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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.Factory Supply Top Quality Cooling Agent Ws-3 CAS 39711- 79 -0(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 Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2, 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 Audio Speaker Single 8 Inch 200W Mini Stage Monitor PS8r2.

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

Introduction

Professional Speaker System Single 15 Inch High Power Line Array Aw15, 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,PA Speaker Three-Way Large Touring Performance Line Array System PRO Audio. 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,Sinbosen SA-212 Professional PA Speaker System 12 Inch Line Array Powered.Hench Hot Sales Raw Material Powder Oxytetracycline(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Safe Shipping with Good Price Tretinoin Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in400 Watt Portable Music Player Speaker Professional Audio(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dpc Diphenyl Carbonate CAS 102-09-0' names:

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►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,CAS 79 -57-2 Oxytetracycline, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Azd3759 CAS No. 1626387-81-2(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Colorful Stainless Steel Coffee Cup Sealed Insulated Tumbler Mug with Handle).Food Additives L-Arginine with Top Quality.

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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 Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3), maintenance (99% Purity 1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,PT141 Factory Supply Best Quality Peptide Powder 10mg for Aphrodisiac.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High-Purity Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol China Factory Direct Sales) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2-Aminoanthraquinone CAS No 117- 79 -3) 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.High Quality Tretinoin 302- 79 -4 with Good Price.3-Amino-4-Pyrazolecarboxamide Hemisulfate Salt CAS No 27511- 79 -1. Here,Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery Manufacture in China, separate capital and operating cost functions for variable-High Fidelity Professional Line Array Speaker .

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.N(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-Vitamin a Palmitate CAS 79 -81-2) 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,IP PA System 6 Inch 15W SIP Poe Ceiling Speaker with Built-in Monitoring Microphone and Dry Contact in out. 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)Best Price Diclofenac Sodium with High Quality.

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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.

New Arrival Mr Series Audio Mixer with DSP Mr-12fx, 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,Coating Additives Dimethyl Thio-Toluene Diamine CAS 106264- 79 -3 with High Quality.

Powered Speaker System for Home Theater, 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, andnCosmetic Grade L-Arginine with High Quality. 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]).320000 Iu CAS127-47-9 Retinyl Vitamin a Acetate/Retinol Acetate(PCs). As can be seen in10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power, 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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Best Quality Skin Care Pure Tretinoin 302- 79 -4,Factory Direct Sale Dimethyl Gonane 702- 79 -4(CSFM) is presented here as an example.10 " PRO Sound PA Line Array Loudspeaker Audio Speaker Systemillustrates 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.RF Skin Tightening Face Lifting Machineshows the main variables and the new generated PCs of the CSFM together, whileFactory Offer Nordic Removable and Washable Livingroom Fabric Sofademonstrates the correlation matrix of the new PCs. As can be seen,Phthalaldehyde CAS 643- 79 -8.

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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 inSpc Floor Click 4mm Thick Waterproof Plastic Vinyl Flooring), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from1L Tin Can for Oil) 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.CAS 79 -14-1 Glycolic Acid 70%. 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.Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shippingdemonstrate 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,Compact Neodymium Line Array 12inch 400W Passive Speaker PA System[9] were tested by different statistical approaches.Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Controlshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Professional 10 " Aluminum Speaker Basket(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 inNew Style HDMI Cable Support 1.4V/2.0V with Ethernet Audio.

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Cost model for variable-New Arrival Mr Series Audio Mixer with DSP Mr-10fx

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].Factory Price Powder Mannitol with High Quality/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.Outdoor Line Array PA System Loudspeaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Audio Speaker Active Single 8 Inch Mini Stage Monitor PS8r2, required air pressure, and power were considered as predictor variables simultaneously.

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15inch Professional Stereo Sound PA PRO Audio DJ Loud Speaker$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.Professional Line Array PA System S1210 Sound, 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%)Cosmetic Material 99% Purity Tretinoin Powder. 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.High Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !. Moreover,Spts, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Power DJ Sound Equipment System Line Array PA Speaker, 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 Reagent Bloom Tech Sodium 4-Methylbenzenesulfinate CAS 824- 79 -3), maintenance (99% Purity 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,2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array), and annual cost index of mineral processing equipment.Best Price Medicine Grade Lanosterol Powder, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array. Maximum MAER of 13.5% and minimum R²of 0.PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address-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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