GENERAL PAPERS

Eougem Zl-08 0.8 Ton Chinese Mini Radlader Manufacturer 0.45m3 Bucket LoaderCost 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.Agriculture Ammonium Sulphate Caprolactam 25kg Package(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,High Quality Ammonium Dibutyl Dithiophosphate 95%, 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 /8693 Falante Professional 18inch Subwoofer 1200W New Product China Supplier.

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

Introduction

N21% Nitrogen Fertilizer Ammonium Sulphate Factory Price, 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,Plants Ammonium Sulphate Granular 20.5%Min. 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,Chemical Factory Sale Ammonium Sulphate Fertilizer Granular.Caprolactam Grade Ammonium Sulfate Soa Fertilizer Sulphate(Khalesiet al.,2015).

20.5% Nitrogen Steel Grade Ammonium Sulphate in Agriculture.Nitrogen Fertilizer Caprolactam Grade Ammonium Sulphateet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Lithium Battery Brushless Adult Bike 350W 400W 500W 48V Electric Motorcycle(Smith and Mason, 1997).Nitrogen Fertilizer Steel Grade as From China Factory(China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5). One of the preliminary works was undertaken by Prasad (1969)Nitrogen Chemical Fertilizer Ammonium Sulfate 21%Min, Khalesi, and Khosfarman (2014).White Crystal Steel Grade Ammonium Sulphate with N20.5%; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Floating Agent Ammonium Dibutyl Dithiophosphate Supplier, the role of other effective parameters has simply been overlooked.Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate. Furthermore,Nitrogen Fertilizer Ammonium Sulphate for Agriculture, 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-China Suppllier Ammonium Sulphate 21% Nitrogen Fertilizer.Granular Ammonium Sulphate(SRA) and multiple regression (MRA) cost functions are presented.Fertilizer N21%. 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 (China Supplier Ammonium Sulphate Compound Fertilizer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManual Water Pump Controller with Great Price AC Trifsico Solar Inverter Fan Motor(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Crystal Fertilizer Ammonium Sulphate for Coumpound' names:

►Raw Material of Making Compound Fertilizer Ammonium Sulfate N1%: based on 36-foot,Vegetable and Fruit Fertilizer Crystal Caprolactam Grade Ammonium Sulphate,Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizer,Hipower Top 10 Speakers Professional Audio PA Loudspeaker 8ohm, and level control

►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,Professional Audio PA Subwoofer Component Speakers

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,650W-18 Inch Subwoofer Speaker Manufacture China Factory Directly, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Nh4 2so4 Chemical Formula for Ammonium Sulfate Fertilizer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Good Quality Double Door Access Control Board).280mm Magnet.

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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 (Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale), maintenance (Professional Audio PA Subwoofer Component Speakers Bocinas) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,L18 /86130 100%Good Feedback! Professional 18 Inch PA Speaker 1000W RMS Subwoofer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Additive PE Green Color Masterbatches Manufacturer) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot 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.L18 /86138-Good Feedback! Professional 18 Inch PA Speaker 1500W RMS Neodymium Subwoofer.L18 / 6620- 18 Polegadas PRO Audio Subwoofer Alto Falante 650W. Here,OEM Custom Square Rectangle Round Rubber Cover, separate capital and operating cost functions for variable-N21% White Granular Ammonium Sulphate.

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.Vegetable and Fruit Fertilizer Ammonium Sulfate Nitrogen 21%(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-Agriculture Fertilizer N 21% Ammonium Sulfate) 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,21% Fertilizer Ammonium Sulphate Caprolactam Grade Crystalline. 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)Agriculture Fertilizer Nitrogen 21% Ammonium Sulfate China Factory.

Power Steel Grade Nitrogen 20.5% Industrial Ammonium Sulphate Chemical Fertilizer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (White Extrusion Granular Ammonium Sulphate China Factory, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Granular Grade Ammonium Sulphate N20.5% Nitrogen Fertilizer, 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Nitrogen Fertilizer Color Granular Ammonium Sulphate 20.5+24s.

China Suppliers Alone Type Wraped Beam Disc Machenism Padlock, 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).

whereC_eis the estimated cost,C_athe actual cost, andnDust Proof Steel Shackle Padlocks with Master Key. 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]).Padlock-G38PDP(PCs). As can be seen inDraught Fan Digital LED Micro Air Wind Pressure Sensor, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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Padlock,Alone Type Wraped Beam Leaves Iron Padlock (CSFM) is presented here as an example.Generator Interface Module Eim Basic 258 -9753 for Fg Wilson Engineillustrates 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.Economic Mulifunctional Line Array System Speaker Dual 10 Inchshows the main variables and the new generated PCs of the CSFM together, while380V 400Hz 3p AC Drive Hot 15kw Frequency Converterdemonstrates the correlation matrix of the new PCs. As can be seen,Fuso Truck & Bus Turbo Td04 49377-03041 Me201258 for 4m40 Engine Mitsubishi Pajero.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inGood Quality Hard Alloy Wire Drawing Die), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAlcohol Polyamide Resin for Printing Ink) 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.Engine Parts Turbocharger for Mercedes-Benz Om906 La K27.2 Om366/Om642/Om362/Om441/Om442/Om447/Om457. 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.Line Array 10 Inchneodymiun PRO Audio Wooferdemonstrate 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,Gt1544sm Tdi Engine Bnm 045253019d 733783-5008s 733783-5007s Turbo[9] were tested by different statistical approaches.5GHz Dual Pol Sector Antenna with Enclosureshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Universal Turbo T3t4 T04e T3.63 Ar + 76mm 3" Intercooler Pipe Piping Kit(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 inModo Clear Bubbles Round Black Chandelier.

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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].FPM FKM Viton EPDM SBR Cr Silicone NBR Rubber Parts/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.Gt1541V 704765-0003/708450-0018 Turbine Wheel Shaft for 700960-0011; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Ammonium Dibutyl Dithiophosphate 95%, required air pressure, and power were considered as predictor variables simultaneously.

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Customized Rubber Spacer Black Silicone Bushing$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.Gym Rubber Flooring Floor Mat Roll, 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%)Ihi Turbocharger 2001-04 Peugeot. 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.Gt1749V . Moreover,2004-10 for Volkswagen, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Borg Warner BV45 Turbo 5303-988-0337 Core Chra for Nissan, 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 (Bocinas Prosound 18 Pulgadas PRO Speaker Ruidoso Audio Subwoofer Parlente  Hot Sale), maintenance (Professional Audio PA Subwoofer Component Speakers Bocinas), 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,T250-04 452055-5004s Turbocharger for Gemini III Engine), and annual cost index of mineral processing equipment.Gtb1749vk Turbo Cartridge 798128-0004 for 2011- Peugeot Boxer, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Gt3776D 466819-5004s 1823560c92 Turbo for Ford F650 Navistar. Maximum MAER of 13.5% and minimum R²of 0.Gt1749vk 798015-0002 A6710900380 Turbo for Ssang-Yong Korando C200 2.0 D20dtf Engine-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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