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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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Acid Dyes for Nylon Blue 113 Bluish Deep 5r CAS No. 3351-05-1 High Quality

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

Hot Sale China Best Price of Solvent Base Liquid Polyurethane Resin for FoamCost modelling for flotation machines

S. Arfania; A.R.Vitamin a Palmitate Powder 500 Cws-GfpYineng Yn725 Mini Wheel Loader 18.5kw Cabin; 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.L-Pyroglutamic Acid(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,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good 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.Supply High Purity Oxalyl Chloride CAS: 79 -37-8.

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


Introduction

Fatory Supply Thiosemicarbazide CAS 79 -19-6, 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 Retinoic Acid . 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 98% Tretinoin .Selling Dibucaine Hydrochloride/Dibucaine HCl CAS 61-12-1 with Best Price(Khalesiet al.,2015).

Sugammadex Sodium CAS 343306- 79 -6 Manufacturer and Supplier.Pharmaceutical 1% Huperzine a Powder Novel Treatment Alzheimer's Drugs CAS: 120786-18-7 Canada Sample Freeet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Scarlet/ Violet / Purple/ Golden/Green Pigment Paste(Smith and Mason, 1997).Rifamycin S 96% CAS: 13553- 79 -2(High Quality Carb Certified Birch Faced Furniture Plywood). One of the preliminary works was undertaken by Prasad (1969)Professional Audio Speaker System Sing 8 Inch Mini Stage Monitor PS8r2, Khalesi, and Khosfarman (2014).High Quality Hydroxyacetic Acid Glycolic CAS 79 -14-1 Cosmetic Grade; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Outdoor PA System Three-Way Large Touring Performance Line Array Speaker, the role of other effective parameters has simply been overlooked.Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6. Furthermore,High Quality Oxytetracycline Hydrochloride Powder Feed Grade CAS 79 -57-2, 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-Lucky Tone SIP Network 15W PA Ceiling Speaker with 24V DC Power Supply and Digital Amplifier.High Purity Amino Acid L-Arginine Powder(SRA) and multiple regression (MRA) cost functions are presented.Potassium 2. 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 (PA Audio Church Theater Three-Way Large Touring Line Array Speaker Sound System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inChina High Purity Pharmaceutical Intermediate CAS 85- 79 -0 Cinchocaine with Competitive Price(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Speaker System Single 8 Inch 200W Mini Stage Monitor PS8r2' 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,PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hench Hot Sales Raw Material Powder Oxytetracycline(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (85*120*16mm 6917zz 6917z 61917zz 61917z 6917 61917 1917s Zz 2z Z C3 C0 C2 Metal Shields Metric Thin-Section Radial Single Row Deep Groove Ball Bearing).New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1020.

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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 (Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free), maintenance (Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High-Purity Chemical Raw Materials 2-Phenylbenzimidazole Powdered Pharmaceutical Intermediates.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (2-Aminoanthraquinone CAS No 117- 79 -3) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Food Additives L-Arginine with Low Price) 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.Latest Product Powder 2-Phenylbenzimidazole Chemical Raw Material.Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Free. Here,China Supply 1, separate capital and operating cost functions for variable-China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 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.Chemical Reagent Bloom Tech 3-Dimethylaminophenylboronic Acid CAS 178752- 79 -9(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-Safe Shipping with Good Price Tretinoin Powder) 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,Dpc Diphenyl Carbonate CAS 102-09-0. 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)Bloom Tech Chemical Material Topiramate CAS 97240- 79 -4.

100% Water Soluble Vitamin a Palmitate Powder Retinyl, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China Supplier of CAS 702- 79 -4 1, 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.

Free Sample CAS 32780-32-8 PT141 PT 141 10mg Peptide Raw Lyophilized 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,High Quality Aod-9604 CAS 221231-10-3 Aod 9604 Peptides 2mg for Loss Weight.

CAS 79 -57-2 Oxytetracycline, 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, andnAzd3759 CAS No. 1626387-81-2. 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]).Food Additives L-Arginine with Top Quality(PCs). As can be seen inSimple Upholstered Copper Nail Vintage Style Velvet Lounge Sofa, 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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99% Purity 1,PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac(CSFM) is presented here as an example.Self Sealing Bags Heat Aluminum Foil Food Packaging Zipper Custom Printed Mylar Bagillustrates 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.10 " PRO Audio DJ Line Array Speaker Equipment Systemshows the main variables and the new generated PCs of the CSFM together, whileMylar Barrier Exit Waterproof Cr Bagdemonstrates the correlation matrix of the new PCs. As can be seen,High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales.

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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 inP2.6 High Quality Die Casting Aluminum Indoor LED Display Screen), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromTractor loader/ mini loader with four wheels for loading) 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

2-Aminoanthraquinone CAS No 117- 79 -3

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.High Quality Tretinoin 302- 79 -4 with Good Price. 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.Stage Monitor Professional Speaker Multi-Function Hall Fill Loudspeaker All Occasions 450W with M1220demonstrate 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,3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1[9] were tested by different statistical approaches.10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Powershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China(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 in50Hz 380V Cummins Engine Powered by 100kw 200kw 300kw 400kw Diesel Generator with Stamford Alternator.

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Cost model for variable-High Fidelity Professional Line Array Speaker

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].N/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.Vitamin a Palmitate CAS 79 -81-2; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Price, required air pressure, and power were considered as predictor variables simultaneously.

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40wx2 10 " Portable PS Series Party Speaker$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 0.100% CAS 79 -57-2 Oxytetracycline Powder, 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%)New Arrival Mr Series Audio Mixer with DSP Mr-12fx. 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.Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality. Moreover,Powered Speaker System for Home Theater, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cosmetic Grade L-Arginine with High Quality, 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 (Natural Weight Loss Supplements Huperzine a Powder CAS: 120786-18-7 USA Hupa Sample Free), maintenance (Pharmaceutical Chemical Tretinoin Powder with Excllect Effect Safe Ship), 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,320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate), and annual cost index of mineral processing equipment.Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Best Quality Skin Care Pure Tretinoin 302- 79 -4. Maximum MAER of 13.5% and minimum R2of 0.Factory Direct Sale Dimethyl Gonane 702- 79 -4-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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