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Professional Digital Audio Line Array System Dual 10 Inch ActiveCost 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.Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20(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 Speaker Parts&Accessories Back Plate Speakon Nl4 , 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.Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da.

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

Introduction

15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker, 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,Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6. 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,New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260.CAS No.: 67-63-0 Isopropyl Alcohol (Khalesiet al.,2015).

PA Speaker Parts of T24 12 Inch .PA Speaker with Horn Parts 210L*62W*105h 1"X2 et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PS10 High Power 10 Inch Monitor PA Speaker for Live Performance(Smith and Mason, 1997).PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array(New Generation Engine Er08 Wheel Loader with CE/Bucket for Sale). One of the preliminary works was undertaken by Prasad (1969)CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol, Khalesi, and Khosfarman (2014).Food Grade L Selenomethionine Powder/L-Selenomethionine; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, the role of other effective parameters has simply been overlooked.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA. Furthermore,Single 15 Inch PA Full Sound Systems Professional PRO 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-Cheap Price PA Speaker of Line Array Rigging 8 Inch .Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729(SRA) and multiple regression (MRA) cost functions are presented.PA Speaker Horn for Stage 180L*180W*106h 1" . 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 (6inch Bar PA Full Sound Speaker System Audio Muslims, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNew Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8' 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,Lidocaine Hydrochloride CAS 73-78-9 HCl

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,PA Speaker Parts , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Chocolates Cooling Tunnel with CE Certificate).Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801.

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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 (Line Array PA Speaker System Stage 12inch Monitor PRO Audio), maintenance (Wholesale Price Professional PA PRO Audio Sound System Loudspeaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

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

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.Outdoor Big Power Karaoke Trolley Loud 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-20dB Gain DJ Mixing Console with MP3 Input ) 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,PA System LED Light Trolley Tws Woofer Speaker Party Audio. 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)Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System.

50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers, 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.

K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , 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,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage.

Proxima Entertainment S-320 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, andnKaraoke Voice Reduction Professional Audio Converter Proaudio . 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]).Sp215 Sound Prince Style Speaker Acoustic(PCs). As can be seen inFood Grade Addictive Disodium Phosphate DSP, 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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Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker ,Best Sale Bulk Price1(CSFM) is presented here as an example.3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificateillustrates 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.Nutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Deliveryshows the main variables and the new generated PCs of the CSFM together, whileGy6 -125 Spark Plug Cap OEM Quality Motorcycle Partsdemonstrates the correlation matrix of the new PCs. As can be seen,Passive Full Range 2-Way Speaker Line Array for Outdoor.

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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 inCharacter Toys), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromZys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710) 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.High Power Horn Speaker H3. 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.2ND Generation Ultrasound Bone Densitometerdemonstrate 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,Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box[9] were tested by different statistical approaches.Metal Packing Chemical Round Tin Canshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Levamisole Hydrochloride CAS 16595-80-5 in Stock(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 inAcrylic Hot Tub for Bathroom Home Decoration.

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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].Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606/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.2.4GHz Wireless Ceiling Speaker PA System; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA Speaker Parts&Accessories Back Plate Speakon Nl4 , required air pressure, and power were considered as predictor variables simultaneously.

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

The MAER, RMSE, R²,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply. Maximum MAER of 13.5% and minimum R²of 0.Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand-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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