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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

Line Array 10 Inchneodymiun PRO Audio WooferCost modelling for flotation machines

S. Arfania; A.R.280mm Magnet5GHz Dual Pol Sector Antenna with Enclosure; 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.Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale(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,Professional Audio PA Subwoofer Component Speakers Bocinas, 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.L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer.

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


Introduction

Additive PE Green Color Masterbatches Manufacturer, 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,L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale. 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,L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer.L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W(Khalesiet al.,2015).

OEM Custom Square Rectangle Round Rubber Cover.N21% White Granular Ammonium Sulphateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Frequency Induction Heater (Smith and Mason, 1997).Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%(Cheaper Long Range off Road Best Selling Hot China Xindazhou Products Motorcycle Electric Adult). One of the preliminary works was undertaken by Prasad (1969)Agriculture Fertilizer N 21% Ammonium Sulfate, Khalesi, and Khosfarman (2014).21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory, the role of other effective parameters has simply been overlooked.Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer. Furthermore,White Extrusion Granular Ammonium Sulphate China Factory, 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-Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer.Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s(SRA) and multiple regression (MRA) cost functions are presented.China Suppliers Alone Type Wraped Beam Disc Machenism Padlock. 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 (Dust Proof Steel Shackle Padlocks with Master Key, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOil Treatment Packaging Tin Container Can(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Padlock-G38PDP' 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,Gt1544s 454083-0001 1002829 Garrett Engine Turbo for Vw Passat

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Engine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Shiny UV Resistant PVC canvas tarpaulin).Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kit.

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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 (Truck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003), maintenance (FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Gt1544sm 733783-5007s Turbo for Volkswagen Fox 1.4L Tdi Engine Bnm) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cosmetic Grade 99% Purity All Trans Retinoic Acid 302- 79 -4 Tretinoin/Vitamin a) 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.Customized Rubber Spacer Black Silicone Bushing.Gym Rubber Flooring Floor Mat Roll. Here,Ihi Turbocharger 2001-04 Peugeot, separate capital and operating cost functions for variable-Gt1749V .

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.2004-10 for Volkswagen(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-Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan) 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,T250-04 452055-5004s Turbocharger for Gemini III Engine. 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)Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer.

Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine, 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.

Gt1544V 740611-5002s 28201-2A400 Turbo for Hyundai Verna, 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,Aftermarket BV45 53039880337 Turbocharger for 2010-12 Nissan Pathfinder Navara Engine.

Factory Supply Glycyl-L-Tyrosine, 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, andnDl-Isoleucine Powder CAS 443- 79 -8. 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]).Glycyl- L-Tyrosine; 658- 79 -7(PCs). As can be seen inFractional RF Vacuum Slimming Machine for Lose Weight, 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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Dl-Isoleucine Powder CAS Number 443- 79 -8,98% Uvarigranol B\C\D\E Standard Reference Materials Plant Extracts(CSFM) is presented here as an example.Quadrant Framed Shower Enclosure/ Cabin / Cubicle illustrates 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.Anti-Aging and Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7shows the main variables and the new generated PCs of the CSFM together, whileSolar Panel System 20kw Grid Tied Home Power 20 Kw Energydemonstrates the correlation matrix of the new PCs. As can be seen,Longyu Produce Nano Copper Oxide Nanoparticles 1317-38-0.

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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 inPaper Corrugated Wholesale Custom Mailer Boxes), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725 Yineng Mini Wheel Loader 18.5kw Cabin) 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.Centella Asiatica Extract 99% Asiaticoside 16830-15-2. 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.1% 98% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Freedemonstrate 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,Crovell Supply Raw Material CAS 104-29-0 Chlorphenesin for Cosmetic[9] were tested by different statistical approaches.High Competitive 3 Phase Pump Power Inverter 3000W 50Hz to 60Hz Frequency Convertershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Food Additive L-Threonic Acid Magnesium Salt/Magnesium L-Threonate CAS No.: 778571-57-6(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 inCheap and Fast Shipping Agent From Hongkong to Valencia Spain Air Cargo.

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Cost model for variable-Polyethylene Green Color Masterbatch

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].Pipe Bevelling Machine /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.ISO Certificated Company Supply Skin Whitening Retinoic Acid Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Audio PA Subwoofer Component Speakers Bocinas, required air pressure, and power were considered as predictor variables simultaneously.

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Blue Masterbatch for Film$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.Yellow Color Plastic Masterbatch, 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%)Yellow HDPE Masterbatch. 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.Universal LPG Gas Completed ECU Conversion Kit. Moreover,Act Best Seller CNG LPG Gas Car Emulator, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CNG/LPG Rail Injector Type Gas 4 Cylinders, 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 (Truck Parts Turbocharger for Mercedes-Benz/Chrysler/Dodge Om647 Gt2256 6470900280 736088-0003), maintenance (FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts), 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,Act MP 48 ECU Switch/Act 2568d Switch), and annual cost index of mineral processing equipment.Fuel Gas Cylinder ECU 2568d Map Sensors, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Motorcycle Act 2568d 6cyl 8cyl ECU Conversion Kit. Maximum MAER of 13.5% and minimum R2of 0.Auto Vehicle Gas Conversion Kit CNG Seqential Injection Kits-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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