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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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6m Length 100*38 100*40 100*42 Ms Mild Sktm18c Alloy Square Sev295 Steel Rectangular Pipe

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

Local Anesthetic Levobupivacaine Powder Brazil Free Sample 27262-48-2Cost modelling for flotation machines

S. Arfania; A.R.Go Kart New Energy Pedal Electric Scooter Max Speed 35km/H 350W 500W 800W Motor Power; 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.Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lid(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,Wolf Wl80 Mini Dumper Euro 5 Loader for Sale, 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 0.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loader.

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


Introduction

High Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector, 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,WLAN WiFi Yagi Antenna. 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,External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antenna.150cc Go Kart with EEC (Khalesiet al.,2015).

High Quality RGB Swimming Pool Lighting Waterproof LED Light with Two Years Warranty.Grid Tied 5kw Solar Energy System Home Power 5000W for Roof Tileet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Cheap Commercial Plywood for Construction Decoration and Furniture Use(Smith and Mason, 1997).High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or Theme(Customized Modern Design Metal Oil Tin Can 1L Empty Storage Container). One of the preliminary works was undertaken by Prasad (1969)800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle , Khalesi, and Khosfarman (2014).2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip, the role of other effective parameters has simply been overlooked.Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top. Furthermore,Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box, 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-15kw Grid Tied Solar Power System for Home Use.Grid Tied 100kw 200kw 300kw Solar System(SRA) and multiple regression (MRA) cost functions are presented.Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels. 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 (Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New Arrival China Supplying Internet TV Set Top Box Smart 4K HD 4GB Android 9 Amlogic S922X(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W' 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,Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,New Design 800W 1000W Electric Scooter Motorcycle for Riding, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5.8GHz 30dBi Single-Pol Die Cast Grid Antenna(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (30W LED Solar Road Light Street with Remote Control).Mimo Antenna 5150MHz~5850MHz WiFi Panel.

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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 (5GHz 20dBi Panel WiFi Antenna), maintenance (Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Sale 2.4/ 5GHz 9dBi Rubber WiFi Antenna.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (5GHz 12dBi Dual Polarity MIMO Omni Antenna) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Electric Motorcycle Fashion Design 800W with Removable Battery) 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.5GHz 18dBi Dual Polarization Panel WLAN Antenna.Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner. Here,Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans, separate capital and operating cost functions for variable-Buy Food Grade Metal Material Empty Cans for 0.5-2.5L.

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.Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps(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-1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas) 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,10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim. 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)Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim.

Alloy Wheels , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Silver Truck Wheel Rims Steel 17.5 Inch, 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.

15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer, 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,High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC.

Finished Surface HD Truck Wheel 17.5inch Rims Steel, 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, andn250CC Go Kart . 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]).18mm Carb Birch Okoumen Plywood(PCs). As can be seen inFast Delivery 1, 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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Carb Approved Birch Plywood,Low Power Elevator Inverter 12kw with Controller(CSFM) is presented here as an example.1L Microstome Metal Drum Customization Printing Logoillustrates 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.High Quality Classical Guitar Nylon Stringsshows the main variables and the new generated PCs of the CSFM together, while3 Phase Frequency Converter 50Hz to 60Hz Variable Drive Manufacturer Solar Modulesdemonstrates the correlation matrix of the new PCs. As can be seen,High Quality 18mm Carb Birch Okoumen Plywood.

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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 inRemote CCTV Camera Pipe Inspection Crawler Suitable for DN150-300), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 New Compact 10 " Active Line Array Speaker Sound System) 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.Carb Approved Birch Plywood. 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.TUV Certificate Gried Tied on Grid 30kw Solar Power Systemdemonstrate 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,Carb E0 Cabinet Grade 18mm Plywood in High Quality[9] were tested by different statistical approaches.99% Purity Local Cinchocaine Powder Dibucaine CAS 85- 79 -0 Priceshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor(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 inSea Shipping FCL Freight Forwarder From China to Tokyo Japan Professional Fast Reliable Logistics Services.

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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].Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate/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.Carb Bleach White Poplar Plywood LVL 12mm 18mm; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Wolf Wl80 Mini Dumper Euro 5 Loader for Sale, required air pressure, and power were considered as predictor variables simultaneously.

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2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty$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.High Quality Carb Certified Birch Faced Furniture Plywood, 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%)UV Birch Plywood with Poplar Core Carb E0 Glue From Factory. 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.17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim. Moreover,China Wolf Wl80 Articulated Mini Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Digital ATSC Receiver Internet TV Set Top Box, 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 (5GHz 20dBi Panel WiFi Antenna), maintenance (Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China), 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,Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W), and annual cost index of mineral processing equipment.High Quality Aluminum Alloy Wheels Rims, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Truck Rim Steel Polished 17.5 Inch Wheel. Maximum MAER of 13.5% and minimum R2of 0.Sunpal 150kw Solar Grid Tied System Low Price-feasibility and even feasibility study level of projects.

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Mular, A.L. 1982.32dBi 5GHz WLAN Antenna.Brown Black Opaque Chemical Industrial Container 100ml Flip Top Cap Bottle.High Quality Waterproof 18W PAR56 RGB 12V LED Swimmiong Pool Light with Two Years Warranty, Montreal. 265 pp.         [5GHz 12dBi Dual Polarity MIMO Omni Antenna]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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