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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

Fast Delivery 1Cost modelling for flotation machines

S. Arfania; A.R.High Quality Wall Mounted Underwater LED Swimming Pool Light for Intex Pools or ThemePA Speaker Parts&Accessories Back Plate Speakon Nl4 ; 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.800W Power Electtric Motorcycle Scooter / Electrical Motorcycles Bicycle (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,2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty, 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.High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip.

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


Introduction

Hot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top, 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,Topleo I96 King 1GB/2GB RAM Smart Android 7.1 Quad Core Internet 4K Ultra HD Support TV Box. 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,15kw Grid Tied Solar Power System for Home Use.Grid Tied 100kw 200kw 300kw Solar System(Khalesiet al.,2015).

Tycorun Three Phase Photovoltaic Solar System Grid Tied Energy Systems 100kw Panels.Factory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesaleet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Er08 New CE Approved Small Shovel Loader(Smith and Mason, 1997).Vimode Electric Scooter Adult Motorcycle for Adults 800W 650W(1L Microstome Metal Drum Customization Printing Logo). One of the preliminary works was undertaken by Prasad (1969)Adv. 1 Alloy Wheel , Khalesi, and Khosfarman (2014).150cc 4-Stroke; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Outdoor 5GHz 30dBi Long Range Parabolic Grid Antenna, the role of other effective parameters has simply been overlooked.Hot Sale Popular Model 60V 800W Electric Motorcycle for India Market. Furthermore,Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800W, 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-New Design 800W 1000W Electric Scooter Motorcycle for Riding.5.8GHz 30dBi Single-Pol Die Cast Grid Antenna(SRA) and multiple regression (MRA) cost functions are presented.Mimo Antenna 5150MHz~5850MHz WiFi Panel. 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 (5GHz 20dBi Panel WiFi Antenna, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Quality Classical Guitar Nylon Strings(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Fast Ship 800W 1000W 1200W 60V 72V 20ah Battery Electric Motorcycle From China' 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,Guangzhou Manufacturer Empty Anti Bacterial Diesel Additive Can for Fuel Cleaner

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Hot Sale Special Cooking Coconut Oil Tin Can Milk Tank Beverage Cans, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Buy Food Grade Metal Material Empty Cans for 0.5-2.5L(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Low Price Stepped Ejector Pin with Custom Irregular Dies).Hot Sale 301 401 Easy Opening Seal Can Round Empty Tin with Metal Caps.

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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 (1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas), maintenance (10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Central Hole 68mm 10X5.5'' Mild Steel ATV Wheel Rim.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Alloy Wheels ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Silver Truck Wheel Rims Steel 17.5 Inch) 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.15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer.High Efficiency Waterproof Grid Tied PV Inverter 230V DC to AC. Here,Finished Surface HD Truck Wheel 17.5inch Rims Steel, separate capital and operating cost functions for variable-250CC Go Kart .

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.18mm Carb Birch Okoumen Plywood(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-Retro Electric Motorcycle 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,Carb Approved Birch Plywood. 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 Power Elevator Inverter 12kw with Controller.

High Quality 18mm Carb Birch Okoumen Plywood, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1.5kw 220V Frequency Converter Single Phase 380 3, 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.

Carb Approved Birch Plywood, 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,Carb E0 Cabinet Grade 18mm Plywood in High Quality.

1.5kw 220V Frequency Inverter Brands AC Drive for Electric Motor, 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, andnhot selling tractor front end wheel pallet fork loader for argricultural. 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]).Titan Mini Earthmoving Front End Loader Wheel Zl08 with Ce Certificate(PCs). As can be seen in2021 New Design Plastic Injection Molding Machine Made in China, 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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Warm White IP68 Resin Filled Wall Mounted 18watt LED Swimming Pool Light,Wolf Loader Wl80 Zl08 Radlader Mini Wheel(CSFM) is presented here as an example.2021 New Compact 10 " Active Line Array Speaker Sound Systemillustrates 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.Teak Wood Veneer Woven Design for Plywood Doorshows the main variables and the new generated PCs of the CSFM together, whileTUV Certificate Gried Tied on Grid 30kw Solar Power Systemdemonstrates the correlation matrix of the new PCs. As can be seen,2021 New Design Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty.

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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 inR. S Most Popular One Step Gel Polish Soak off UV for Nail Art), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from12volt Input 18watt IP68 Waterproof Underwater Application Swimming Pool LED Lights) 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.UV Birch Plywood with Poplar Core Carb E0 Glue From Factory. 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.Single 10 Inch Top Line Array Passive Audio Speaker PA System Suited to 500-1500 Peopledemonstrate 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,17 Inch 18 Aftermarket New Design Aluminum Car Alloy Rim[9] were tested by different statistical approaches.Plastic PE PP HDPE PPR Pipe Making Machine Extrusion Production Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China Wolf Wl80 Articulated Mini Loader(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 inSingle Arm Alluminum Alloy LED Surgical Light.

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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].Vimode Buy 2021 Newest 48V Electric Motorcycles Made in China 800W/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.High Quality Aluminum Alloy Wheels Rims; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2021 Hot Sale Wall Mounted Underwater LED Swimming Pool Light with Two Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.

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5GHz 19dBi Enclosure WLAN Antenna$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 0.16 17 18 Inch Vossen CV5 Alloy Wheel, 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%)VFD Air Compressor Asynchronous Variable Frequency Drive. 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.Tubeless Steel Wheel . Moreover,Home Application on Grid Tied Solar Power System 3kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Home Use Cheap Solar Panel System 10kw Grid Tied Kit, 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 (1 Gallon Metal Can Clear Car Paint Square Empty Engine Oil Tin Cans Latas), maintenance (10X5.5'' Best Light 110mm off Road Steel ATV Wheel Rim), 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,2021 Hot Sale Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with CE RoHS IP68 Reports), and annual cost index of mineral processing equipment.5GHz Antenna High Gain 32dBi, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,5GHz Dual Polarization Enclosure WLAN Antenna. Maximum MAER of 13.5% and minimum R2of 0.32dBi 5GHz WLAN Antenna-feasibility and even feasibility study level of projects.

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Lashgari, A.No Flicker Glare Switch Control 12V 18W Nichless Flat Wall Mounted Resin Filled LED Swimming Pool Light with Edison Chip, A.R. 2013.High Quality Underwater Swimming Pool Light Decoration LED Lamp,17 Inch Machined Aftermarket Alloy Wheel ,vol. 23. pp. 441-446.         [3015c 5000W/1000W CNC Fiber Laser Metal Cutting Machine for Fire Control Industry]

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1.5kw 220V Frequency Converter Single Phase 380 3, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-AC Drives Frequency Inverter for Dyeing Machine.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Mini Nameplate Pneumatic Engraving Machine]

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USBM. 1987.1220*2440*18mm Birch Plywood with Carb P2 Standard Quality,Solar Pump Frequency Inverter MPPT Fuction 15kw Made in China-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Custom Fleece Tech Muscle Fit Men Fitness Sweatshirt]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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