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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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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

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S. Arfania; A.R.N- Ebike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life; 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.Kara Double 8 Inch Liner Speaker System Professional Audio Equipment(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,Raw Material Anti Epilepsy Topiramate Powder with Best Price, 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.Dual 12 Inch Powered Line Array Active Sound System W-210bp.

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


Introduction

High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl, 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,Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5. 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,Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample.Kas DJ Speaker Dual Line Array 18 Inch Subwoofer(Khalesiet al.,2015).

Mini Speaker Line Array Wedding Decoraions DJ Mixer.8 Ohm PRO Audio DJ Mixer Live Sound Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Skycron® Disperse Violet 26/HFRL Dyestuff Fabric Dye(Smith and Mason, 1997).Professional Stage Line Array System Dual 15'' Self-Powered Speaker(D&B Q1 Style Dual 10 Inch Professional Speaker ). One of the preliminary works was undertaken by Prasad (1969)High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9, Khalesi, and Khosfarman (2014).Topiramate; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3, the role of other effective parameters has simply been overlooked.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3. Furthermore,Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, 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-Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price.Anesthetic Raw Materials Tiletamine HCl Injection 14176-50-2 Bulk Price(SRA) and multiple regression (MRA) cost functions are presented.High Quality Nootropics Noopept CAS 157115-85-0 Best Price. 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 Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in3ru 24 in 1 CATV Fixed Channel Modulator (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot-Sale Lt12 Dual 12" Concert Line Array System' 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,Professional Audio Line Array Speaker Neodymium Crossover System

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Line Array System with Parts for PRO Audio Speaker , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Sample free cheap factory price disposable baby diapers).Power Amplifier Module Board + Made in China 400 Watt AMP.

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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 (Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816), maintenance (Tp01 Piezo Electric Dome Tweeter) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Line Array of Parts for PRO Audio Speaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Line Array with Accessories for PRO Audio ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker) 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.Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2.Tg01 1 Inch Silk Dome Tweeter. Here,Professional Speaker Compective PRO Audio , separate capital and operating cost functions for variable-Double 12inch Active Coaxial 29kg Line Array Speaker System.

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.Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor(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-Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant) 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,Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5. 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)Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2.

High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5, 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.

Professional Loudspeaker Line Array PRO Audio, 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,Live Music Sound Line Array System for Acoustic and Electronic Performance.

PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use, 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, andn900watt Amplifier Moudel Borad Chinese Class -D. 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]).Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros(PCs). As can be seen inChanghong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machines, 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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Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder(CSFM) is presented here as an example.45cm Offset Satellite TV Antenna with 200 Hour UV Testillustrates 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.Custom Printed Food Grade Aluminum Foil Plastic Packaging Weed Mylar Bag for Fine Powder Snacksshows the main variables and the new generated PCs of the CSFM together, whileHigh Purity and Good Price Glycolic Acid demonstrates the correlation matrix of the new PCs. As can be seen,Supply 99% Purity Anesthetic Procaine Base HCl CAS: 51-05-8.

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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 in500kg/Hr Full Automatic Powder Coating Production Line Equipment), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker) 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.Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery. 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.China Factory Price CAS 702- 79 -4 1demonstrate 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,Hot Sale Professional Loudspeaker PRO Audio [9] were tested by different statistical approaches.Factory Mining Tyreshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Free Sample Bulk Stock Procaine South America Warehouse CAS: 51-05-8(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 inCustom Magnetic Lighted Sign Taxi LED Letrero.

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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].Chinese Factory for Vitamin a Palmitate 0.25miu Powder/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.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Raw Material Anti Epilepsy Topiramate Powder with Best Price, required air pressure, and power were considered as predictor variables simultaneously.

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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.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker. Moreover,Dual 18 Subwoofer Speaker with 12 Inch Audio Professional Kas Line Array, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful Subwoofer, 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 (Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816), maintenance (Tp01 Piezo Electric Dome Tweeter), 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,Kas 12 Inch Line Array Audio Professional DJ Speakers 18 Subwoofer), and annual cost index of mineral processing equipment.Qg-12-12 Inch Professional Full Range PRO Audio Speaker Box, and over- extrapolation could result in misguiding estimates.

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References

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Mular, A.L. 1982.Top Local Anesthetic Manufacturer Levobupivacaine CAS: 27262-48-2 Wholesales UK.99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock.Food Grade Vitamin a Oil Palmitate 1.7million Units. CAS79-81-2, Montreal. 265 pp.         [Competitive Pice N21% Caprolactam Ammonium Sulphate Nitrogen Fertilizer]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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