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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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Heavy Duty 4.5kw CNC Wood Router with Vacuum Table

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

Yn725 Yineng Mini Wheel Loader 18.5kw CabinCost modelling for flotation machines

S. Arfania; A.R.Adult Electric Motorcycle/Scooter 60V20ah Lithium Battery ChinaOEM Wheels for Kymco Gy6 125cc Scooter Body Parts; 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.Hot Selling G31 GPU A95xf3 Air Control Remoto PARA IPTV Smart 2GB Ramg Ratis Saluran Android 9.0 Box TV(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,AC Drive Frequency Variable General Power Supply Solar Motor Pump, 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.Pipo X8 PRO Win 10 Android 5.1 Z8350 Support Bluetooth 4.0 7 Inch Tablet PC.

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


Introduction

500kw Solar Energy System Grid Tied 500kwatt Panel Station, 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,Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle. 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,Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC.Factory Price 7000W Home Solar Power Generator System Grid Tied(Khalesiet al.,2015).

Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw.Everun Brand CE Approved Articulated 0.8 Ton Wheel Loaderet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for HDPE Water/Gas Supply Pipe Extrusion Line(Smith and Mason, 1997).Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw(Ytd-Dih25 IGBT Automatic Induction Heating Machine). One of the preliminary works was undertaken by Prasad (1969)1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, Khalesi, and Khosfarman (2014).Yn725g Yineng Mini Wheel Loader; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Solar Energy System 5kw Panel Home Grid Tied Power, the role of other effective parameters has simply been overlooked.Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Design. Furthermore,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader, 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-Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V.Haolin Lithium Battery 60V/20ah(SRA) and multiple regression (MRA) cost functions are presented.Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle. 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 (Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inYn725 Gyineng Mini Wheel Loader 18.5kw Non -Cabin(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult' 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,Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Solar Inverter Pump Inverters 5.5kw, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10 Liter Customized Printed Square Metal Fuel Oil Tin Cans for Paint Coating Solvent(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (10oz Glossy Black Sublimation Mugs with Bottom).350ml Brake Fluid Glue Tin Bottle.

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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 (9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint), maintenance (Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,6000W Inverter Grid Tied Home Solar Energy System Without Battery.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Solar Pump Inverter DC/ AC Supplier) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw) 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.Frequnce Converter AC Drive 380V 11kw.Solar Inverter Pump 15kw. Here,China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost, separate capital and operating cost functions for variable-TUV Ce Europe Popular 6000W Grid Tied Home Solar System.

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.High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott 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-Yn725g Yineng Mini Front End Loader) 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,China Everun Er408 Small Loader Compact with Pallet Forks. 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)Yn725g 18.5 Kw/2.

1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, 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.

Yn725g Yineng Mini Wheel Loader, 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,CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader.

3kw Solar Power System for Home Use on Grid, 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, andnSolar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw. 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]).Everun Brand CE Certificated Articulated 0.8 Ton China Shovel Loader(PCs). As can be seen inRental Application Stage Monitor Audio&Sets, 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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China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw,Yangtze Solar Power Grid Tied System Home 5kw 5K(CSFM) is presented here as an example.Cheap 20W Fiber Laser Color Metal Marking Marker Machine Priceillustrates 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.Eougem 0.8 Ton Payload Zl08 Front End Loader New Hydraulic Articulated Small Wheelshows the main variables and the new generated PCs of the CSFM together, whileLow Water Absorption Polymer 610demonstrates the correlation matrix of the new PCs. As can be seen,Hot Sale and Competitive Price Electric Motorcycle Scooter for Daily.

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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 inGo out Party Cooler Tub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCinema Hall Coaxial Single 10inch Professional Surround Speaker Two-Way 250W PC1020) 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.AC Fan Frequency Inverter VFD Vector Control 3pH 30kw. 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.Vimode China Hot Sale E Scooter Europe Warehouse Electric Motorcycles 800Wdemonstrate 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,3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint[9] were tested by different statistical approaches.External 2.4GHz/ 5GHz Dual-Band Small Antenna/Flexible Antennashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Metal Tin with Steel Handle for Paint(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 inHot Selling High Quality Fashion Nail Polish.

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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].Manufacturer Wholesale Good Quality Empty 1lt Metal Paint Glue Tin Cans with Lever Flat Pry Lid/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.1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,AC Drive Frequency Variable General Power Supply Solar Motor Pump, required air pressure, and power were considered as predictor variables simultaneously.

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Inverter Cabinet VFD Multifuctional Frequency Inverters 55kw$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.AC Fan Frequency Inverter VFD 3pH 15kw, 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%)AC Fan Frequency Inverter 3pH 7.5kw. 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.Inverter Cabinet VFD Frequency. Moreover,Inverter Cabinet VFD Frequency AC Drive 55kw, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Yn725g 18.5kw Cabin Yineng Mini Wheel Loader, 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 (9L Tight Head Tin Can with Tap for Oilve Oil Ink and Paint), maintenance (Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD), 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,Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader), and annual cost index of mineral processing equipment.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Yangtze 100kw Grid Tied Portable Solar System Camping Component. Maximum MAER of 13.5% and minimum R2of 0.Yn725g Yineng Mini Wheel Loader-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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