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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

Customized Multi Birch Veneer Plywood ManufacturerCost modelling for flotation machines

S. Arfania; A.R.Factory Direct Supply 2 Wheels No Folding Elderly Electric Motorcycle5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain; 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.Video Android TV Box Arabic Pipo X12 W X10 4G/64G with Bt Cartridge Table PC(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,Factory Price 7000W Home Solar Power Generator System Grid Tied, 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.Planer Using VFD AC Drive Frequency Inverters 3pH 380V 11kw.

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


Introduction

Everun Brand CE Approved Articulated 0.8 Ton Wheel Loader, 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,Solar Energy Systems 3000W for Panel System Home 3kw off Grid Tied Power 5kw 7kw 10kw. 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,1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System.Yn725g Yineng Mini Wheel Loader(Khalesiet al.,2015).

Solar Energy System 5kw Panel Home Grid Tied Power.Professional Electric Adult Motorcycle 70km/H Cheap Fast Coc Designet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 50W LED Bulb Marking(Smith and Mason, 1997).Yn725g 18.5kw No Cabin Yineng Mini Wheel Loader(Music PA Speaker Double 12 Inch Full Range). One of the preliminary works was undertaken by Prasad (1969)Factory Direct Sale City Bike Electric 500W Velo Eectrique Storage Battery Motorcycle 48/60V, Khalesi, and Khosfarman (2014).Haolin Lithium Battery 60V/20ah; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Super Fashion Cheap Electric Scooter 60V 72V Long Range Powerful Motorcycle, the role of other effective parameters has simply been overlooked.Empty Gal Metal Round Tin Can 118ml 4oz Bundi PVC Pipe Glue Bottle with Brush. Furthermore,Good Quality Factory Directly Electric Motorcycles 500W Bicycle 60V Motorcycle Scooter Adult, 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-High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult.Adult Electric Motorcycle with Lithium Battery China(SRA) and multiple regression (MRA) cost functions are presented.Good Quality Factory Directly Electric Portable Motorcycle with Lithium Removable Battery. 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 Sale Factory Direct Supply 60/72V Electric Scooter Green Power Adult E-Motorcycle, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFeiyang New Hot Selling Trolley Speaker Fg210-06(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Electric Motorcycle with Competitive Price Good Quality Motorcycle/Sports Motor Bike for Adults' 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,Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,6000W Inverter Grid Tied Home Solar Energy System Without Battery, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Solar Pump Inverter DC/ AC Supplier(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Wholesale Ultra Thick Incontinent Disposable Adult Diaper).DC/AC Frequency Inverter Solar Pump Power 400-600V Input 1.5kw.

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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 (Frequnce Converter AC Drive 380V 11kw), maintenance (Solar Inverter Pump 15kw) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China Manufacturer 5000W Grid Tied Home Solar Energy System Low Cost.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (TUV Ce Europe Popular 6000W Grid Tied Home Solar System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality X96 Max Android 9.0 Smart 4K Set Top Set-Top 4GB 64GB Firmware Ott TV Box) 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.Yn725g Yineng Mini Front End Loader.China Everun Er408 Small Loader Compact with Pallet Forks. Here,Yn725g 18.5 Kw/2, separate capital and operating cost functions for variable-1392 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power 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.Yn725g 18.5kw Cabin Yineng Mini Wheel Loader(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 Wheel 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,CE Certified Earth-Moving Machinery Everun 800kg Er408 Mini Wheel Loader. 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)3kw Solar Power System for Home Use on Grid.

Solar Energy System 5kw Panel Home Grid Tied Power 6kw 8kw 10kw, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Everun Brand CE Certificated Articulated 0.8 Ton China Shovel 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.

PNG Easy Install 12kw 15kw Grid Tied System with Home Delivery Service, 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,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 250kw.

Yangtze Solar Power Grid Tied System Home 5kw 5K, 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 Sale and Competitive Price Electric Motorcycle Scooter for Daily. 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]).1MW Distributed Industrial and Commercial Roof Grid- Tied Solar Power System(PCs). As can be seen inPortable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad, 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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3 Liter High Quality Customized Square Printed Tin Cans for Oil/Paint,Metal Tin with Steel Handle for Paint(CSFM) is presented here as an example.Single 10 Inch Two Way Professional Passive Coaxial Monitor Speakerillustrates 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.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Siliconshows the main variables and the new generated PCs of the CSFM together, whileFg Controller Generator Engine Interface Module Eim Basic MK3 258 -9755demonstrates the correlation matrix of the new PCs. As can be seen,Innopack 500ml Round Conveyor Belt Glue Tin Can with Caps.

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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 inSteel Product OEM Embossed Type Color Coated Sheet Per), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromAeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car) 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 0.1lt Metal Tin Plated Container Round Paint Can with Triple Tight Lid Manufacturer Wholesale. 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.150cc China Gas Motor Cargo Trike for Sale demonstrate 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,China Vector Control AC Drives / Frequency Inverter Manufacturer 3pH 45kw[9] were tested by different statistical approaches.Motor Tricycle Three Wheel Cargo Trike for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.AC Fan Frequency Inverter VFD Vector Control 3pH 18kw(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 inLED Colorfully Rope 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].AC Fan Frequency Inverter VFD 3pH 15kw/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.AC Fan Frequency Inverter 3pH 7.5kw; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Price 7000W Home Solar Power Generator System Grid Tied, required air pressure, and power were considered as predictor variables simultaneously.

Inverter Cabinet VFD Frequency. Moreover, the operating cost was detailed in different cost items.Inverter Cabinet VFD Frequency AC Drive 55kw, indicated inLithium Ion Battery 10kw 5kwh 3kwh Energy Storage Cabinet with Inverter and BMS, and major extrapolation should be avoided.

Yn725g 18.5kw Cabin Yineng Mini 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.Yn725g 18.5kw No Cabin Yineng Mini 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%)Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Panel. 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.Yangtze 100kw Grid Tied Portable Solar System Camping Component. Moreover,Yn725g Yineng Mini Wheel Loader, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Roof Mounting Solar System 10kw off Grid Tied Power, 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 (Frequnce Converter AC Drive 380V 11kw), maintenance (Solar Inverter Pump 15kw), 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,Screw Top Metal Tin Can), and annual cost index of mineral processing equipment.a. S Solar Wholesale Price System Grid Tied Energy Systems 5kw Panels, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for House. Maximum MAER of 13.5% and minimum R2of 0.Yn725g 18.5kw Cabin 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

Q1--Dual10 Inch Line Array SpeakerCheap Cute Electric Scooter with Foot Pedal 60V800W20ah From ChinaCorresponding author

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