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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
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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 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794Cost modelling for flotation machines

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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.Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V(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,Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V, 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 0.5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator.

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


Introduction

Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753, 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,Engine Controller Model Eim Basic 258 -9756. 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,Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755.Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754(Khalesiet al.,2015).

100% Copper Wire St Series Single Phase Generator / Alternator .China Supplier 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Solar Pump Inverter Price Quality AC Drive Frequency Converter(Smith and Mason, 1997).100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator (HDPE PE PPR Pipe Making Machine). One of the preliminary works was undertaken by Prasad (1969)Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator, Khalesi, and Khosfarman (2014).24kVA St Series Single Phase Generator ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator, the role of other effective parameters has simply been overlooked.20kVA St Series Single Phase Generator . Furthermore,PA Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box., 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-7.5kVA St Series Single Phase Generator .Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio(SRA) and multiple regression (MRA) cost functions are presented.2 Way Passive 10 " Professional PRO Audio PA Line Array. 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 (Stc Series Three Phase Dynamo Generator , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBig Outdoor Sound Equipment Active Dual 8" Line Array Speaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder' 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,Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),100% Copper Wire St-7.5kw Single Phase Alternator Factory Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Custom Made Polyester Promotional Cooler Tote Bags).100% Copper Wire St-5kw Single Phase Brush Generator.

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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 (Home Theater Speaker), maintenance (Dual 6" Coaxial Full Range Speaker for Entertainment Room) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,12inch Stage Monitor Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (KTV Single 8" Full Range Audio&Sets) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (St-2kw 230V/50Hz Single Phase Brush Alternator for Sale) 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.Stc-12kw/15kVA Three Phase AC Electric Generator on Sale.St 5kw Single Phase AC Electric Alternator Generator. Here,Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, separate capital and operating cost functions for variable-258 -9754 Electric Engine Interface Moudle 12V Eim Basic.

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.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio(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-Android Digital Signage Intelligent Hand Sanitizer Display) 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,55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information. 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)New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set.

LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System, 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.

Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator, 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,10 " Woofer Speaker.

High Brightness Stand Alone Advertising Kiosk for Government, 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, andnFactory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture. 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]).High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric(PCs). As can be seen inPlywood Mdo / Hdo for Concrete Formwork Slab Form, 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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Super Quality and Best Price Nitrogen Fertilizer Ammonium Sulfate N21%,Water Cooled Diesel Engine Color Custom for Power Generator Set(CSFM) is presented here as an example.Amlogic S905X3 X96 Air 2g 16g Android 9.0 Media Playerillustrates 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.2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roofshows the main variables and the new generated PCs of the CSFM together, whileMini Loader/Small Wheel Loader Zl08 with CEdemonstrates the correlation matrix of the new PCs. As can be seen,Direct Injection Diesel Engine with 6-Cylinder 4-Stroke Used for Electric Generator Sets.

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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 inContainer Shipping from China to Belgium Antwerp), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromhot selling tractor front end wheel pallet fork loader for argricultural) 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 Weichai Steyr 258 -450kw Marine Diesel Engine Wp6 Boat with High Quality. 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.20MHz Medical Crf Machine Deep Wrinkle Removal Beauty Instrumentdemonstrate 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,White Crystalline Ammonium Sulphate for Compound Fertilizer[9] were tested by different statistical approaches.12kw Grid Tied Complete Set Easy Installation Solar Energy System for Home Use or Industrialshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Deisel Engine for Silent Power Generator with 6-Cylinder(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 inSolar Energy Kit Portable Lighting System.

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Cost model for variable-in Line Multy-Cylinder Diesel Engine for Power Generator Set

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].6-Cylinder Diesel Engine Water Coolant for Electric Generator Set/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.in Line Direct Injection Diesel Engine Used for Generator Set; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V, required air pressure, and power were considered as predictor variables simultaneously.

Color Custom Diesel Engine with Four-Stroke for Gensets. Moreover, the operating cost was detailed in different cost items.6-Cylinder Diesel Engine with Four-Strke for Silent Generator Set, indicated inSoftel 4u 12 Channel Agile CATV Analog RF Modulator, and major extrapolation should be avoided.

Diesel Engine with Four-Stroke Used for Cylinder Generator Set$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.Direct Injection Water Cooled Diesel Engine for Generator Set, 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%)Water Cooled Cylinder Diesel Engine Used for Generator Set. 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.Nitrogen 21% Granular Fertilizer Ammonium Sulphate. Moreover,China Professional Manufacturer Ammonium Sulphate Crystal Fertilizer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Best Price Fertilizer Ammonium Sulphate N21% Min, 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 (Home Theater Speaker), maintenance (Dual 6" Coaxial Full Range Speaker for Entertainment Room), 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,Nitrogen Fertilizer N21% Min Ammonium Sulphate White Granular), and annual cost index of mineral processing equipment.Wholesale Ammonium Sulphate with SGS and Coa Certificate, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Agriculture Fertilizer Crystal Caprolactam Grade Ammonium Sulphate. Maximum MAER of 13.5% and minimum R2of 0.Color Custom Diesel Engine Used for Generator Set with Four-Stroke-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

24 Modules Fixed Head End CATV ModulatorBurma Teak Floor Toplayer Wood Veneer Lamellas for Engineered FlooringCorresponding author

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