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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.500W Powered Speaker Professional Sound Line Array System (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,Proxima Entertainment Z-450 Digtal 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.Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500.

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

Introduction

Lat210A Srx700 Series PA Sound System Professional Speakers, 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 Public Address Mini Onwall Line Array Speaker . 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,Q1--Dual10 Inch Line Array Speaker.12inches PA Speaker Audio Component(Khalesiet al.,2015).

Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PAet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for ASTM A790 Uns S31803 Seamless Stainless Steel Tube(Smith and Mason, 1997).Power Amplifiers PA Speaker System Amplifier 1000 Watt(RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports). One of the preliminary works was undertaken by Prasad (1969)Wholesales Organic Intermediate 1, Khalesi, and Khosfarman (2014).Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Live/Installed Sound System PRO Speaker Box , the role of other effective parameters has simply been overlooked.Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA. Furthermore,Professional Speaker with Laser Light , 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-XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker.Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights(SRA) and multiple regression (MRA) cost functions are presented.L-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker. 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 (100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHigh Purity Ethylamine HCl(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price' 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,18" Die Cast P-Auido Style Aluminum Frame

►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Professional Stage Active Line Array Speaker with DSP, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Single 18" Subwoofer Speaker Box(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hot air of different quality through non-woven hydrophiles for the manufacture diapers / sanitary napkins).Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 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 (12" Professional Rcf Style Speaker Frame), maintenance (Horn Professional Speaker H3) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Coaxial Loudspeaker TD12.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (18'' Subwoofer Speaker Box Ls1200) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dual 12" Subwoofer Speaker Box) 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.DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional.Fast Delivery 1. Here,Professional Speaker Box F12+, separate capital and operating cost functions for variable-Df B&C Trees Speaker Subwoofer Audio Professional.

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.15'' Coaxial Speaker (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-Customs Guaranteed 1) 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,China Factory Supply Ethylmagnesium Bromide CAS 925-90-6. 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)Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker.

Manufacturer Supply Bdo Novel Intermediate 1, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro, 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.

99% Pain Reliever Local Anesthetic Powder Tetracaine CAS 94-24-6, 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,China Factoty Supply Levamisole HCl CAS16595-80-5 Hydrochloride Tetramisole.

400 Watt Portable Music Player Speaker Professional Audio, 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, andnDual 6inch Loudspeaker for Coffee Room Restaurant Conference Speakers. 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]).Dm 15 Inch PA Full Sound Systems Professional PRO Speaker(PCs). As can be seen inPA Speaker Dual 12 Inch 3-Way PRO Audio Professional Line Array, 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.Aftermarket Hdy. Cyl Repair Kits for Cat Diggers/0965606shows the main variables and the new generated PCs of the CSFM together, while5GHz 29.5dBi Die Cast Grid Antennademonstrates the correlation matrix of the new PCs. As can be seen,PA Speaker Dual 18" Subwoofer 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 inHydraulic Press Brake Tooling Moulds Bending Machine Tools Die), S_ixand X_i,aveare the standard deviation and mean of main variables, respectively (can be found from5GHz Dual Polarization Enclosure WLAN Antenna) 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.Active Mini Line Array Speaker with DSP Amplifier Module. 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.Diesel Engine Parts Fuel Injection Nozzle Dlla153p049demonstrate 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,Quality Certified Product Ethyl 2-Phenylacetoacetate CAS: 5413-05-8 BMK Powder[9] were tested by different statistical approaches.Rofessional 21 Speed Mountain Bicycle 26 Inch New MTBshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Quality Karaoke Loudspeaker with B&C Compression Driver(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 in65m/Min Wood Veneer Price Fastest Advanced Log Machine China Woodworking.

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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].Factory Supply BMK Powder Glycidate CAS: 5413-05-8/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.China Factory Supply CAS 99-93-4 4-Hydroxyacetophenone; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Proxima Entertainment Z-450 Digtal Speaker, required air pressure, and power were considered as predictor variables simultaneously.

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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.99% 4'-Hydroxyacetophenone CAS 99-93-4 100% Pass Customs. Moreover,62442 Shiny and Non Phena Powder 62 44 2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Quality Guaranteed BMK White Powder CAS: 16648-44-5 Glycidate, 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 (12" Professional Rcf Style Speaker Frame), maintenance (Horn Professional Speaker H3), 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,Hair Loss Treatment Acetyl Tetrapeptide-3/Capixyl CAS 827306-88-7 Purity Min 99% Powder), and annual cost index of mineral processing equipment.100% Passing The Customs Europe Free Shipping BMK Glycidate 16648-44-5, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R²,Trolley Large Audio Loudspeaker Box Professional Stage Active PA Speaker. Maximum MAER of 13.5% and minimum R²of 0.BMK White Powder Europe Free Shipping Pmk Glycidate CAS: 13605-48-6-feasibility and even feasibility study level of projects.

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Niazi, A., Dai, J.S., Balabani, S., and Seneviratne, L. 2006.Best Quality BMK Glycidate Raw Materials Fororganic Intermediates Bulk Price.Journal of Manufacturing Science and Engineering,vol. 128. pp. 563-575.         [High Security Door Peephole Eyes Viewer DV3828b ]

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Tetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileiro, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Disco Sound+ PA System Speaker.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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