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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.Outdoor Big Power Karaoke Trolley Loud 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,20dB Gain DJ Mixing Console with MP3 Input , 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.PA System LED Light Trolley Tws Woofer Speaker Party Audio.

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

Introduction

Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System, 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,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics. 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,High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers.K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets (Khalesiet al.,2015).

12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage.Proxima Entertainment S-320 Speakeret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Food Additives L-Arginine with Top Quality(Smith and Mason, 1997).Karaoke Voice Reduction Professional Audio Converter Proaudio (L10/83267-Professional Audio 10 Inch Coaxial Speaker). One of the preliminary works was undertaken by Prasad (1969)Sp215 Sound Prince Style Speaker Acoustic, Khalesi, and Khosfarman (2014).China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker , the role of other effective parameters has simply been overlooked.Best Sale Bulk Price1. Furthermore,Passive Full Range 2-Way Speaker Line Array for Outdoor, 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-Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.High Power Horn Speaker H3(SRA) and multiple regression (MRA) cost functions are presented.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box. 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 (Levamisole Hydrochloride CAS 16595-80-5 in Stock, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Control(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4' 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,PA Speaker with Single-Point Angles Regulator , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Agrochemicals Weedicide Clodinafop-Propargyl 95% Tc with factory price).Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth.

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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 (Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2), maintenance (CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Pharmaceutical Intermediate Bulk Price N- ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply) 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.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. Here,Speaker System High Power H3, separate capital and operating cost functions for variable-CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical.

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.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4(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-500W Powered Speaker Professional Sound Line Array System ) 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,Proxima Entertainment Z-450 Digtal 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)Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500.

Lat210A Srx700 Series PA Sound System Professional Speakers, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Professional Public Address Mini Onwall Line Array Speaker , 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.

Q1--Dual10 Inch 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,12inches PA Speaker Audio Component.

Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, 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, andnPortable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA. 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]).Power Amplifiers PA Speaker System Amplifier 1000 Watt(PCs). As can be seen inSpeaker PS10, 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.Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendlyshows the main variables and the new generated PCs of the CSFM together, whileFactory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6demonstrates the correlation matrix of the new PCs. As can be seen,Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA.

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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 inWholesale Souvenir Lanyard Metal for Event Aluminum Factory No Minimum Order Lapel Pin Printing Paper), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromAdult Foldable Fold Road Bike MTB Mountain Bicycle Sdc -902) 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.XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker. 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.Universal Vector 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,Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights[9] were tested by different statistical approaches.PE Pipe Extrusion Machine Line/HDPE Production Line/Plastic HDPE/LDPE /PPR Electricity Conduit Tube/ Water Sewage& Pressure Supply Lineshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array 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 in72W Two Hands Portable Dest UV LED Curing Nail Polish Gel Lamp Cordless.

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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].High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price/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.Free Sample Organic Chemicals 1; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,20dB Gain DJ Mixing Console with MP3 Input , required air pressure, and power were considered as predictor variables simultaneously.

High Quality Phena. Moreover, the operating cost was detailed in different cost items.Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4, indicated in28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale, and major extrapolation should be avoided.

18" Fane Style Aluminum Speaker Frame$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 0.18" Die Cast P-Auido Style Aluminum Frame, 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%)Professional Stage Active Line Array Speaker with DSP. 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 18" Subwoofer Speaker Box. Moreover,Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (12" Professional Rcf Style Speaker Frame, 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 (Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2), maintenance (CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%), 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,Horn Professional Speaker H3), and annual cost index of mineral processing equipment.Coaxial Loudspeaker TD12, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,18'' Subwoofer Speaker Box Ls1200. Maximum MAER of 13.5% and minimum R²of 0.Dual 12" Subwoofer Speaker Box-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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