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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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Professional Line Array Speaker Neodymium Af15Cost 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.99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery(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 Chloramphenicol CAS 56-75-7 China Factory Supplier, 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.High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride.

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


Introduction

N- , 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,Kara Double 8 Inch Liner Speaker System Professional Audio Equipment. 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,Raw Material Anti Epilepsy Topiramate Powder with Best Price.Dual 12 Inch Powered Line Array Active Sound System W-210bp(Khalesiet al.,2015).

High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl.Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Waterproof Dual 10 " Three Way Line Array Professional Audio Speaker System(Smith and Mason, 1997).Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample(350ml Brake Fluid Glue Tin Bottle). One of the preliminary works was undertaken by Prasad (1969)Kas DJ Speaker Dual Line Array 18 Inch Subwoofer, Khalesi, and Khosfarman (2014).Mini Speaker Line Array Wedding Decoraions DJ Mixer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,8 Ohm PRO Audio DJ Mixer Live Sound System, the role of other effective parameters has simply been overlooked.Professional Stage Line Array System Dual 15'' Self-Powered Speaker. Furthermore,High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9, 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-Topiramate.99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3(SRA) and multiple regression (MRA) cost functions are presented.Pain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3. 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 (Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEbike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Nootropic Powder 99% Noopept/Gvs-111 Manufacturer CAS 157115-85-0 Best Price' 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,Line Array of Parts for PRO Audio Speaker

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Reliability DSP Active Professional Line Array Speaker (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (New Fashion Metal Colorful USA Lapel Pin Badge for Promotion).Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker.

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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 Audio Line Array Speaker Neodymium Crossover System), maintenance (Line Array System with Parts for PRO Audio Speaker ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Power Amplifier Module Board + Made in China 400 Watt AMP) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816) 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.Tp01 Piezo Electric Dome Tweeter.Line Array of Parts for PRO Audio Speaker . Here,Line Array with Accessories for PRO Audio , separate capital and operating cost functions for variable-Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker.

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.Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2(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-Tg01 1 Inch Silk Dome Tweeter) 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,Professional Speaker Compective PRO Audio . 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)Double 12inch Active Coaxial 29kg Line Array Speaker System.

Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, 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.

Levamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5, 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,Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2.

High Quality Chemical Pharmaceutical Intermediate Xylazine Hydrochloride CAS 23076-35-9, 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, andn2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5. 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]).Professional Loudspeaker Line Array PRO Audio(PCs). As can be seen in3ru 24 in 1 CATV Fixed Channel Modulator , 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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PA System Passive ABS 100V 8ohm 10W Wall Mount Horn Speaker Waterproof for Outdoor Use,900watt Amplifier Moudel Borad Chinese Class -D(CSFM) is presented here as an example.Changhong Cj-Series Semi-Automatic High Speed 8 Color Flexographic Printing Machinesillustrates 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.High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Salesshows the main variables and the new generated PCs of the CSFM together, while45cm Offset Satellite TV Antenna with 200 Hour UV Testdemonstrates the correlation matrix of the new PCs. As can be seen,Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros.

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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 in5L Portable Oxygen Generator Mini Concentrator for Medical Hospital), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYn725g Yineng Mini Wheel Loader 18.5kw No 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.Factory Supply Best Price Fusidine/ Fusidic Acid Powder CAS: 6990-06-3. 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.Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speakerdemonstrate 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,99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride Powder[9] were tested by different statistical approaches.Small Fquequency Inverter/Converter for Mini Motorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Supply 99% Purity Anesthetic Procaine Base HCl 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 inInternational Best/Fast/Cheap Shipping Agent Service Freight From China to Somalia.

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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].Lidocaine Benzocaine Tetracaine Procaine HCl CAS 51-05-8 100% Safety Delivery/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.Hot Sale Professional Loudspeaker PRO Audio ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier, required air pressure, and power were considered as predictor variables simultaneously.

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Chinese Factory for Vitamin a Palmitate 0.25miu Powder$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.Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8, 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%)Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2. 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.High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price. Moreover,Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Q1+Q Sub Sound & Light Installation High Performance in Concert Event, 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 Audio Line Array Speaker Neodymium Crossover System), maintenance (Line Array System with Parts for PRO Audio Speaker ), 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,Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker), and annual cost index of mineral processing equipment.Powerful PRO Audio 2 Way Full Range DSP Powered Line Array Speaker, and over- extrapolation could result in misguiding estimates.

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.99.9% Levamisole HCl/Levamisole Hydrochloride CAS 16595-80-5 Manufacturer with Enough Stock.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [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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