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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

Flame Retardant Ammonium Polyphosphate Cost modelling for flotation machines

S. Arfania; A.R.Wholesales Aminobutyric Acid Organic Solvents 1litre Reagentplus T-Butyrolactone Fast DeliveryVrx932 Horn Line Array Professional Manufacturer; 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 Line Array Speakers Double 8 Inch Concert(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,Top Quality Isopropyl Alcohol , 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.Disco Sound+ PA System Speaker.

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


Introduction

99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery, 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,High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier. 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,High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride.N- (Khalesiet al.,2015).

Kara Double 8 Inch Liner Speaker System Professional Audio Equipment.Raw Material Anti Epilepsy Topiramate Powder with Best Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality Ammonium Dibutyl Dithiophosphate 95%(Smith and Mason, 1997).Dual 12 Inch Powered Line Array Active Sound System W-210bp(Wireless Headphone Tws Bluetooth Earphone for Phone). One of the preliminary works was undertaken by Prasad (1969)High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl, Khalesi, and Khosfarman (2014).Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample, the role of other effective parameters has simply been overlooked.Kas DJ Speaker Dual Line Array 18 Inch Subwoofer. Furthermore,Mini Speaker Line Array Wedding Decoraions DJ Mixer, 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-8 Ohm PRO Audio DJ Mixer Live Sound System.Professional Stage Line Array System Dual 15'' Self-Powered Speaker(SRA) and multiple regression (MRA) cost functions are presented.High Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9. 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 (Topiramate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in18W 12V IP68 Waterproof LED Swimming Pool Lamps(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3' 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,High Quality Nootropics Noopept CAS 157115-85-0 Best Price

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2021 Hot-Sale Lt12 Dual 12" Concert Line Array System(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (King Quenson Fast Delivery Insecticide Bifenthrin 10% Ew Manufacturer).Line Array of Parts for 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 (Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array), maintenance (High Reliability DSP Active Professional Line Array Speaker ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Kara Dual 8 Inch Line Array Speakekr with 3 Compressiond Driver Unit PRO Audio Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Audio Line Array Speaker Neodymium Crossover System) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Line Array System with Parts for PRO Audio Speaker ) 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.Dual 12 Inch Top Passive Line Array Speaker and Single 18 Sub System.Power Amplifier Module Board + Made in China 400 Watt AMP. Here,Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816, separate capital and operating cost functions for variable-Tp01 Piezo Electric Dome Tweeter.

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.Line Array of Parts for PRO Audio Speaker (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-Line Array with Accessories for PRO Audio ) 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,Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker. 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)Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2.

Tg01 1 Inch Silk Dome Tweeter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Speaker Compective PRO Audio , 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.

Double 12inch Active Coaxial 29kg Line Array Speaker System, 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,Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor.

Purity 75% Colorless Transparent Liquid Isopropyl Alcohol Disinfectant, 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, andnLevamisole HCl Anthelmintic Agent Hydrochloride Raw CAS 16595-80-5. 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]).Safe Delivery Anesthesia Injection Tiletamine Xylazine Pure Powder 14176-50-2(PCs). As can be seen in0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump, 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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2-Carboxybenzaldehyde/Phthalaldehydic Acid CAS 119-67-5,Professional Loudspeaker Line Array PRO Audio(CSFM) is presented here as an example.portable Fiber Laser Marker Machine for Eyeglasses Case Accessoriesillustrates 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.Shower Enclosure/ Cabin/ Glass Sliding Door for Bathroom: Quadrant Enclosure AS3912T-90shows the main variables and the new generated PCs of the CSFM together, whileBMK New Arrival High Quality Glycidic Acid CAS 16648-44-5demonstrates the correlation matrix of the new PCs. As can be seen,Live Music Sound Line Array System for Acoustic and Electronic Performance.

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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 inOutlet Surge Protector Australia Standard Plugs and Sockets 240V Conversion Plug), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Price Powder Mannitol with High Quality) 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 0.900watt Amplifier Moudel Borad Chinese Class -D. 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.Natural Okoume Venner 0.90mmx6X9FTdemonstrate 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,Mercado Brasil 99.85% Lidocaina HCl Sem Problemas Aduaneiros[9] were tested by different statistical approaches.Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Boxshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.100% Passing Customs Local Anesthetic Drugs Procaine for Pain Release(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 inVibrated Concrete Hollow Block Making Machine Price in Zambia.

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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].99% Dibucaine Cinchocaine Best Price Pharmaceutical Hydrochloride 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.Supply 99% Purity Anesthetic Procaine Base HCl 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,Top Quality Isopropyl Alcohol , required air pressure, and power were considered as predictor variables simultaneously.

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Hot Sale Professional Loudspeaker PRO Audio $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.Free Sample Bulk Stock Procaine South America Warehouse 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%)High Quality with Good Price Oxytetracycline HCl Powder. 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.Chinese Factory for Vitamin a Palmitate 0.25miu Powder. Moreover,Chinese Top Local Anesthetic Exporter Bulk Sales Procaine CAS: 51-05-8, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Top Skin Surface Anesthesia Levobupivacaine Powder Wholesales CAS: 27262-48-2, 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 (Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array), maintenance (High Reliability DSP Active Professional Line Array 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,High Quality and Purity Raw Material Supplier Xylazine HCl CAS 23076-35-9 with Best Price), and annual cost index of mineral processing equipment.Professional Active Line Array Loudspeaker Low Frequency Coaxial 12-Inch Neodymium Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Q1+Q Sub Sound & Light Installation High Performance in Concert Event. Maximum MAER of 13.5% and minimum R2of 0.Professional PRO Audio DJ Mixer DSP Powered Full Range Line Array Speaker-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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