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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

Factory Supply Disodium Phosphate Food GradeCost modelling for flotation machines

S. Arfania; A.R.Dl-Isoleucine Powder CAS 443- 79 -8Professional Manufacture Y Solar Mc4 Energy System Connector PV; 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.Glycyl- L-Tyrosine; 658- 79 -7(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,L-Pyroglutamic Acid, 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.Dl-Isoleucine Powder CAS Number 443- 79 -8.

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


Introduction

98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts, 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,Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0. 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 Purity 99.0%Min. Ademetionine Disulfate Tosylate .Centella Asiatica Extract 99% Asiaticoside 16830-15-2(Khalesiet al.,2015).

Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic.Food Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 10kw Cheap Solar Panels Complete Grid Tied System(Smith and Mason, 1997).Polyethylene Green Color Masterbatch(Gy6 /Jog Motorcycle Spare Parts Regulator/Rectifier). One of the preliminary works was undertaken by Prasad (1969)Pipe Bevelling Machine , Khalesi, and Khosfarman (2014).ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Green Plastic Masterbatch Blowing Film Grade, the role of other effective parameters has simply been overlooked.Green Color HDPE Masterbatch. Furthermore,Blue Masterbatch for Film, 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-Yellow Color Plastic Masterbatch.Yellow HDPE Masterbatch(SRA) and multiple regression (MRA) cost functions are presented.Universal LPG Gas Completed ECU Conversion Kit. 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 (Act Best Seller CNG LPG Gas Car Emulator, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDisodium Hydrogen Phosphate Dihydrate Food Grade(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CNG/LPG Rail Injector Type Gas 4 Cylinders' 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 Pipe End Bevelling Machine

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,T-Electric Pipe Bevelling Machine , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Pneumatic Pipe Beveling Machine High Performence(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Polyester Multiple Computer Laptop Backpack Bag).Act CNG LPG Fuel System 2568cyl ECU Kits.

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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 (Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup), maintenance (Plastic Green Color Masterbatch) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,4 Cyl CNG Auto Gas LPG Conversion Kit / Sequential Injection System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (3cyl 4 Cyl 6cyl 8cyl LPG/CNG Injector Rail) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (L Auto Gas LPG Conversion Kit / Car 4 Cyl Sequential Injection System) 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.High Quality Diesel Engine Parts 4 Cyl Pump Rotor Head 096400-0371.Diesel Engine Parts Injection System Nozzle Dnopd619. Here,Supply API 99%Min Dalbavancin CAS 171500- 79 -1 Raw Material Powder, separate capital and operating cost functions for variable-Diesel Engine Parts Fuel System Nozzle Dlla145pn574.

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.Master Batch Organic Colors(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-Orange Color Masterbatch) 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,Plastic Purple Color Masterbatch. 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)Plastic Grey Color Masterbatch.

Free Sample Color Masterbatch ABS PE Non Toxic for Injection Molding, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cosmetic Grade Liquid Form 70% CAS 79 -14-1 Glycolic Acid, 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.

Health Raw Material Dibasic Sodium Phosphate CAS No.: 7558- 79 -4 with High Quality, 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,Cosmetic Raw Material 99% Retinoic Acid 302- 79 -4.

ISO and SGS Factory Provide L-Arginine Nitrate 749- 79 -33, 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, andnHigh Quality Gentisic Acid CAS No.: 490- 79 -9 with Fast Delivery. 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 Provide Top Quality L-Carnitine Fumarate 99% 90471- 79 -7(PCs). As can be seen in1800W 103dB Bass Professional Passive Subwoofer Dual 18inch with Wa21820, 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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Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7,Best Price Bulk Powder Retinyl Palmitate 79 -81-2(CSFM) is presented here as an example.Dsola ODM/OEM Design High Efficient Mc4 Connector 3 in 1illustrates 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.1167 Single Phase 3 110V/220V/380vgrid- Tied Inverter for Residential or Commercial Application 3kw-80kwshows the main variables and the new generated PCs of the CSFM together, whileNew Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Setdemonstrates the correlation matrix of the new PCs. As can be seen,Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery.

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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 inBritish Standard 13AMP 1 Gang Switched Socket Outlets), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier) 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.Diesel Engine Parts Fuel Injection Nozzle Dlla152sm043. 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.Supprot OEM Software Android 9.1 Rk3228 2GB and 16GB Wholesale TV Boxesdemonstrate 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,Diesel Engine Parts Fuel Injection Nozzle Dlla156sm139[9] were tested by different statistical approaches.Professional Line Array PA System S1210 Soundshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Diesel Engine Parts Fuel Injection Nozzle 152sn924(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 inSulfur Donor Vulcanizing Agent 4.

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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].Diesel Engine Parts Fuel Injection Nozzle Dlla156s820/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.Tws Bluetooth Earphones with Charging Cases Wireless 5.0 Earbuds Headphones for iPhone; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,L-Pyroglutamic Acid, required air pressure, and power were considered as predictor variables simultaneously.

Diesel Engine Parts Fuel Injection Nozzle 150sn902. Moreover, the operating cost was detailed in different cost items.Tws Sport Headset Stereo Headphone Earphone with Charging Box Black, indicated in150cc Motorcycle, and major extrapolation should be avoided.

3D Stereo Sound Mini Headphone Built in Microphone & Dual Speakers for Phone Calls$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.New Products Charging Case Mini Small Headphones Tws Earbuds Wireless 2021, 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%)Transparent Nylon 12 Resin Raw Material Polyamide Granules. 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.PA12 Natural Resin Transparent Granules Pellets Polyamide Price. Moreover,PA12 Plastic Granule for Injection Molding Polyamide 12 Resin Nylon, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules, 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 (Factory Directly Sell Good Performance Virgin Transparent PA12 Granules/Pellets /Polyamide 12 Resin for Oil Cup), maintenance (Plastic Green Color Masterbatch), 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,Nylon 12/Nylon Granules/Polyamid 12/Transparent Glasses Frame), and annual cost index of mineral processing equipment.Good Performance Virgin Transparent PA12 Granules/Pellets/Resin Equivalent with Tr90 for Glasses Frame, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Raw Material Plastic Resin Pellets Polyamide PA12 Medical Grade Transparent Nylon Granules. Maximum MAER of 13.5% and minimum R2of 0.Hot Sales! ! Polyamide Nylon PA12 PA Plastic Granules for Injection Grade-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Solvent Violet 13 for Plastic ApplicationEverun Brand CE Approved Articulated 0.8 Ton Wheel LoaderCorresponding author

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