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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.Music PA Speaker Double 12 Inch Full Range(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,PA Column Speaker Empty Alu. Cabinet 4.5" , 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.PRO Audio Speaker 12 Inch Sub PA Passive Speakers.

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

Introduction

PA Speaker Steel Back Plate , 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,Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12. 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,Line Array with Aluminum Rigging Parts for PA Speaker .Outdoor Big Power Karaoke Trolley Loud PA Speaker(Khalesiet al.,2015).

20dB Gain DJ Mixing Console with MP3 Input .PA System LED Light Trolley Tws Woofer Speaker Party Audioet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Electrical Pipe Tube Cold Working Processing Machine(Smith and Mason, 1997).Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System(5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can). One of the preliminary works was undertaken by Prasad (1969)50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, Khalesi, and Khosfarman (2014).High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , the role of other effective parameters has simply been overlooked.12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage. Furthermore,Proxima Entertainment S-320 Speaker, 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-Karaoke Voice Reduction Professional Audio Converter Proaudio .Sp215 Sound Prince Style Speaker Acoustic(SRA) and multiple regression (MRA) cost functions are presented.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6. 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 (Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWin10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receiver(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Best Sale Bulk Price1' 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,Levamisole Hydrochloride CAS 16595-80-5 in Stock

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Transparency Customized Glass Screen).2.4GHz Wireless Ceiling Speaker PA System.

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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 (OEM ODM Public DJ PA Wooden Speaker), maintenance (Double 12" Line Array Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (PA Speaker with Single-Point Angles Regulator ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio) 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.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth.Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2. Here,CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%, separate capital and operating cost functions for variable-High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price.

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.Pharmaceutical Intermediate Bulk Price N- (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-Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply) 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,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand. 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)Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl.

Speaker System High Power H3, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical, 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.

Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4, 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,500W Powered Speaker Professional Sound Line Array System .

Proxima Entertainment Z-450 Digtal Speaker, 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, andnProfessional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500. 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]).Lat210A Srx700 Series PA Sound System Professional Speakers(PCs). As can be seen inL10/83267-Professional Audio 10 Inch Coaxial Speaker, 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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Q1--Dual10 Inch Line Array Speaker,12inches PA Speaker Audio Component(CSFM) is presented here as an example.China Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149illustrates 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.Speaker PS10shows the main variables and the new generated PCs of the CSFM together, whileFast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stockdemonstrates the correlation matrix of the new PCs. As can be seen,Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth.

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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 in1000L 2000L 3000L Milk Chilling Cooling Storage Vat for Dairy Industry), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFactory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6) 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.Power Amplifiers PA Speaker System Amplifier 1000 Watt. 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.Factory Supply Tretinoin / Retinoic Acid Vitamin a CAS 302- 79 -4demonstrate 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,Wholesales Organic Intermediate 1[9] were tested by different statistical approaches.Adult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell(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 inWholesale Lock Rope Retractable Cross Badge Reel Yoyo Travel.

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Cost model for variable-Live/Installed Sound System PRO Speaker Box

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].Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA/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.Professional Speaker with Laser Light ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA Column Speaker Empty Alu. Cabinet 4.5" , required air pressure, and power were considered as predictor variables simultaneously.

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L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array 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% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4, 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%)High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price. 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.Free Sample Organic Chemicals 1. Moreover,High Quality Phena, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4, 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 (OEM ODM Public DJ PA Wooden Speaker), maintenance (Double 12" Line Array Speaker), 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,18" Fane Style Aluminum Speaker Frame), and annual cost index of mineral processing equipment.18" Die Cast P-Auido Style Aluminum Frame, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Professional Stage Active Line Array Speaker with DSP. Maximum MAER of 13.5% and minimum R²of 0.Single 18" Subwoofer Speaker Box-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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