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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.Speaker PS10(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,30W PA Active Computer 5.1 System Inexpensive Speaker, 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.Steel Speaker Cabinet Top Hat with M20 Thread Inside .

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

Introduction

Big Subwoofer Line Array Speaker , 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,Ts218 Dual 18" Speakers Subwoofer Speaker Box. 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,Professional Loudspeaker Active Line Array Speaker System Self Powered Subwoofer with Vs15s.Two-Way Full Range 1000W Professional Power Speaker(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx1220, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDust Collector Cages Surface Grinding Machine(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;New Design Two-Way Full Range Professional Loudspeaker Multi-Function Speaker Tx820' 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 Horn of Professional Audio 170L*160W*140h 1"

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Single 18'' Low Frequency Sub-Bass, 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 18 Inch Active Subwoofer DSP Function with Wa118SA(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Top Class Manufacturer in China Produce High Quality Nut).Outdoor PRO Audio Loudspeaker.

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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 (Doule 8'' Mini Line Arry Loudspeaker), maintenance (Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Vera12 New Design 800watts 12" Audio System Line Array.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Single 15 Inch High Quality Bass) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Professional Audio Speaker Column Sound Equipment) 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.Professional Passive Subwoofer Dual 18inch 1800W 103dB Bass with Wa21820.Srx715 Sing 15" Professional Speaker. Here,Aclon DSP3500 Professional DJ Sound Speakers DSP Powered Line Array, separate capital and operating cost functions for variable-Small Column White Color Church Conference Room 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.Arc Shaped Column Speaker for Restaurant and Shopping Mall(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-Peq-18SD1 18'' Bass Reflex Active Powerful Subwoofer) 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,Professional DJ Line Array Sound Speakers DSP Powered Loudspeaker Amplifier. 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)Theater Professional Line Array Speaker.

15' Water-Proof Installation Long-Throw Speaker with 100V Transformer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Guangzhou Skytone Vera S18 18'' New Design Line Array Subwoofer, 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.

Double 6inch Powered Line Array 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,Factory Export 99% Purity Chlorhexidine CAS55-56-1 with Lowest Price.

Free Clearance Surface Anesthesia of Eyes, 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, andnFree Clearance USP40 Tetracaine Base Skin Surface Anesthesia Pain Reliever Cream CAS: 94-24-6. 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]).High Purity 9-Hydroxyfluorene CAS 1689-64-1 with Good Price in Stock(PCs). As can be seen in15mm AAA Grade Film Faced Plywood with WBP Glue, 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.Professional 24 Channels Digital Audio Mixer Consoleshows the main variables and the new generated PCs of the CSFM together, whileWhite Birch Veneer in 0.28mm/Jackydemonstrates the correlation matrix of the new PCs. As can be seen,Srx715 Single 15" Speaker Cabinet PRO Audio System.

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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 inCalcium Chloride), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromReplica Aluminum Alloy Wheels for Volkswagen VW Tiguan Atlas Touareg) 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 Loudspeaker Column Speaker Line Array with L7. 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.VFD Ultra-Low-Noise Delixi 55kw 720va Variable Frequence Inverterdemonstrate 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,Single 15" Plastic Powered Speaker[9] were tested by different statistical approaches.Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse(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 inUsed Concrete Block Making Machine/Automatic Machine for Sale.

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Cost model for variable-Double 6" Professional Speaker 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].CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate/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.Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,30W PA Active Computer 5.1 System Inexpensive Speaker, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5$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.Vrx932la Compact Line Array Speaker System, 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%)Vrx932la Dual Voice Coil Line Array Speaker Box. 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.Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112. Moreover,Aluminum Speaker Box for 3" Column , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS, 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 (Doule 8'' Mini Line Arry Loudspeaker), maintenance (Waterproof Loudspeaker Wall Mounter 15inch Mq-15cp), 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,Single 12" Plastic Waterproof Speaker), and annual cost index of mineral processing equipment.800W VERA 12 Line Array DJ Speaker Cabinet PRO Audio, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Powered Concert Theater High Performance PA System Power Sub Bass. Maximum MAER of 13.5% and minimum R²of 0.2way Indoor Club Party Wedding Line Array 15inch Sound System-feasibility and even feasibility study level of projects.

References

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.USP Level Isopropyl Alcohol 99.9%.Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System.15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor, Montreal. 319 pp.         [Hot Smart Electric Scooter 60V800W Power Motor with USB]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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