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.62442 Shiny and Non Phena Powder 62 44 2(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,Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate, 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.Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder.

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

Introduction

100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5, 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,Trolley Large Audio Loudspeaker Box Professional Stage Active PA 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,BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6.Portable 15inch PA Speaker F15+(Khalesiet al.,2015).

Pharmaceutical Chemical CAS 236117-38-7.Speaker 12 Inch SA-212 Professional Sound Box Portable Passiveet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wolf 0.8t Mini Loader with Grass Fork(Smith and Mason, 1997).Speaker Tcx- 10(Wholesale Cmyk Printing 0.5 Liter Chemical Tin Cans). One of the preliminary works was undertaken by Prasad (1969)PA Woofer Speaker T- 10 12 15, Khalesi, and Khosfarman (2014).Passive Double 10 Inch Proal Audios Sound System Line Array Speakers for Direct Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Dual 10inch Professional PRO Audio Speaker System, the role of other effective parameters has simply been overlooked.10 " PRO Audio DJ Line Array Speaker Equipment System. Furthermore,Wholesale Factory Price CAS: 16648-44-5 BMK Glycidate Powder, 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-Buy Real Pharmaceutical Intermediates BMK Glycidate Powder 16648-44-5.10 " PRO Sound PA Line Array Loudspeaker Audio Speaker System(SRA) and multiple regression (MRA) cost functions are presented.Big Outdoor Sound Equipment Active Dual 8" Line Array Speaker. 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 (Professional Powered Line Array Selfpowered Speakers Active System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;MBN1503 PA Woofer ' 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,Line Array with Accessories for PRO Audio

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Kara Line Array Speakers Double 8 Inch Concert(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Private Label 7PCS Cosmetic Makeup Brushes Set).Top Quality Isopropyl Alcohol .

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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 (Disco Sound+ PA System Speaker), maintenance (99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Chloramphenicol CAS 56-75-7 China Factory Supplier.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Quality 99% CAS 16595-80-5 Levamisole Hydrochloride) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (N- ) 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.Kara Double 8 Inch Liner Speaker System Professional Audio Equipment.Raw Material Anti Epilepsy Topiramate Powder with Best Price. Here,Dual 12 Inch Powered Line Array Active Sound System W-210bp, separate capital and operating cost functions for variable-High Quality CAS 16595-80-5 Levamisole Hydrochloride/ HCl.

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.Levamisole Hydrochloride/ HCl Powder CAS 16595-80-5(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-Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sample) 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,Kas DJ Speaker Dual Line Array 18 Inch Subwoofer. 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)Mini Speaker Line Array Wedding Decoraions DJ Mixer.

8 Ohm PRO Audio DJ Mixer Live Sound System, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Stage Line Array System Dual 15'' Self-Powered Speaker, 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 Purity Valerophenone 1-Phenylpentan-1-One CAS 1009-14-9, 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,Topiramate.

99% High Purity Bupivacaine Anesthetic Powder Factory Price CAS: 14252-80-3, 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, andnPain Killer 99% Purity Bupivacaine Hydrochloride/Bupivacaine HCl CAS 14252-80-3. 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]).Levamisole HCl / Hydrochloride Anthelmintic Agent Raw CAS 16595-80-5(PCs). As can be seen inPharmaceutical High Purity Peptides Powder CAS No. 113- 79 -1 Argipressin Acetate, 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.800W Fashion Power Motorcycle Cheap Electricshows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio Speaker Dual 10 Inch 3 Way Line Array Systemdemonstrates the correlation matrix of the new PCs. As can be seen,China Manufacturer Supply High Purity Food Grade Lactic Acid CAS 50-21-5.

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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 in250ml Wholesale Perfumes Female Long-Lasting Cherry Blossom Deodorant Perfume Body Spray), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromBAW Made of Electric Car with Lithium Battery) 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.Line Array of Parts for PRO Audio 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.Vrx932 Horn Line Array Professional Manufacturerdemonstrate 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,Effects Night Club Bluetooth Powered Speaker Pofessional PA Line Array[9] were tested by different statistical approaches.Wireless Headphone Tws Bluetooth Earphone for Phoneshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Reliability DSP Active Professional Line Array Speaker (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 inZinc Alloy Die Casting Hollow out Medal with Copper Plating.

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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].Professional Audio Line Array Speaker Neodymium Crossover System/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.Line Array System with Parts for PRO Audio Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Line-Array Speaker Three-Way Tri-AMP 75W 200W 600W 16omega Large-Scale System with Vt310190816$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.Tp01 Piezo Electric Dome Tweeter, 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%)Line Array of Parts for PRO Audio Speaker . 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.Line Array with Accessories for PRO Audio . Moreover,Single 15 Inch 2-Way Neodymium Bi-Amplie Line Array Stadium Loudspeaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Bulk Supply Veterinary Tranquilizer Tiletamine Xylazine Powder 14176-50-2, 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 (Disco Sound+ PA System Speaker), maintenance (99% G-Butyrolactones Aminobutyric Acid Organic Solvents 1litre Fast Delivery), 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,Tg01 1 Inch Silk Dome Tweeter), and annual cost index of mineral processing equipment.Professional Speaker Compective PRO Audio , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Double 12inch Active Coaxial 29kg Line Array Speaker System. Maximum MAER of 13.5% and minimum R²of 0.Free Shipping 99% Tranquilizer Powder Tiletamine HCl 14176-50-2 NMDA Receptor-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

1L Beer CanPlastic Purple Color MasterbatchCorresponding author