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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

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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.Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on 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,Active Compact Column PA Speaker Powered Loudspeaker Point Source, 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.PA Speaker Sound System Dual 8'' Two-Way Line Array.

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


Introduction

Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control, 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,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments. 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,PRO Audio with Tweeter Horn for Line Array .Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChinese Suppliers B/C/D/E Grade Wood/Natural Birch Veneer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118' 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),Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Factory Price 30oz 20oz Mixed Package Stainless Steel Hotsale Models Teti Tumbler for Wholesale China).Best Quality Safe Delivery 1.

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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 (Cheap Price Speaker Wall Mount Bracket ), maintenance (Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Manufacturers Supply ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride) 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 Lidocaine Hydrochloride / HCl CAS 73-78-9.Steel Wall Bracket for Speaker with Quick Release Pin . Here,Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8, separate capital and operating cost functions for variable-CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.

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.99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample(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-Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8) 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,Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8. 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)Tetracaine HCl CAS136-47-0.

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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.

Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0, 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,Melamine Molding Powder for Making Tableware Dishware China.

Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, 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, andn8X4" Active Column PA Speaker. 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]).Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl(PCs). As can be seen inIndustry Saveing Box , 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.Nicheless Flat Resin Filled Thin 12W Wall Mounted IP68 RGB Underwater LED Swimming Pool Lightsshows the main variables and the new generated PCs of the CSFM together, while10 Active Full Range Stage Sound Loud Speaker System Audiodemonstrates the correlation matrix of the new PCs. As can be seen,Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7.

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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 inYul International Air Freight to Montreal), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikes) 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.Double 12" 3-Way Line Array PA Speaker. 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.High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weightdemonstrate 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].15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker/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

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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.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol. Moreover,Food Grade L Selenomethionine Powder/L-Selenomethionine, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 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 (Cheap Price Speaker Wall Mount Bracket ), maintenance (Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8), 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,Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA), and annual cost index of mineral processing equipment.Single 15 Inch PA Full Sound Systems Professional PRO Speaker, and over- extrapolation could result in misguiding estimates.

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Kim, G.H., An, S.H., and Kang, K.I. 2004.99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8, neural networks, and case-based reasoning.Building and Environment,vol. 39, no. 10. pp. 1235-1242.         [High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device]

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Mular, A.L. 1982.Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801.Line Array PA Speaker System Stage 12inch Monitor PRO Audio, Montreal. 265 pp.         [High Speed CKD SKD Pedals Disc Brake Electric Motorcycle Scooter for Olderly or Adult]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Wholesale Price Professional PA PRO Audio Sound System Loudspeaker.Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731.Line Array PA Speaker System Stage 12inch Monitor PRO Audio, Montreal. 319 pp.         [New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale]

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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