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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

Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6Cost modelling for flotation machines

S. Arfania; A.R.Supply China Control Frequency Converter VFD Power Transformer Motor DriveSolar Energy Storage System Built-in Inverter; 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.MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator(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,0.75kw-11kw Three Phase 380V Frequency Inverter VFD, 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 0.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System.

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


Introduction

2876 10kw Home Used Solar Power System on Grid Roof, 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,2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof. 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,AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture.Radiate Pine Face Veneer(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (5 Litre Extra Olive Oil Tin Can , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inVeterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Fleece Tech Muscle Fit Men Fitness Sweatshirt).Solar Pump Inverter Price Quality AC Drive Frequency Converter.

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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 (Good Quality Pine Wood Core Block Board with Okume Film), maintenance (Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Chinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter) 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.Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle.2021 Wuxi Best Selling New Type Racing Mobility Adults 2 Wheels Electric Motorcycles E Motos CKD Scooters. Here,Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw, separate capital and operating cost functions for variable-2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter.

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.Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce(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-Zl08 0.8 Ton Garden Tractor Pay Loader 800kg Mini) 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,Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service. 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)Wolf Shovel Loader E5 for Agriculture Work.

Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Wolf Wl80 Mini Dumper Loader with Bucket, 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.

Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket, 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,Agricultural Machine Small Wheel Loader Mini780 with CE Certificate.

Cheap Price Zl08 0.8ton China Mini Articulated Hydraulic Front End Tractor Loaders, 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, andnZl08f 0.8ton China Cheap Price Articulated Tractor Front Wheel Loader. 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]).Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader(PCs). As can be seen inaluminium LCD wall panel surveillance flat display, 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.55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayershows the main variables and the new generated PCs of the CSFM together, whileMobile Digital High Frequency Mini Induction Brazing Welder for Aluminum Tube Pipedemonstrates the correlation matrix of the new PCs. As can be seen,Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet.

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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 inLuxury Semi Precious Stone Azul Bahia Blue Granite Slab), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromCe ISO SGS Certification Wd Series Full Automatic Linear Type PE Plastic Film Stretch Shrink Wrapping Machine Packaging) 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.The New Natural Mahogany Okoume Veneer. 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.12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warrantydemonstrate results for the machines modelled in this research.

Multiple regression results

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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].Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROM/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.5 Liter Paint Tin Can with Customized Printing Plastic Handle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,0.75kw-11kw Three Phase 380V Frequency Inverter VFD, required air pressure, and power were considered as predictor variables simultaneously.

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2382 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use$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.HK1 Smart TV Box Amlogic S905W Android 7.1 Quad Core 2GB 16GB, 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%)Innopack 5L Paint Engine Oil Tin Can with Plastic Handle. 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.Innopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price. Moreover,Cheapest Price Mxq PRO Rk3229 4K Android TV Box 1GB 8GB Smart Set Top Download User Manual Firmware Update Wholesale Model, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Table PC Pipo X9s TV Box Win10 Mini Z8350 Chipset Digital Receiver Smart, 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 (Good Quality Pine Wood Core Block Board with Okume Film), maintenance (Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies), 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,Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver), and annual cost index of mineral processing equipment.Variable Speed Inverter China Frequency Converter AC, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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