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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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S. Arfania; A.R.Vitamin a Palmitate 1.0mCe Certification Plastic PP Blue Color Masterbatch; 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.High Purity 99% Oxalyl Chloride with Good Quality(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,2-Cyclohexylethanol , 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.L-Pyroglutamic Acid.

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


Introduction

Reliable Supplier of Chlorphenesin/104-29-0 with Best Price in Stock! !, 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,Vitamin a Palmitate Powder 500 Cws-Gfp. 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,L-Pyroglutamic Acid.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price(Khalesiet al.,2015).

Supply High Purity Oxalyl Chloride CAS: 79 -37-8.Fatory Supply Thiosemicarbazide CAS 79 -19-6et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 250W- 800W Handicapped Mobility Scooter for Old People with Basket(Smith and Mason, 1997).High Quality Retinoic Acid (Mammut Hot Sale Wl12 1ton Electric Control Mini Front End Wheel Loader). One of the preliminary works was undertaken by Prasad (1969)High Quality 98% Tretinoin , Khalesi, and Khosfarman (2014).Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier, the role of other effective parameters has simply been overlooked.Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Free. Furthermore,Rifamycin S 96% CAS: 13553- 79 -2, 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-Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2.High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade(SRA) and multiple regression (MRA) cost functions are presented.Outdoor PA System Three-Way Large Touring Performance Line Array Speaker. 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 (Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in45kw Mf Induction Heating Machine Heater(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2' 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 Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Small Business Equipment Hollow Block Making Machines).Professional Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2.

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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 Speaker System Single 15 Inch High Power Line Array Aw15), maintenance (PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Hench Hot Sales Raw Material Powder Oxytetracycline) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020) 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.Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free.Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship. Here,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates, separate capital and operating cost functions for variable-2-Aminoanthraquinone CAS No 117- 79 -3.

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.Food Additives L-Arginine with Low Price(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-Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material) 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,Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free. 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)China Supply 1.

China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9, 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.

Safe Shipping with Good Price Tretinoin Powder, 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,Dpc Diphenyl Carbonate CAS 102-09-0.

Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4, 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, andn100% Water Soluble Vitamin a Palmitate Powder Retinyl. 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]).China Supplier of CAS 702- 79 -4 1(PCs). As can be seen inSwitch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports, 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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High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight,CAS 79 -57-2 Oxytetracycline(CSFM) is presented here as an example.0.8 Ton Chinese Low Cost High Quality Hydraulic Wheel Loaderillustrates 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.Health Raw Material L-Carnitine Fumarate CAS.: 90471- 79 -7shows the main variables and the new generated PCs of the CSFM together, while4800-6500MHz 29dBi MIMO Dish Antenna 28dBi Parabolicdemonstrates the correlation matrix of the new PCs. As can be seen,Azd3759 CAS No. 1626387-81-2.

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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 inNewest Arrival Epoxy Doming Metal Lapel Pin with High Quality), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDual 10 Inch Top and Double 15 Bass Portable Multi-Functional Line Array Speaker System) 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.Chemical Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -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.UV White Birch Plywood 18mm Carb E0 Cabinetdemonstrate 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% Purity 1[9] were tested by different statistical approaches.Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac(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 inSida Big Granular Dry Ice Machine for Making Plant 500-1000kg/H.

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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].2-Aminoanthraquinone CAS No 117- 79 -3/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.High Quality Tretinoin 302- 79 -4 with Good Price; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,2-Cyclohexylethanol , 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.IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out. Moreover,Best Price Diclofenac Sodium with High Quality, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (40wx2 10 " Portable PS Series Party Speaker, 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 Speaker System Single 15 Inch High Power Line Array Aw15), maintenance (PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio), 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,100% CAS 79 -57-2 Oxytetracycline Powder), and annual cost index of mineral processing equipment.New Arrival Mr Series Audio Mixer with DSP Mr-12fx, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. 1982.Professional 10 " Aluminum Speaker Basket.New Arrival Mr Series Audio Mixer with DSP Mr-10fx.Factory Price Powder Mannitol with High Quality, Montreal. 265 pp.         [Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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