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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.CAS No.: 67-63-0 Isopropyl Alcohol (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 of T24 12 Inch , 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 with Horn Parts 210L*62W*105h 1"X2 .

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

Introduction

PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array, 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,CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol. 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,Food Grade L Selenomethionine Powder/L-Selenomethionine.120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(Khalesiet al.,2015).

Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA.Single 15 Inch PA Full Sound Systems Professional PRO Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Excellent Motorcycle Cylinder for Gy6 -100 (Smith and Mason, 1997).Cheap Price PA Speaker of Line Array Rigging 8 Inch (Food Grade Addictive Disodium Phosphate DSP). One of the preliminary works was undertaken by Prasad (1969)Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729, Khalesi, and Khosfarman (2014).PA Speaker Horn for Stage 180L*180W*106h 1" ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,6inch Bar PA Full Sound Speaker System Audio Muslims, the role of other effective parameters has simply been overlooked.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8. Furthermore,99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8, 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-Aluminium Back Plate for PA Speaker .Full Range Portable Multi-Fuction Speaker Box (SRA) and multiple regression (MRA) cost functions are presented.Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance. 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 (Lidocaine Hydrochloride CAS 73-78-9 HCl, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inManufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PA Speaker Parts ' 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,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Music PA Speaker Double 12 Inch Full Range, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),PA Column Speaker Empty Alu. Cabinet 4.5" (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (CNC Veneer Cutting Machine/ Cutter / Cliper).PRO Audio Speaker 12 Inch Sub PA Passive Speakers.

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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 (PA Speaker Steel Back Plate ), maintenance (Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Line Array with Aluminum Rigging Parts for PA Speaker .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Outdoor Big Power Karaoke Trolley Loud PA Speaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (20dB Gain DJ Mixing Console with MP3 Input ) 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 System LED Light Trolley Tws Woofer Speaker Party Audio.Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System. Here,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, separate capital and operating cost functions for variable-High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers.

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.K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets (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-12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage) 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,Proxima Entertainment S-320 Speaker. 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)Karaoke Voice Reduction Professional Audio Converter Proaudio .

Sp215 Sound Prince Style Speaker Acoustic, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6, 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.

Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker , 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,Best Sale Bulk Price1.

Passive Full Range 2-Way Speaker Line Array for Outdoor, 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, andnFree Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse. 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]).High Power Horn Speaker H3(PCs). As can be seen inNutrition Enhancer Hot Selling High Quality N-Glycyl-L-Tyrosine Powder CAS 658- 79 -7 White with Reasonable Price and Fast Delivery, 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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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.Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machineshows the main variables and the new generated PCs of the CSFM together, whileZys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710demonstrates the correlation matrix of the new PCs. As can be seen,Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606.

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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 inSKYACIDO® Acid Red 336 200% Dye for Wool Dyeing&Nylon Dyeing), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromMetal Packing Chemical Round Tin Can) 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.OEM ODM Public DJ PA Wooden Speaker. 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.Tetracaine HCl CAS136-47-0demonstrate 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,Double 12" Line Array Speaker[9] were tested by different statistical approaches.Professional Audio PA Subwoofer Component Speakers Bocinasshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01(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 inCheapest Price Disposable Smart Baby Diapers Manufacturer from China.

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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].12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio/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.Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,PA Speaker Parts of T24 12 Inch , required air pressure, and power were considered as predictor variables simultaneously.

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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.Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand. Moreover,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Speaker System High Power H3, 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 (PA Speaker Steel Back Plate ), maintenance (Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12), 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 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical), and annual cost index of mineral processing equipment.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,500W Powered Speaker Professional Sound Line Array System . Maximum MAER of 13.5% and minimum R²of 0.Proxima Entertainment Z-450 Digtal Speaker-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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