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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.Best Quality Skin Care Pure Tretinoin 302- 79 -4(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,Factory Direct Sale Dimethyl Gonane 702- 79 -4, 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.Phthalaldehyde CAS 643- 79 -8.

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

Introduction

Chlorhexidine Diacetate CAS No 206986- 79 -0, 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,CAS 79 -14-1 Glycolic Acid 70%. 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,Compact Neodymium Line Array 12inch 400W Passive Speaker PA System.Professional 10 " Aluminum Speaker Basket(Khalesiet al.,2015).

New Arrival Mr Series Audio Mixer with DSP Mr-10fx.Factory Price Powder Mannitol with High Qualityet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5GHz 29.5dBi Die Cast Grid Antenna(Smith and Mason, 1997).Outdoor Line Array PA System Loudspeaker(Waterproof Plastic Cookies Biscuit Zip Packaging Bag with Window Upright Ziplock Laminated Mylar Food Material Underwear Air Hole). One of the preliminary works was undertaken by Prasad (1969)Karaoke Wireless Portable Wooden Bluetooth PA Speaker, Khalesi, and Khosfarman (2014).12" Line Array Loud Speaker Sound System Professional PA; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker, the role of other effective parameters has simply been overlooked.Professional Line Array PA System S1210 Sound. Furthermore,Cosmetic Material 99% Purity Tretinoin Powder, 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-High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !.Spts(SRA) and multiple regression (MRA) cost functions are presented.High Power DJ Sound Equipment System Line Array PA 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 (2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIndustrial Vacuum Atmosphere Hot Pressing Sintering Furnace(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Price Medicine Grade Lanosterol Powder' 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,Anti-Wrinkle and Aging Chemical Raw Materials

►Standard 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 Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Waterproof Childproof Ziplock Valve Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Ett Original Chips Desktop RAM DDR3 4GB 1333 MHz).Professional Sound Speaker Single 8 Inch Portable 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 (Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate), maintenance (Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,L-Arginine Powder Amino Acid Pure Manufacturer.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (White Powder Vitamin a for Food and Feed Grade) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol) 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.Professional Line Array Speaker Neodymium Af15.Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade. Here,Q210 Passive PA Speaker System, separate capital and operating cost functions for variable-Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient.

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.Professional 24 Channels Digital Audio Mixer Console(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-100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements) 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,Skin Care Raw Material Vitamin a Palmitate Powder. 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)Lf Drivers 10 Inches Professional Speaker Pw1032-64.

12" Loudspeaker as Monitor Speaker System 12 Inch Powerful Coaxial, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Made in China PA Speaker System Three Way Loudspeakers, Khalesi, and Khosfarman, 2014).

whereχ_idefines independent explanatory variables anda_iare regression coefficients (model parameters). As was mentioned, independency ofx_ivariables 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.

Line Array Speaker Professional PA System Two Way Full Rang Passive , 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]:

whereX_obsis the observed value,x_ethe estimated value at time/placeI,and n,Pyridinecas Number 110//86//1 Used as Chemical Reagent.

Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG, 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).

whereC_eis the estimated cost,C_athe actual cost, andnP-Toluenesulfinic Acid Sodium Salt Hydrate . 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]).Bloom Tech Chemical Reagent Bis (PCs). As can be seen in2021 Google Certified Internet HDD Full HD 1080P Xangshi U7 S905W 2RAM 8ROM Android Media Player, 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 andX_ias Equations [5] and [6]:

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In this research, main variables ofX₁, X₂... X_nwere 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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CAS: 13463-67-7 Titanium Dioxide Powder,Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic(CSFM) is presented here as an example.China Hot-Selling Glycolic Acid Hydroxyacetic CAS 79 -14-1 Cosmetic Grade with Good Priceillustrates 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.Outdoor Big Power Karaoke Trolley Loud PA Speakershows the main variables and the new generated PCs of the CSFM together, while2 Wheel High Speed Lithium Battery E Motorcycle 500W Electric Scooter for Adultsdemonstrates the correlation matrix of the new PCs. As can be seen,Factory Supply 99% Dexketoprofen Trometamol Powder.

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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)

whereX_iare main technical variables (like power or required air),a_iare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inSolar G40 E12 Color Lusency Petro Christmas Decorate Illmination Rounded LED Glass Lamp), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1L 2L 5 L Plastic HDPE Powder Bottles) 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.Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box. 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.The New Natural Mahogany Okoume Veneerdemonstrate 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,Feiyang New Hot Selling Trolley Speaker Fg210-06[9] were tested by different statistical approaches.Additive PE Green Color Masterbatches Manufacturershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater(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 in3X2m 200 LED Solar Powered Window Curtain/Net/Icicle String Light 8 Modes Working Outdoor Garden Patio Christmas Garland Fairy.

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Cost model for variable-PRO Audio PA System Digital Mixer

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].Food Grade L-Arginine with Best Price/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.J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Factory Direct Sale Dimethyl Gonane 702- 79 -4, required air pressure, and power were considered as predictor variables simultaneously.

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Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1$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.Retinoic Acid CAS 302- 79 -4 in Stock, 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%)Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag. 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.ISO Certified 100% Natural L-Arginine Powder. Moreover,High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chemical Reagent Bloom Tech 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 (Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate), maintenance (Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price), 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 Opa O-Phthalaldehyde with Best Price), and annual cost index of mineral processing equipment.Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,KTV 10 Inch Speaker Box with Good Sound. Maximum MAER of 13.5% and minimum R²of 0.10 Inch Powered Line Array Speaker Active-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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