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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

Frequency Converter 50Hz to 60Hz Fan Speed Controller Solar Power Inverter ChinaCost modelling for flotation machines

S. Arfania; A.R.Un Approved 0.5 Liter Metal Square Paint Empty Tin CansAll Sizes Good White Recon Veneer; 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.5 Liter Tinplate Metal Packing Car Paint Container Engine Oil Tin Can(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,China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg, 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.Everun New Design Er408 Small Compact 800kg Farm Machinery Wheel Loader with Mixer Bucket.

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


Introduction

Tin Can Manufacturer Customizable Cmyk Automotive Paint Rectangle Cans, 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,Titan Brand 0.8 Ton High Quality Mini Wheel Loader with and Performance.. 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,High Duty Chinese mini loader.Exclusive Model Electric Scooter 800W 1000W High Torque Matt Black(Khalesiet al.,2015).

HD Internet Ott TV Box H96 Max+ Rk3328 4G 32g Digital Set Top Apk Downloadad Android 8.1.Yn725 Yineng Mini Wheel Loader 18.5kw Cabinet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturers Supply (Smith and Mason, 1997).Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP(Machine Tools 65mn Spring Sdc06 Sdc08 Sdc12 Clamping Sdc Collet for Milling). One of the preliminary works was undertaken by Prasad (1969)Upgraded Full HD North America Internet ATSC TV Decoder, Khalesi, and Khosfarman (2014).High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty, the role of other effective parameters has simply been overlooked.Mag City Scooter 80km Range Two Wheel Electric Motorcycle. Furthermore,Electric Scooter/ Motorcycle/TM-BQ, 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-Commerical Okoume Plywood for Sale.Go Kart (SRA) and multiple regression (MRA) cost functions are presented.New Go Kart . 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 (Everun 0.8ton Mini Wheel Loader with Euro III Engine, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPedal E-Bike / Scooter Electric Bicycle 500W/ 800W(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Water Soluble 40%-80% Amino Acid).Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System.

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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 (No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip), maintenance (No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,TUV Certificate Gried Tied on Grid 30kw Solar Power System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2021 New Design RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Frequency Inverter Drive AC Motor Speed Controller with Great Price) 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.China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC.3000W Grid Tied Solar System for Home Use. Here,Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm, separate capital and operating cost functions for variable-Sapelli Plywood.

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.The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory(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-Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth) 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,Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart. 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)Electric Scooter 800W 60V20ah Lead Acid.

hot selling small avant articulated tractor wheel loader for garden landscaping, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (UV White Birch Plywood 18mm Carb E0 Cabinet, 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.

18mm Pine/Combi Core Waterproof Plastic Black Film Faced 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,China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas.

Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic, 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, andn350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive. 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]).French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can(PCs). As can be seen in99% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery, 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.Sporty Electric Scooter shows the main variables and the new generated PCs of the CSFM together, whilePlastic Laminated Bio Black White Craft Zipper Yemek Paketleme Paper Kraft Packaging Ziplock Bags for Coffee Fooddemonstrates the correlation matrix of the new PCs. As can be seen,1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids.

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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 inCustom Logo Portable Hand Sanitizer Liquid Isopropyl Alcohol Free Body Spray), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio) 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.China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin. 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.Ziplock Dog Food Bag with Bottom Gussetdemonstrate 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,Chinese Eougem Zl08 Wheel Loader with Torque Converter[9] were tested by different statistical approaches.Nitrogen Fertilizer Steel Grade as From China Factoryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Articulated Mini Wheel Loader Er08 Telescopic Boom(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 in32312 Hr32312j 32312jr E32312j 32312-a 32312-Ba Tapered/Taper Roller Bearing for Reducer Mining Crusher Metallurgical Machinery Internal Combustion Engine.

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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].Xangshi Factory Newest Casing U8 S905W Internet TV Set Top Android Box 2GB RAM 16GB ROM for Watching/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.New Design Go Kart 150cc ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Manufacturers Offer Cheap Price Front End Mini Shovel Loader 800 Kg, required air pressure, and power were considered as predictor variables simultaneously.

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800W 60V Lead-Acid Battery Electric Bicycle with Back Rest$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.Electric Motorcycle 800W for Adult Motor, 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%)Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB. 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.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery. Moreover,Rosen 5kw on Grid Solar System with Tied Inverter, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Solar Energy System 5kw Panel Home 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 (No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED Chip), maintenance (No Flicker Glare RGB Swimming Pool Lighting Waterproof LED Light for Intex Pools or Theme), 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,200kw Grid Tied Solar System for Factory Use), and annual cost index of mineral processing equipment.Grid Tied Inverter 10kw 15kw 20kw Home Set Solar System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,1kw Solar Power System Grid Tied 1000W on Panel Price. Maximum MAER of 13.5% and minimum R2of 0.Commercial Solar System 100kw Grid Tied /on 100kVA 60kw-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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