GENERAL PAPERS

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S. Arfania; A.R.Home Theater PA PRO Audio SpeakerFood Grade Vitamin a Palmitate Powder CAS 79 -81-2; M.R. Khalesi

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.PA Speaker Dual 8 Inch PRO Audio Professional Line Array 18inch Passive/Active Powered 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 Audio Kara Line Array, 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.Three-Way Large Touring Performance Line Array System PA Speaker.

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

Introduction

Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3, 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,Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8. 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,Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System.Best Quality Safe Delivery 1(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Pain Release Best Oral Capsules Procaine Pure Raw Materials Novocaine CAS: 51-05-8, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNickel Based Alloy W. Nr 2.4819 Hastelloy C276 Uns N10276 High Temperature Steel Round Flat Bar(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Tetracaine HCl CAS136-47-0' 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,8X4" Active Column PA Speaker, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Chinese Lidocaine Hydrochloride CAS 73-78-9 HCl(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Eads Tph700 Two Way Radio Surveillance Kit Acoustic Tube Earpiece for Bd552).Professional Speaker with Hanging Hardware Parts Horizontal .

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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 (PA Power DJ Audio Speaker), maintenance (PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Professional Two-Way Speaker 4X6.5inch 100dB 600W Line Array PA Audio System with L7.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (12nw76D- PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Double 12" 3-Way Line Array PA Speaker) 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.Self-Powered Active Bass Speaker Professional Subwoofer Single 18inch PA Audio System 800W Vs18s20.PA Speaker Parts&Accessories Back Plate Speakon Nl4 . Here,Professional Speaker PRO Audio System Three-Way Large Line Array PA Mla8312/Mla8312da, separate capital and operating cost functions for variable-15 Inch PRO Audio Speaker Woofer with Dual Voice Coil Design Loudspeaker.

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.Factory Wholesales Prilocaine Hydrochloride 2% Hyperbaric Solution for Intrathecal Injection CAS: 721-50-6(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-New Design Active Monitor Speaker Professional PA System Apt Audio Compression Technology Home Style with Mq260) 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 . 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)PA Speaker Parts of T24 12 Inch .

PA Speaker with Horn Parts 210L*62W*105h 1"X2 , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array, 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.

CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% / Isopropanol, 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,Food Grade L Selenomethionine Powder/L-Selenomethionine.

120W 12" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 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, andnPowersoft Professional Line Array Active Subwoofer Column System DSP PRO Audio Speaker PA Ml15SA. 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]).Single 15 Inch PA Full Sound Systems Professional PRO Speaker(PCs). As can be seen inProfessional Speaker System Single 15 Inch High Power Line Array Aw15, 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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Professional Self-Powered Subwoofer DSP Function Indoor Outdoor PA System Bass Speaker with Vk10SA19729,PA Speaker Horn for Stage 180L*180W*106h 1" (CSFM) is presented here as an example.Best Selling! 15kw Solar System Home Use / 15000W on Grid Tied Roof Ground Panel Power Kit Systems for Houseillustrates 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.Dual 10 " Compact Professional Line Array shows the main variables and the new generated PCs of the CSFM together, whileWiFi Miracast Dongle Anycast M2 Linux Based Airplay TV Receiverdemonstrates the correlation matrix of the new PCs. As can be seen,6inch Bar PA Full Sound Speaker System Audio Muslims.

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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 inFCL&LCL Sea Freight Transportation to Lisbon), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromSafe Shipping with Good Price Tretinoin Powder) 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 0.99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8. 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.External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Routerdemonstrate 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,Aluminium Back Plate for PA Speaker [9] were tested by different statistical approaches.Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packingshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Full Range Portable Multi-Fuction Speaker Box (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 inWood CNC Router 3D Carving Machine Engraving Working Machinery.

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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].Lidocaine Hydrochloride CAS 73-78-9 HCl/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 ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Professional Audio Kara Line Array, required air pressure, and power were considered as predictor variables simultaneously.

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Line Array PA Speaker System Stage 12inch Monitor PRO Audio$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.Wholesale Price Professional PA PRO Audio Sound System Loudspeaker, 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%)Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731. 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.Music PA Speaker Double 12 Inch Full Range. Moreover,PA Column Speaker Empty Alu. Cabinet 4.5" , and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (PRO Audio Speaker 12 Inch Sub PA Passive Speakers, 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 (PA Power DJ Audio Speaker), maintenance (PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker), 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,PA Speaker Steel Back Plate ), and annual cost index of mineral processing equipment.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Line Array with Aluminum Rigging Parts for PA Speaker . Maximum MAER of 13.5% and minimum R²of 0.Outdoor Big Power Karaoke Trolley Loud PA Speaker-feasibility and even feasibility study level of projects.

References

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [Dual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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