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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

4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9Cost modelling for flotation machines

S. Arfania; A.R.Small Wheel Loader Wl80 800kg Loaders for Farm WorkDeltamethrin 98% Tc Insecticide 2.5 Sc Wholesale 2021; M.R. Khalesi

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.1L Tin Can for Camellia Oil (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,CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, 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.Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box.

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


Introduction

2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle, 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,Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core. 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,Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box.Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia(Khalesiet al.,2015).

5 Litre Extra Olive Oil Tin Can .DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kwet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA12 Transparent Polyamide with Anti-UV Granules(Smith and Mason, 1997).Frequency Converterlow Industrial Power Inverter(Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor). One of the preliminary works was undertaken by Prasad (1969)2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, Khalesi, and Khosfarman (2014).China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter, the role of other effective parameters has simply been overlooked.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw. Furthermore,Low Price B/C/D/E Grade Wood/Natural Birch Veneer, 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 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle.Solar Pump Inverter Price Quality AC Drive Frequency Converter(SRA) and multiple regression (MRA) cost functions are presented.Good Quality Pine Wood Core Block Board with Okume Film. 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 (Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits' 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,Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Tc Wire Drawing Dies /Carbide - Tungsten Carbide).Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini.

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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 (Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service), maintenance (Wolf Shovel Loader E5 for Agriculture Work) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wolf Wl80 Mini Dumper Loader with Bucket) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket) 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.Agricultural Machine Small Wheel Loader Mini780 with CE Certificate.Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders. Here,Zl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader, separate capital and operating cost functions for variable-Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader.

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.Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box(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-Natural Okoume Venner 0.90mmx6X9FT) 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,All Sizes Good White Recon Veneer. 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)Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet.

15mm Pine Wood Core Block Board for Construction, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (The New Natural Mahogany Okoume Veneer, 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.

Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture, 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,982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial.

2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles, 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, andnWindows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM. 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]).5 Liter Paint Tin Can with Customized Printing Plastic Handle(PCs). As can be seen infor HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000, 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.Zl08 0.8t Articulated Front End Wheel Loader with Pallet Forkshows the main variables and the new generated PCs of the CSFM together, whileProfessional 10 Inches Rcf Aluminum PA Speaker Framedemonstrates the correlation matrix of the new PCs. As can be seen,HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB.

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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 inWafer Type Sanitary PTFE Padded Butterfly Valve Chair), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEnclosed Covered Tricycle with Wagon) 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.Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low 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.High Quality Nylon Plated Classical Guitar Accessory Stringsdemonstrate 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,Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model[9] were tested by different statistical approaches.Performance Ignition Coil Gy6 50cc 150cc 139qmb 157qmj Mopedshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart(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 inChristmas Artificial Fake Snow Decoration.

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Cost model for variable-Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver

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].Variable Speed Inverter China Frequency Converter AC/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.Natural Material Veneer Hand Made Woven for Wall Decoration; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility, required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale 15kw Grid Tied Solar Photovoltaic Power System$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 0.5kw Inverter Grid Tied Solar Power System for Home, 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%)975 Solar 30kw 40kw on Grid Tie Power System for Factory/House Roof. 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.Rosen 55kw Grid Tied on Solar System to Global Market. Moreover,Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Hot Cheap Electric Scooter 60V800W20ah for Adult From China, 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 (Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service), maintenance (Wolf Shovel Loader E5 for Agriculture Work), 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,Luxury 350W 2 Wheel Electric Bike Scooter/Electric Moped with Pedals Motorcycle Scooter), and annual cost index of mineral processing equipment.Cheap Cute Electric Scooter with Foot Pedal 60V800W20ah From China, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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