venner 0.90mmx6X9FT. Moreover,All Sizes Good White Recon Veneer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet, 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 (Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box), maintenance (2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle), 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,15mm Pine Wood Core Block Board for Construction), and annual cost index of mineral processing equipment.The New Natural Mahogany Okoume Veneer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture. Maximum MAER of 13.5% and minimum R2of 0.982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial-feasibility and even feasibility study level of projects.

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Lashgari, A.502 Alicosolar High Quality 30kw on Grid Solar System 30000W Power Kit Mono Soalr Panel with CE/TUV/ISO for Home Use, A.R. 2013.2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use,HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB,vol. 23. pp. 441-446.         [500kg Lifting Pulling Equipment Traction Block]

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Mular, A.L. 1982.Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model.Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart.Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver, Montreal. 265 pp.         [Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Moped]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Variable Speed Inverter China Frequency Converter AC.Natural Material Veneer Hand Made Woven for Wall Decoration.Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver, Montreal. 319 pp.         [16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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