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High Qualty Line Array LoudspeakerCost modelling for flotation machines

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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.High Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1(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,Chemical Reagent Bloom Tech 2, 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.High Quality Opa O-Phthalaldehyde with Best Price.

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

Introduction

Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/G, 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,KTV 10 Inch Speaker Box with Good Sound. 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,10 Inch Powered Line Array Speaker Active.Hot Sale Model V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker(Khalesiet al.,2015).

Dual 10 Inch Line Aray Powered Active Sound System.60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Micset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Single 8inch Professional Loudspeaker Two-Way Full Range Festures KTV(Smith and Mason, 1997).Manufacturer Supply 1(Newest Hot Sell Guitar Machine Head Tuner). One of the preliminary works was undertaken by Prasad (1969)Dual 10inch PA Audio Line Array Speaker Box System, Khalesi, and Khosfarman (2014).Dual 10 " 600W Line Array PA Professional Speaker ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,10 " Dia Cast Aluminum Professional Subwoofer Basket, the role of other effective parameters has simply been overlooked.Food Packaging Vacuum Pouch. Furthermore,Good Quality Sulbactam/Sulbactam Acid 68373-14-8 with Low Price and Fast Delivery, 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-L-Arginine 99%.China Factory Price CAS 702- 79 -4 1(SRA) and multiple regression (MRA) cost functions are presented.CPP High Temperature Vacuum Retort Pouch. 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 (Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inAccredited Ce E Bike Batteries 36V 48V Ebike Battery 10ah-40ah Lithium(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Temperature 3 Side Seal Retort Pouch for Corn' 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,High Quality Laminated Food Grade Roll Film

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,D&B Style Dual 10 Inch Compact Line Array , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Safety Shape Bag /Food Packaging Contact Plastic Container for Resealable(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Travel Large Capacity Outdoor Waterproof Multifunction Anti Theft Computer USB Charging Laptop Backpack Bag).Custom Plastic Coffee Flat Bottom Food Packaging with Ziplock Container.

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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 (Family Usage Embossed Vacuum Bags for Food), maintenance (Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Snsck Food Bag Fried Flat Bottom Box Pouch with Zipper.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Dual 10 " Compact Speaker Line Array ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (10 " Woofer with 3" Voice Coil) 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.Lf Drivers 10 Inches 50-4000 Response Martin Audio Speaker Pw1026-64.Dual 10 Inch Line Array Speaker for Theater . Here,Lf Driver 10 Inches 64mm Glass Fiber Coil Professional Speaker , separate capital and operating cost functions for variable-Dual 10 Inch Line Array for Church .

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.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box (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).

In this paper,V20 Dual 10 Inch Three-Way Audio Small Line Array Speaker. 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)Q1 Dual 10 " Line Array System.

D&B Style Dual 10 " Compact Line Array , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (New Tw Audio Vera36 Dual 10 " Line Array Speaker System, 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.

Professional Line Array Vtx V20 Dual 10 Inch Three Way Speaker, 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,Dual 10 " Compact Professional Line Array .

Custom Kraft Paper Flexible Food Packaging Flat Bottom Bag-100gr, 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, andnCustom Water Proof Child Resistant Food Grade Plastic Aluminum Laminated Stand up Container 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]).Hot Sale Vacuum Bag Nylon Material for Agricultural Products(PCs). As can be seen inDouble 12'' Line Array Audio, 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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Bio-Degradable Brown Kraft Food Packaging Bag,Child Resistant Waterproof Plastic Bag with Zipper(CSFM) is presented here as an example.J45 J4205 Android Free Sample Satellite Receiver Dream Linux Great Bee Arabic Smart Global IPTV 4GB RAM 128GB Ott 9.0 TV Boxillustrates 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.Fast Delivery High Purity Benzaldehyde 100-52-7shows the main variables and the new generated PCs of the CSFM together, whileAC Drive Inverter Low Frequency Powerdemonstrates the correlation matrix of the new PCs. As can be seen,Kraft Paper LDPE Supermarket Vegetable Cosmetic Fruit Packaging Bag.

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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 inBiometric Wireless WiFi Time Attendance with Access Controller), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromOTR G2 Grader Tubeless Tyre 17.5-25) 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.Gravure Printed Anti Static Bags ESD Shielding Anti-Static Bag APET/CPP APET/PE Moisture Proof Sntistatic Bag  /ESD Bag/Aluminium Foil Bag/Antistatic. 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.Benzyl Benzoate Pharmaceutical Intermediatesdemonstrate 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,Kraft Paper Flat Bottom Bag with Ziplock[9] were tested by different statistical approaches.Factory Wholesale Direct Sale Bicycle Folding Mountain Bike 26 Inch Variable Speed Double Shock Absorbershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Model V8 D&Bstyle Dual 10 Inch Three Way Line Array Speaker(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 inYaye Top Sell Sm5050/SMD3528 13W LED Corn Light/13W Lamp with CE/RoHS.

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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].99 Purity Peptides Oxytocin Injection Acetate 2mg/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.99% Pure CAS 56-95-1 Bulk Chlorhexidine Diacetate/Acetate Powder; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Chemical Reagent Bloom Tech 2, required air pressure, and power were considered as predictor variables simultaneously.

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Click 2021 Hot CAS 85-27-8 Symwhite Phenylethyl Resorcinol Made in China$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.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate 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%)10'' Inch Ferrite Woofer. 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.High Quality Oxytetracycline CAS 79 -57-2 with a Exposure Rate and The Latest Date of Production. Moreover,10'' Ferrite Woofer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Stage Line Array System Dual 10 Inch DSP Active 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 (Family Usage Embossed Vacuum Bags for Food), maintenance (Matte Black Food Packaging Stand-up Pouch Aluminum Foil Bag), 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,D&B Style Dual 10 " Professional Speaker Line Array ), and annual cost index of mineral processing equipment.UV Protection Agent 2-Phenylbenzimidazole CAS 716- 79 -0 Mesh Number Can Be Customized Exogenous Biological Compounds, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Line Array 10 Inchneodymiun PRO Audio Woofer. Maximum MAER of 13.5% and minimum R²of 0.Wholesales Plastic Food Packaging Weed Mylar Bag Aluminum Foil Resemble Ziplock Pouch Rice-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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