GENERAL PAPERS

Double 6inch Powered Line Array SpeakerCost modelling for flotation machines

S. Arfania; A.R.Live/Installed Sound System PRO Speaker Box Fat Boy Bean Bag Cover for Sports; 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.Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA(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 Speaker with Laser Light , 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.XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker.

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

Introduction

Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights, 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,L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker. 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,100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4.High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price(Khalesiet al.,2015).

Free Sample Organic Chemicals 1.High Quality Phenaet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturer Reusable Ziplock PE Pet Food Stand up Packaging Pouch Bag Flat Bottom Mylar Recyclable Heat Sealed Coffee Bean Rice Dough Powder(Smith and Mason, 1997).Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4(Lat210A Srx700 Series PA Sound System Professional Speakers). One of the preliminary works was undertaken by Prasad (1969)18" Fane Style Aluminum Speaker Frame, Khalesi, and Khosfarman (2014).18" Die Cast P-Auido Style Aluminum Frame; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Professional Stage Active Line Array Speaker with DSP, the role of other effective parameters has simply been overlooked.Single 18" Subwoofer Speaker Box. Furthermore,Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse, 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-12" Professional Rcf Style Speaker Frame.Horn Professional Speaker H3(SRA) and multiple regression (MRA) cost functions are presented.Coaxial Loudspeaker TD12. 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 (18'' Subwoofer Speaker Box Ls1200, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLoudspeaker 10'' Midrange & Bass(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 12" Subwoofer Speaker Box' 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,15'' Coaxial 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,Customs Guaranteed 1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Factory Supply Ethylmagnesium Bromide CAS 925-90-6(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (FDA Approved Feminine Ob Maxi Pads Menstrual Pad Sanitary Use with Wings).Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker.

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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 (Manufacturer Supply Bdo Novel Intermediate 1), maintenance (Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (400 Watt Portable Music Player Speaker Professional Audio) 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.Dual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers.Dm 15 Inch PA Full Sound Systems Professional PRO Speaker. Here,12inch KTV Bar PA Full Sound Speaker System Audio, separate capital and operating cost functions for variable-Dare Dual 8" Neodymium Active Line Array Set PA System.

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.12" Die Cast Aluminum PA Speaker Frame(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-PA Speaker Dual 18" Subwoofer System) 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 with Line Array Tweeter Horn . 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)Active Mini Line Array Speaker with DSP Amplifier Module.

Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder, 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 Karaoke Loudspeaker with B&C Compression Driver, 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.

99% Tetracaine Hydrochloride/ HCl Powder CAS 136-47-0, 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,Factory Supply BMK Powder Glycidate CAS: 5413-05-8.

China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone, 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, andnChinese Manufacturer Bulk Stock Pmk Intermediates16648-44-5 BMK White Powder. 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]).99.9% High Purity Prilocaine Hydrochloride/Prilocaine HCl CAS 1786-81-8(PCs). As can be seen inPharmaceutical Raw Powder Diclofenac Sodium CAS 15307- 79 -6 for Anti-Inflammatory, 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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Factory Bulk Stock Pmk Intermediates BMK White Powder CAS: 16648-44-5,99% BMK White Powder Glycidate Bulk Sales CAS: 16648-44-5(CSFM) is presented here as an example.Carb Grade 18mm Commercial Plywoodillustrates 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 140s6655shows the main variables and the new generated PCs of the CSFM together, whilePE Dog Food Pouch with Holedemonstrates the correlation matrix of the new PCs. As can be seen,99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs.

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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 inDisposable and printed baby diaper not woven), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Wholesale Foshan Chinese Real Leather Living Room Sofa Modern Furniture ) 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.Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate. 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.Quilted Fabric Sofa Couch Bed Set Armchear Furnituredemonstrate 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,Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder[9] were tested by different statistical approaches.Hot Sale Professional Loudspeaker PRO Audio shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5(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 inWelded eyeglass for stainless steel food processing.

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Cost model for variable-Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker

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].BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6/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.Portable 15inch PA Speaker F15+; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Speaker with Laser Light , required air pressure, and power were considered as predictor variables simultaneously.

Pharmaceutical Chemical CAS 236117-38-7. Moreover, the operating cost was detailed in different cost items.Speaker 12 Inch SA-212 Professional Sound Box Portable Passive, indicated inSwimming SPA Pool Hot Tub Combo, and major extrapolation should be avoided.

Speaker Tcx- 10$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 Woofer Speaker T- 10 12 15, 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%)Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale. 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.Dual 10inch Professional PRO Audio Speaker System. Moreover,10 " PRO Audio DJ Line Array Speaker Equipment System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder, 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 (Manufacturer Supply Bdo Novel Intermediate 1), maintenance (Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro), 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,Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5), and annual cost index of mineral processing equipment.10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker. Maximum MAER of 13.5% and minimum R²of 0.Professional Powered Line Array Selfpowered Speakers Active System-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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