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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.PA Speaker Parts (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,Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, 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.Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801.

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

Introduction

Line Array PA Speaker System Stage 12inch Monitor PRO Audio, 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,Wholesale Price Professional PA PRO Audio Sound System Loudspeaker. 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,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731.Music PA Speaker Double 12 Inch Full Range(Khalesiet al.,2015).

PA Column Speaker Empty Alu. Cabinet 4.5" .PRO Audio Speaker 12 Inch Sub PA Passive Speakerset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 2021 Big Promotion Product Adult 1200W Electric Bike Motorcycle Without Pedals(Smith and Mason, 1997).PA Speaker Steel Back Plate (Color Custom Direct Injection Diesel Engine Used for Generator Set). One of the preliminary works was undertaken by Prasad (1969)Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12, Khalesi, and Khosfarman (2014).Line Array with Aluminum Rigging Parts for PA Speaker ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Outdoor Big Power Karaoke Trolley Loud PA Speaker, the role of other effective parameters has simply been overlooked.20dB Gain DJ Mixing Console with MP3 Input . Furthermore,PA System LED Light Trolley Tws Woofer Speaker Party Audio, 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-Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio System.50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics(SRA) and multiple regression (MRA) cost functions are presented.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers. 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 (K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inNewest 250cc Farm UTV 200cc Go Kart Buggy with Ce(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage' 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,Cheap 500W Professional Audio Speakers Dual 15 Inch 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,Best Sale Bulk Price1, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Passive Full Range 2-Way Speaker Line Array for Outdoor(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3 Ply Nurse Medical Doctor Clinical Anti-Infection Earloop Mask).Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse.

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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 (High Power Horn Speaker H3), maintenance (Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Levamisole Hydrochloride CAS 16595-80-5 in Stock.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606) 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.2.4GHz Wireless Ceiling Speaker PA System.OEM ODM Public DJ PA Wooden Speaker. Here,Double 12" Line Array Speaker, separate capital and operating cost functions for variable-Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01.

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.PA Speaker with Single-Point Angles Regulator (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-12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio) 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,Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth. 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)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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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.

Pharmaceutical Intermediate Bulk Price N- , 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,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply.

Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand, 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, andnVeterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl. 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]).Speaker System High Power H3(PCs). As can be seen in5L Rectangle Metal Aluminium Chemical Paint Oil Easy Open Tin Can, 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.L10/83267-Professional Audio 10 Inch Coaxial Speakershows the main variables and the new generated PCs of the CSFM together, whilePendoo X10 Max Amlogic S905X3 Android TV Player World IPTV Video Box Support IR /2.4GHz Wireless Mobile Remote Controldemonstrates the correlation matrix of the new PCs. As can be seen,Proxima Entertainment Z-450 Digtal Speaker.

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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 inChina Natural Slate Tiles for Flooring and Walls), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found fromFast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock) 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.Lat210A Srx700 Series PA Sound System Professional Speakers. 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.Custom Design Food Grade Heat Seal Refrigerate High Quality Plastic Aluminum Foil Pickles Kimchi Packaging Bag Zipper Window for Vegan Eco Friendlydemonstrate 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 Public Address Mini Onwall Line Array Speaker [9] were tested by different statistical approaches.Factory Produced Android Smart TV Box 7.1 Full HD 1080P Video Kodi 17.6shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Q1--Dual10 Inch 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 in5ml Mini Travel Pocket Refillable Aluminum Empty Atomizer Spray Glass Perfume Bottle.

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Cost model for variable-12inches PA Speaker Audio Component

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].Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth/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.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801, required air pressure, and power were considered as predictor variables simultaneously.

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Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell$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.Live/Installed Sound System PRO Speaker Box , 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%)Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA. 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 Speaker with Laser Light . Moreover,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights, 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 (High Power Horn Speaker H3), maintenance (Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box), 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,L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker), and annual cost index of mineral processing equipment.100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price. Maximum MAER of 13.5% and minimum R²of 0.Free Sample Organic Chemicals 1-feasibility and even feasibility study level of projects.

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Lashgari, A.Professional Stage Active Line Array Speaker with DSP, A.R. 2013.Single 18" Subwoofer Speaker Box,Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse,vol. 23. pp. 441-446.         [Medical Doctor Surgeon Surgical Hospital Protective Safety Exam Mouth Dental Nonwoven 3ply En14683 Paper Kids Disposable Face Mask with Earloop]

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Professional Speaker Box F12+.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [PA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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