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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.D&B Style Dual 10 Inch Compact Line Array (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,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable, 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.Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container.

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

Introduction

Family Usage Embossed Vacuum Bags for Food, 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,Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag. 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,Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper.Dual 10 " Compact Speaker Line Array (Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in250cc Motor Cabin Tricycle Cargo with Canopy(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 10 " Compact Professional Line Array ' 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,Bio-Degradable Brown Kraft Food Packaging Bag

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Child Resistant Waterproof Plastic Bag with Zipper, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Classic Style Pack 100 Paper Coffee Carton Cups Single Wall for Hot Drinks).Fried Chicken Sweet Chili Sauce Food Packaging.

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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 (Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic), maintenance (Kraft Paper Flat Bottom Bag with Ziplock) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Alumimun Foil Film Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (99 Purity Peptides Oxytocin Injection Acetate 2mg) 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.99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder.Lf Driver 10 Inches 63.5mm Kapton Coil Professional Speaker . Here,USP Diclofenac Sodium Powder Pharmaceutical Raw Materials CAS 15307- 79 -6 Anti Inflammatory, separate capital and operating cost functions for variable-Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China.

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.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder(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-10'' Inch Ferrite Woofer) 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).

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whereYrefers to capital or operating costs,Xdefines an independent variable (one of the machine predictor variables), andaandbare constant values (parameters)10'' Ferrite Woofer.

Professional Stage Line Array System Dual 10 Inch DSP Active Speaker , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (D&B Style Dual 10 " Professional Speaker Line Array , 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.

UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, 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,Line Array 10 Inchneodymiun PRO Audio Woofer.

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whereC_eis the estimated cost,C_athe actual cost, andnMylar Custom Printing Barrier Exit Bag. 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]).10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipment(PCs). As can be seen inDust Proof Steel Shackle Padlocks with Master Key, 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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Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker,Manufacturer Supply 1(CSFM) is presented here as an example.2HP Frequency Converter Vector Single Phaseillustrates 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.3X3 video wall LCD HD 1080P digital display screenshows the main variables and the new generated PCs of the CSFM together, whileInconel X-750 Forged/Forging Round Bars demonstrates the correlation matrix of the new PCs. As can be seen,Dual 10inch Powerful Line Array Speaker Ds210 Professional.

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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 inChina Famous Automatic Machinery That Removes Tree Bark for Sale), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2) 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.Neodymium Double 10 Inch DSP Active Professional Powered Line Array Speaker. 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.10 Inch Coaxial Speaker Professional Driver 250wrms " Line Array Church Sound Equipmentdemonstrate 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,Fast Delivery 1-Bromo-3 5-Dimethyladamantane CAS 941-37-7/941 37 7/941377/702- 79 -4/702 4/702794[9] were tested by different statistical approaches.China Hot Sale Professional Speaker Dual 10 Inch Line Arrayshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Supply Rubber Accelerator Mbt 2-Mercaptobenzothiazole CAS No.: 149-30-4(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 inCustomized High Quality CNC Machining Maufacturer.

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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].10xt High-End PRO Audio Stage Monitor 10 Inch Coaxial Speaker Box/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.Pharmaceutical Intermediate 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable, required air pressure, and power were considered as predictor variables simultaneously.

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High Quality 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.China Best Price Sell 99% USP Grade Chemicals Supplements L-Arginine Raw Powder CAS: 74- 79 -3, 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 Products Factory Price Supply CAS 71277- 79 -7 Disodium Glycyrrhizate in Hot Sale. 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.Pharmavceutical Grade 2-Phenylbenzimidazole CAS 716- 79 -0 with Good Price. Moreover,High Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipper, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sell Well Opa, 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 (Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic), maintenance (Kraft Paper Flat Bottom Bag with Ziplock), 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,Best Price O-Phthalaldehyde), and annual cost index of mineral processing equipment.Good Quality Powder CAS 56377- 79 -8 Nosiheptide with Best Price, and over- extrapolation could result in misguiding estimates.

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References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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