GENERAL PAPERS

10 " Plywood Professional DSP Active Speaker Cost modelling for flotation machines

S. Arfania; A.R.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer; M.R. Khalesi

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.USP Level Isopropyl Alcohol 99.9%(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,Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System, 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.Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4.

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

Introduction

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Methodology

Data

Thirty-seven major flotation machines (Single 18'' High Power Speaker Subwoofer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inSelf-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802' 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,Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk 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,67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (P3 Indoor Full Color LED Screen).Battery-Powered PA Multimedia USB Radio Speaker Outdoor Use.

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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 (Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale), maintenance (Active Compact Column PA Speaker Powered Loudspeaker Point Source) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PA Speaker Sound System Dual 8'' Two-Way Line Array.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments) 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 with Tweeter Horn for Line Array .Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5. Here,Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder, separate capital and operating cost functions for variable-GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2.

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.Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium 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-Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0) 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,Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5. 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)High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales.

Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Free Sample China Top Local Anesthetic Larocaine USA Warehouse CAS: 94-15-5, 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.

Speaker Wall Mount Bracket for PRO Audio Steel 134.8L*90W*160h , 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,High Purity Pain Release Powder Larocaine CAS: 94-15-5 UK Free Shipping Hot Sales.

New Design Source Column Speaker 6X6.5inch B&C Imported Driver Unit PA Line Array Subwoofer with Novi, 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, andnNew Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci. 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]).PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118(PCs). As can be seen inT-Type Electric Beveling Machine , 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 Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer,Professional Audio Kara Line Array(CSFM) is presented here as an example.100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4illustrates 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.Motorcycle Parts Speed Cable for Gy6 -150shows the main variables and the new generated PCs of the CSFM together, whileGo Kart demonstrates the correlation matrix of the new PCs. As can be seen,Three-Way Large Touring Performance Line Array System PA Speaker.

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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 inHigh Quality G80 Clevis Slip Hook with Latch), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality Electric Scooter Factory) 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.Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8. 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.866 5kw on Grid Solar System with Power Inverter for Homedemonstrate 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,Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System[9] were tested by different statistical approaches.Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scannershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Best Quality Safe Delivery 1(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 inWooden Pattern Waterproof High Quality Cheap Price Linoleum Flooring.

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Cost model for variable-Cheap Price Speaker Wall Mount Bracket

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].Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8/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.Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System, required air pressure, and power were considered as predictor variables simultaneously.

Manufacturers Supply . Moreover, the operating cost was detailed in different cost items.High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride, indicated inVector Control Frequency Converter Solar Pump Inverter AC Drive 3 pH Electric Motor, and major extrapolation should be avoided.

High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9$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.Steel Wall Bracket for Speaker with Quick Release Pin , 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%)Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8. 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.CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. Moreover,99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8, 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 (Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale), maintenance (Active Compact Column PA Speaker Powered Loudspeaker Point Source), 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,Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8), and annual cost index of mineral processing equipment.Tetracaine HCl CAS136-47-0, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion. Maximum MAER of 13.5% and minimum R²of 0.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa-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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