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J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017



Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote ControlCost modelling for flotation machines

S. Arfania; A.R.99% Purity 1Straight Shank Collets C16 C20 C25 C32 Collet Chuck for Power Milling; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac(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-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales, 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 0.2-Aminoanthraquinone CAS No 117- 79 -3.

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


High Quality Tretinoin 302- 79 -4 with Good Price, 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,3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1. 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,Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China.High Fidelity Professional Line Array Speaker (Khalesiet al.,2015).

N.Vitamin a Palmitate CAS 79 -81-2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Chemical Reagent Bloom Tech 2(Smith and Mason, 1997).IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out(J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System). One of the preliminary works was undertaken by Prasad (1969)Best Price Diclofenac Sodium with High Quality, Khalesi, and Khosfarman (2014).40wx2 10 " Portable PS Series Party Speaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,100% CAS 79 -57-2 Oxytetracycline Powder, the role of other effective parameters has simply been overlooked.New Arrival Mr Series Audio Mixer with DSP Mr-12fx. Furthermore,Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality, 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-Powered Speaker System for Home Theater.Cosmetic Grade L-Arginine with High Quality(SRA) and multiple regression (MRA) cost functions are presented.320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Chinese Factory Special Cosmetic Raw Materials for Wrinkle Removal and Moisturizing High Purity Nano Liposomal Hydroxypropyl Tetrahydropyrantriol, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inElectric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Quality Skin Care Pure Tretinoin 302- 79 -4' names:

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),New Arrival Mr Series Audio Mixer with DSP Mr-10fx(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Yingjiao High Quality OEM Shenzhen Rickshaw Cellphone Charger Switching Power Supply).Factory Price Powder Mannitol with High Quality.

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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 (Outdoor Line Array PA System Loudspeaker), maintenance (Karaoke Wireless Portable Wooden Bluetooth PA Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,12" Line Array Loud Speaker Sound System Professional PA.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Line Array PA System S1210 Sound) 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.Cosmetic Material 99% Purity Tretinoin Powder.High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !. Here,Spts, separate capital and operating cost functions for variable-High Power DJ Sound Equipment System Line Array PA Speaker.

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.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array(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-Best Price Medicine Grade Lanosterol 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,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array. 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)PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address.

Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Cosmetic Grade L-Arginine with Best Price, 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.

Anti-Wrinkle and Aging Chemical Raw Materials, 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 Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery.

Waterproof Childproof Ziplock Valve Bag, 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, andnProfessional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2. 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]).Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate(PCs). As can be seen inActive Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, 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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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.Factory Design Logo Food Grade Colourful Printing Sealed Stand up Scented Tea Packaging Bagshows the main variables and the new generated PCs of the CSFM together, whileIP68 Resin Filled Wall Mounted Swimming Pool Light with Two Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol.

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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 inHigh Quality Body sticker for Toyota Car Emblems), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromChina 300cc Adult Road Legal 2 Seat Pedal Go Kart) 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.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade. 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.850 Alicosolar 5kw on Grid Solar System for Home Use Growatt 3phase Grid- Tied Inverter Output Voltagedemonstrate results for the machines modelled in this research.

Multiple regression results

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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].100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements/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.


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Paper received Apr. 2015
Revised paper Received Jul. 2016

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