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.Aluminium Back Plate for PA Speaker (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,Full Range Portable Multi-Fuction Speaker Box , 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.Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance.

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

Introduction

Lidocaine Hydrochloride CAS 73-78-9 HCl, 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 Parts . 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,Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(Khalesiet al.,2015).

Line Array PA Speaker System Stage 12inch Monitor PRO Audio.Wholesale Price Professional PA PRO Audio Sound System Loudspeakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Jwell- PVC|PP|PE|PC|ABS Small Profile Recycling Agricultural Extrusion Machine for Building Industry Home and Office Decoration(Smith and Mason, 1997).Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731(Wf7021A 2.4G 600Mbps 5g 1.2gbps Dual Band 4 Antennas WiFi 6 Router). One of the preliminary works was undertaken by Prasad (1969)Music PA Speaker Double 12 Inch Full Range, Khalesi, and Khosfarman (2014).PA Column Speaker Empty Alu. Cabinet 4.5" ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,PRO Audio Speaker 12 Inch Sub PA Passive Speakers, the role of other effective parameters has simply been overlooked.PA Speaker Steel Back Plate . Furthermore,Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12, and estimation of detailed operating cost items such as maintenance, lubrication,etc.is not possible. To overcome these deficiencies, this paper aims to introduce up-to-Line Array with Aluminum Rigging Parts for PA Speaker .Outdoor Big Power Karaoke Trolley Loud PA Speaker(SRA) and multiple regression (MRA) cost functions are presented.20dB Gain DJ Mixing Console with MP3 Input . However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.

Methodology

Data

Thirty-seven major flotation machines (PA System LED Light Trolley Tws Woofer Speaker Party Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDual 10 " Professional Home Sound Mini Concert Karaoke Party System Mobile Trolley Battery Active Stereo Audio Speaker with DJ Light+Remote Control+Bt(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System' 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,Proxima Entertainment S-320 Speaker

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Karaoke Voice Reduction Professional Audio Converter Proaudio , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Sp215 Sound Prince Style Speaker Acoustic(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Frozen Cauliflower).China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6.

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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 (Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker ), maintenance (Best Sale Bulk Price1) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Passive Full Range 2-Way Speaker Line Array for Outdoor.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (High Power Horn Speaker H3) 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.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box.Levamisole Hydrochloride CAS 16595-80-5 in Stock. Here,Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, separate capital and operating cost functions for variable-Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606.

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.2.4GHz Wireless Ceiling Speaker PA System(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-OEM ODM Public DJ PA Wooden Speaker) 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,Double 12" Line Array Speaker. 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)Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01.

PA Speaker with Single-Point Angles Regulator , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio, 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.

Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, 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,Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2.

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whereC_eis the estimated cost,C_athe actual cost, andnHigh Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price. 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]).Pharmaceutical Intermediate Bulk Price N- (PCs). As can be seen inNewest 250cc Farm UTV 200cc Go Kart Buggy with Ce, 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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Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl(CSFM) is presented here as an example.5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Canillustrates 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.Win10 TV Box Pipo X9s Z8350 Chipset 4G 64G Media Player Win Smart Digital Receivershows the main variables and the new generated PCs of the CSFM together, whileJwell HDPE Waterproof Membrance Roll Extrusion Linedemonstrates the correlation matrix of the new PCs. As can be seen,Speaker System High Power H3.

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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 inlatest Design Flower Zircon Brooches Wholesale for Wedding Party), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromChina Factory Supply Valerophenone CAS 1009-14-9 High Quality and Safety Guarantee 1009 14 9 / 1009149) 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.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4. 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.Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stockdemonstrate 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,500W Powered Speaker Professional Sound Line Array System [9] were tested by different statistical approaches.Gy6 Engine 150cc Gasoline Scooter for Adultsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Proxima Entertainment Z-450 Digtal Speaker(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 in1209 Dual-Color Red/Yellow Green SMD LED with RoHS.

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Cost model for variable-Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500

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].Lat210A Srx700 Series PA Sound System Professional Speakers/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.Professional Public Address Mini Onwall Line Array Speaker ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Full Range Portable Multi-Fuction Speaker Box , required air pressure, and power were considered as predictor variables simultaneously.

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Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth$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.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, 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%)Power Amplifiers PA Speaker System Amplifier 1000 Watt. 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.Wholesales Organic Intermediate 1. Moreover,Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Live/Installed Sound System PRO Speaker Box , 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 (Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker ), maintenance (Best Sale Bulk Price1), 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,Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA), and annual cost index of mineral processing equipment.Professional Speaker with Laser Light , and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker. Maximum MAER of 13.5% and minimum R²of 0.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights-feasibility and even feasibility study level of projects.

References

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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