GENERAL PAPERS

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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.Live/Installed Sound System PRO Speaker Box (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,Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA, 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 with Laser Light .

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

Introduction

XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker, 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 Multifunction Active Stage Speaker Wood Bt with Laser Lights. 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,L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker.100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4(Khalesiet al.,2015).

High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price.Free Sample Organic Chemicals 1et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Mini Size Water Differential Pressure Sensor for HVAC(Smith and Mason, 1997).High Quality Phena(Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606). One of the preliminary works was undertaken by Prasad (1969)Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4, Khalesi, and Khosfarman (2014).18" Fane Style Aluminum Speaker Frame; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,18" Die Cast P-Auido Style Aluminum Frame, the role of other effective parameters has simply been overlooked.Professional Stage Active Line Array Speaker with DSP. Furthermore,Single 18" Subwoofer Speaker Box, 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-Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse.12" Professional Rcf Style Speaker Frame(SRA) and multiple regression (MRA) cost functions are presented.Horn Professional Speaker H3. 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 (Coaxial Loudspeaker TD12, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in5GHz 29.5dBi Die Cast Grid Antenna(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;18'' Subwoofer Speaker Box Ls1200' 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,Df B&C Trees Speaker Subwoofer Audio Professional

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,15'' Coaxial Speaker , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Customs Guaranteed 1(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Car Emblem Alphabet Back 3mm Glue Plastic Badge).China Factory Supply Ethylmagnesium Bromide CAS 925-90-6.

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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 (Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker), maintenance (Manufacturer Supply Bdo Novel Intermediate 1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole) 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.400 Watt Portable Music Player Speaker Professional Audio.Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers. Here,Dm 15 Inch PA Full Sound Systems Professional PRO Speaker, separate capital and operating cost functions for variable-12inch KTV Bar PA Full Sound Speaker System Audio.

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.Dare Dual 8" Neodymium Active Line Array Set PA System(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" Die Cast Aluminum PA Speaker Frame) 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 Speaker Dual 18" Subwoofer System. 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 Speaker with Line Array Tweeter Horn .

Active Mini Line Array Speaker with DSP Amplifier Module, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder, 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 Karaoke Loudspeaker with B&C Compression Driver, 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,99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0.

Factory Supply BMK Powder Glycidate CAS: 5413-05-8, 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, andnChina Factory Supply CAS 99-93-4 4-Hydroxyacetophenone. 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]).Chinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder(PCs). As can be seen inElectric Motorcycle , 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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High Quality 4'-Hydroxyacetophenone CAS 99-93-4 4-Hydroxyacetophenone with Best Price,Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5(CSFM) is presented here as an example.E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25illustrates 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.Diesel Engine Parts Fuel Injection Nozzle Dlla153p049shows the main variables and the new generated PCs of the CSFM together, whileRofessional 21 Speed Mountain Bicycle 26 Inch New MTBdemonstrates the correlation matrix of the new PCs. As can be seen,99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5.

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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 inFashion Accessories Custom Metal Badge Reel), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Quality 5dBi 4G Lte Antenna for Huawei B593 B880 B310 B2000 Router External SMA-Male Connector) 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 0.62442 Shiny and Non Phena Powder 62 44 2. 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.Pharmaceutical 1% 98% Huperzine a Powder Novel Antidepressants CAS: 120786-18-7 USA Sample Freedemonstrate 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,Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate[9] were tested by different statistical approaches.Hot Sells Solar Power System for Home 3kwh with Both AC&DC Outputshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder(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 in99% Online High Quality Assurance Follistatin 344.

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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].Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker/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.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA, required air pressure, and power were considered as predictor variables simultaneously.

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Speaker 12 Inch SA-212 Professional Sound Box Portable Passive$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.Speaker Tcx- 10, 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 Woofer Speaker T- 10 12 15. 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.Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale. Moreover,Dual 10inch Professional PRO Audio Speaker System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (10 " PRO Audio DJ Line Array Speaker Equipment System, 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 (Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker), maintenance (Manufacturer Supply Bdo Novel Intermediate 1), 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,Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder), and annual cost index of mineral processing equipment.Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System. Maximum MAER of 13.5% and minimum R²of 0.Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Professional Line Array Speaker Neodymium Af15OEM 6kw Home Grid Tied Solar Power System Without BatteryCorresponding author