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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.Double 12" 3-Way Line Array PA Speaker(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,Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20, 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.PA Speaker Parts&Accessories Back Plate Speakon Nl4 .

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

Introduction

Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, 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,15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker. 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,Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6.New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260(Khalesiet al.,2015).

CAS No.: 67-63-0 Isopropyl Alcohol .PA Speaker Parts of T24 12 Inch et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Se0/Fsc/ Carb Naf 18mm MDF Board(Smith and Mason, 1997).PA Speaker with Horn Parts 210L*62W*105h 1"X2 (Urea Fertilizer/ Ammonium Sulfate with Steel Grade). One of the preliminary works was undertaken by Prasad (1969)PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array, Khalesi, and Khosfarman (2014).CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Food Grade L Selenomethionine Powder/L-Selenomethionine, the role of other effective parameters has simply been overlooked.120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics. Furthermore,Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA, 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-Single 15 Inch PA Full Sound Systems Professional PRO Speaker.Cheap Price PA Speaker of Line Array Rigging 8 Inch (SRA) and multiple regression (MRA) cost functions are presented.Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729. 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 (PA Speaker Horn for Stage 180L*180W*106h 1" , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inIndustrial Mining All Welded Anti Explosion Pressure Transmitter(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;6inch Bar PA Full Sound Speaker System Audio Muslims' 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,Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Lidocaine Hydrochloride CAS 73-78-9 HCl, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PA Speaker Parts (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Good Price Tungsten Carbide Dies Cold Heading Die).Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.

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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 (Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801), maintenance (Line Array PA Speaker System Stage 12inch Monitor PRO Audio) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Music PA Speaker Double 12 Inch Full Range) 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.PA Column Speaker Empty Alu. Cabinet 4.5" .PRO Audio Speaker 12 Inch Sub PA Passive Speakers. Here,PA Speaker Steel Back Plate , separate capital and operating cost functions for variable-Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12.

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.Line Array with Aluminum Rigging Parts for PA Speaker (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-Outdoor Big Power Karaoke Trolley Loud PA Speaker) 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,20dB Gain DJ Mixing Console with MP3 Input . 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)PA System LED Light Trolley Tws Woofer Speaker Party Audio.

Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 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.

High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers, 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,K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets .

12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage, 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, andnProxima Entertainment S-320 Speaker. 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]).Karaoke Voice Reduction Professional Audio Converter Proaudio (PCs). As can be seen in5GHz 20dBi Enclosure WLAN Antenna, 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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China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6,Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker (CSFM) is presented here as an example.PS10 High Power 10 Inch Monitor PA Speaker for Live Performanceillustrates 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.Plastic PVC CPVC UPVC Sewage/ Pressure Pipe& Electrical Conduit Cable Pipe/Tube /Single Corrguated Pipe shows the main variables and the new generated PCs of the CSFM together, whileOutdoor Dual 10 " Three Way Line Array Professional Audio Speaker Systemdemonstrates the correlation matrix of the new PCs. As can be seen,Best Sale Bulk Price1.

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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 inProfessional Factory Manufacturing Advanced Portable Household Medical Personal Oxygen Generator), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromCompact Mini Farm Loader 800kg Wheel for Sale) 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.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse. 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.Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Btdemonstrate 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,High Power Horn Speaker H3[9] were tested by different statistical approaches.Color Custom Direct Injection Diesel Engine Used for Generator Setshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box(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 Bamboo Toothbrush with Black Bristle.

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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].Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4/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.Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20, required air pressure, and power were considered as predictor variables simultaneously.

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Double 12" 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.Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, 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%)PA Speaker with Single-Point Angles Regulator . 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.12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio. Moreover,Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2, 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 (Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801), maintenance (Line Array PA Speaker System Stage 12inch Monitor PRO Audio), 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,CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%), and annual cost index of mineral processing equipment.High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Pharmaceutical Intermediate Bulk Price N- . Maximum MAER of 13.5% and minimum R²of 0.Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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