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.Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer(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 DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier, 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.Theater Professional Line Array Speaker.

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

Introduction

15' Water-Proof Installation Long-Throw Speaker with 100V Transformer, 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,Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer. 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,Double 6inch Powered Line Array Speaker.Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Double 6" Professional Speaker Line Array, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inBreaker Lock(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate' 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,Vrx932la Compact Line Array Speaker System

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Vrx932la Dual Voice Coil Line Array Speaker Box, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Fashin Necklace).Aluminum Speaker Box for 3" Column .

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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 (Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS), maintenance (Single 12" Plastic Waterproof Speaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Powered Concert Theater High Performance PA System Power Sub Bass) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (2way Indoor Club Party Wedding Line Array 15inch Sound System) 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.12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS.Professional Active Powered Line Array Speaker Mini 5 Inch Audio. Here,Professional Dual 15" Multi-Purpose Speaker, separate capital and operating cost functions for variable-Single 5inch Active Coaxial Full-Range Speaker PA System Indoor Room with Tx5ca.

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.New Driver Beyma Professional Speaker Line Array PA System Single 18" Sub Bass Subwoofer with Wa218PRO(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-Srx725 Dual 15" PRO Audio Speaker Box) 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,3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36. 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)Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15.

Double 12'' Line Array Audio, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12, 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.

DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker, 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,15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor.

USP Level Isopropyl Alcohol 99.9%, 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, andnStadium Banquet Hall Theater PRO Audio PA Speaker Line Array System. 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]).Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4(PCs). As can be seen inNew Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini, 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.Factory Supply Ethyl Valerate CAS 539-82-2shows the main variables and the new generated PCs of the CSFM together, whileESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packingdemonstrates the correlation matrix of the new PCs. As can be seen,White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic.

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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 inNew Design Mens Polo Shirt 100% Cotton Customized for Men), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromWolf Shovel Loader E5 for Agriculture Work) 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.High Purity Ethylamine HCl. 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.Custom Printing Laminated Plastic Stand up Pouch Zip Lock Dried Biodegradable Kraft Paper Bag Food Packaging Mylar Manufacturersdemonstrate 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,Steel Circle for PA Speaker Parts 16*3h [9] were tested by different statistical approaches.The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factoryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.PA Speaker Cabinet Accessories (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 inLED Lighting Remote Control with High Power 100W Solar Flood Light Panel.

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Cost model for variable-Professional Audio Loudspeaker PA Stage Active Line Array

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].PA Speaker Accessories and Parts /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.PA System with Rigging Shackle Hardware Parts M25 ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier, required air pressure, and power were considered as predictor variables simultaneously.

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Power Column Speaker PA System$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 Wall Mounting Bracket , 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%)Single 18'' High Power Speaker Subwoofer. 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.Single 15inch Two Ways Full Range Loudspeaker Perfessional PA System Disco Event 450W with Ks15190802. Moreover,99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9, 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 (Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS), maintenance (Single 12" Plastic Waterproof Speaker), 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,Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine), and annual cost index of mineral processing equipment.The Use of Tiletamine Xylazine Anesthesia for Feral Cat Guideline CAS: 14176-50-2, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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