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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.Melamine Molding Powder for Making Tableware Dishware China(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,Professional Self-Powered Active Bass Speaker 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 0.8X4" Active Column PA Speaker.

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

Introduction

Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl, 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 with Hanging Hardware Parts Horizontal . 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,PA Power DJ Audio Speaker.PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker(Khalesiet al.,2015).

Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7.12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for V8/Vsub Dual 10 " Compact Indoor/Outdoor Stage Line Array Speaker(Smith and Mason, 1997).Double 12" 3-Way Line Array PA Speaker(Super Power LED Lighting 100W Flicker Free Ceiling Lamp). One of the preliminary works was undertaken by Prasad (1969)Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20, Khalesi, and Khosfarman (2014).PA Speaker Parts&Accessories Back Plate Speakon Nl4 ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, the role of other effective parameters has simply been overlooked.15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker. Furthermore,Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6, 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-New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260.CAS No.: 67-63-0 Isopropyl Alcohol (SRA) and multiple regression (MRA) cost functions are presented.PA Speaker Parts of T24 12 Inch . 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 with Horn Parts 210L*62W*105h 1"X2 , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PA Speaker Dual 12 Inch 3-Way PRO Audio 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,Single 15 Inch PA Full Sound Systems Professional PRO Speaker

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Cheap Price PA Speaker of Line Array Rigging 8 Inch , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot Sale Amusement Equipment Cocoa House for Children Playground).PA Speaker Horn for Stage 180L*180W*106h 1" .

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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 (6inch Bar PA Full Sound Speaker System Audio Muslims), maintenance (China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Aluminium Back Plate for PA Speaker ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Full Range Portable Multi-Fuction Speaker Box ) 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.Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance.Lidocaine Hydrochloride CAS 73-78-9 HCl. Here,PA Speaker Parts , separate capital and operating cost functions for variable-Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.

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.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(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-Line Array PA Speaker System Stage 12inch Monitor PRO Audio) 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,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker. 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)Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731.

Music PA Speaker Double 12 Inch Full Range, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA Column Speaker Empty Alu. Cabinet 4.5" , 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.

PRO Audio Speaker 12 Inch Sub PA Passive 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,PA Speaker Steel Back Plate .

Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12, 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, andnLine Array with Aluminum Rigging Parts for PA 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]).Outdoor Big Power Karaoke Trolley Loud PA Speaker(PCs). As can be seen inProfessional Digital Audio Line Array System Dual 10 Inch Active, 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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PA System LED Light Trolley Tws Woofer Speaker Party Audio,Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System(CSFM) is presented here as an example.New Generation Engine Er08 Wheel Loader with CE/Bucket for Saleillustrates 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.New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novishows the main variables and the new generated PCs of the CSFM together, whileFactory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Pricedemonstrates the correlation matrix of the new PCs. As can be seen,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics.

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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 in3D Wheel Aligner H8/Tire Changer/Garage Equipment/Automotive Equipment/Wheel Balancer/Auto Maintenance/Wheel Alignment Machine Price/3D), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate) 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.K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets . 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.Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Partsdemonstrate 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,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage[9] were tested by different statistical approaches.1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Driveshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Proxima Entertainment S-320 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 inSMD 14 Segment LED Display Alphanumeric.

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Cost model for variable-Karaoke Voice Reduction Professional Audio Converter Proaudio

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].Sp215 Sound Prince Style Speaker Acoustic/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.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, required air pressure, and power were considered as predictor variables simultaneously.

Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker . Moreover, the operating cost was detailed in different cost items.Best Sale Bulk Price1, indicated inHot Selling A5X Max Rk3328 4GB 32GB Android TV Box 4K Full HD Quad Core Smart for Internet Set Top, and major extrapolation should be avoided.

Passive Full Range 2-Way Speaker Line Array for Outdoor$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.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse, 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 Power Horn Speaker H3. 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.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box. Moreover,Levamisole Hydrochloride CAS 16595-80-5 in Stock, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, 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 (6inch Bar PA Full Sound Speaker System Audio Muslims), maintenance (China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8), 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,Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606), and annual cost index of mineral processing equipment.2.4GHz Wireless Ceiling Speaker PA System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,OEM ODM Public DJ PA Wooden Speaker. Maximum MAER of 13.5% and minimum R²of 0.Double 12" Line Array Speaker-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Analgesic Anti-Inflammatory Powder Indometacin Anti-Rheumatism CAS: 53-86-1CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ IpaCorresponding author