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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.Wall Amplifier Bluetooth Home Theater Amplifiers Mini with 6'' in Ceiling Speaker Audio Amplificador AMP Bgm Bacground Music Host Wireless Remote Control(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,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments, 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.PRO Audio with Tweeter Horn for Line Array .

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

Introduction

Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5, 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,Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder. 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,GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2.Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA Speaker(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered Subwoofer, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inV5.0 Fashion Mini Twins Wireless Bluetooth Earphone with Microphone(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Audio Kara Line Array' 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,Best Quality Safe Delivery 1

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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Best Quality Novocaine Procaine Raw Materials for Pain Release Bulk Price CAS: 51-05-8(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (China Factory Price Hsz Type 1.5ton 3 Metres Chain Hoist).Buy Prilocaine Hydrochloride Local Anesthetic Powder Factory Wholesales Price CAS: 1786-81-8.

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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 (Manufacturers Supply ), maintenance (High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Quality Lidocaine Hydrochloride / HCl CAS 73-78-9.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Steel Wall Bracket for Speaker with Quick Release Pin ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Manufacturers Supply Top Quality High Purity Procaine Powder with Best Price CAS: 51-05-8) 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.CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.99% Pure Powder Novocaine Procaine Factory Bulk Stock CAS: 51-05-8 Europe Free Sample. Here,Free Sample Local Anesthetic Novocaine Painkiller Cream Solution Procaine CAS: 51-05-8, separate capital and operating cost functions for variable-Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8.

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.Tetracaine HCl CAS136-47-0(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-Factory Wholesales Painkiller Solutions Free Sample Novocaine CAS: 51-05-8 Canada Procaine Promotion) 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,CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa. 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)Benzocaine CAS 94-09-7 Tetracaine HCl Lidocaine Sell 136-47-0.

Melamine Molding Powder for Making Tableware Dishware China, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20, 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.

8X4" Active Column PA Speaker, 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,Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl.

Professional Speaker with Hanging Hardware Parts Horizontal , 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, andnPA Power DJ Audio Speaker. 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]).PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker(PCs). As can be seen inL-Pyroglutamic Acid, 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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12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker,Double 12" 3-Way Line Array PA Speaker(CSFM) is presented here as an example.Windows Mini PC Pipo X10 PRO Z8350 Chipset Smart TV Box Android 5.1 4G RAM 64G ROMillustrates 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.Factory Price Fully Automatic Dustbin Injection Molding Machineshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Custom Stand up Pouch/Plastic Food Packaging Bag with Zipperdemonstrates the correlation matrix of the new PCs. As can be seen,Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20.

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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 inHobby Airplane), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromNickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar) 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.Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da. 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.Professional Speaker System Single 15 Inch High Power Line Array Aw15demonstrate 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,15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker[9] were tested by different statistical approaches.Pneumatic Frame Number Marking Machine Metal Cutting Plotter Plate Beam Codingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6(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 inAir Shipping Cost From China to Finland Sweden Norway Denmark Freight Forwarder Company.

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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].CAS No.: 67-63-0 Isopropyl Alcohol /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 Speaker Parts of T24 12 Inch ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments, required air pressure, and power were considered as predictor variables simultaneously.

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CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol$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.Food Grade L Selenomethionine Powder/L-Selenomethionine, 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%)120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics. 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.Powersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA. Moreover,Single 15 Inch PA Full Sound Systems Professional PRO Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Cheap Price PA Speaker of Line Array Rigging 8 Inch , 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 (Manufacturers Supply ), maintenance (High Quality Veterinary Grade USP Furaltadone HCl/ Hydrochloride), 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,Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729), and annual cost index of mineral processing equipment.PA Speaker Horn for Stage 180L*180W*106h 1" , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,6inch Bar PA Full Sound Speaker System Audio Muslims. Maximum MAER of 13.5% and minimum R²of 0.China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8-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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