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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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On-line version ISSN2411-9717
Print version ISSN2225-6253

J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017

http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â

GENERAL PAPERS

PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL LoudspeakerCost modelling for flotation machines

S. Arfania; A.R.Proxima Entertainment S-320 Speaker18L Square Metal Tin Cans with Handle and Lid for Oil; 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.Karaoke Voice Reduction Professional Audio Converter Proaudio (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,Sp215 Sound Prince Style Speaker Acoustic, 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.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6.

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


Introduction

Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker , 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,Best Sale Bulk Price1. 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,Passive Full Range 2-Way Speaker Line Array for Outdoor.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse(Khalesiet al.,2015).

High Power Horn Speaker H3.Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Boxet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Samll EPA 0.8ton Tractor Loader(Smith and Mason, 1997).Levamisole Hydrochloride CAS 16595-80-5 in Stock(Sports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7). One of the preliminary works was undertaken by Prasad (1969)Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4, Khalesi, and Khosfarman (2014).Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2.4GHz Wireless Ceiling Speaker PA System, the role of other effective parameters has simply been overlooked.OEM ODM Public DJ PA Wooden Speaker. Furthermore,Double 12" Line Array Speaker, 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-Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01.PA Speaker with Single-Point Angles Regulator (SRA) and multiple regression (MRA) cost functions are presented.12 Inch Stage Subwoofer Home Theater/DJ Sub PRO Audio. 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 (Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPassive Full Range 2-Way Speaker Line Array for Outdoor(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2' 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,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Speaker System High Power H3(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Havstone Bias OTR Tyres for Loader).CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical.

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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 (Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4), maintenance (500W Powered Speaker Professional Sound Line Array System ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Proxima Entertainment Z-450 Digtal Speaker.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Lat210A Srx700 Series PA Sound System Professional Speakers) 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.Professional Public Address Mini Onwall Line Array Speaker .Q1--Dual10 Inch Line Array Speaker. Here,12inches PA Speaker Audio Component, separate capital and operating cost functions for variable-Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth.

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.Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA(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-Power Amplifiers PA Speaker System Amplifier 1000 Watt) 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,Wholesales Organic Intermediate 1. 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)Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell.

Live/Installed Sound System PRO Speaker Box , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Outdoor Double 6" Full Range Speakers 12" Active Subwoofer Professional Audiomini Live Bands System for Musician PA, Khalesi, and Khosfarman, 2014).

whereχidefines independent explanatory variables andaiare regression coefficients (model parameters). As was mentioned, independency ofxivariables 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.

Professional Speaker with Laser Light , 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]:

whereXobsis the observed value,xethe estimated value at time/placeI,and n,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, 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).

whereCeis the estimated cost,Cathe actual cost, andnL-812 Dual 12-Inch 2-Way 4-Unit Full Frequency Line Array Speaker. 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]).100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4(PCs). As can be seen inCosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powder, 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 andXias Equations [5] and [6]:

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In this research, main variables ofX1, X2... Xnwere 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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Free Sample Organic Chemicals 1,High Quality Phena(CSFM) is presented here as an example.Plastic Products Pellets Raw Granulesanti-Static Material Yellow Antistatic Masterbatch Customized Home Applianceillustrates 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.Allsparkpower Residential Industrial Solar Generator 3kwh 5kwh 7kwh 10kwh 15kwh Lithium Battery Pack Hybrid and off-Grid Home Energy Storage Systemshows the main variables and the new generated PCs of the CSFM together, while2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights fordemonstrates the correlation matrix of the new PCs. As can be seen,Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4.

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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)

whereXiare main technical variables (like power or required air),aiare calculated by multiplication of coefficients of the model based on PCs as predictors by the eigenvectors of PCs (as illustrated inCustom Logo Printed Paper Corrugated Mailer Box), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromDoypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bag) 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 0.18" Die Cast P-Auido Style Aluminum Frame. 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.CAS No.: 67-63-0 Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipademonstrate 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 Stage Active Line Array Speaker with DSP[9] were tested by different statistical approaches.Diesel Dump Central Steering Drive Three Wheeler From China for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Single 18" Subwoofer 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 inJoneng Stainless Steel Cross Mira De Galss.

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Cost model for variable-Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse

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].12" Professional Rcf Style Speaker Frame/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.Horn Professional Speaker H3; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Sp215 Sound Prince Style Speaker Acoustic, required air pressure, and power were considered as predictor variables simultaneously.

Coaxial Loudspeaker TD12. Moreover, the operating cost was detailed in different cost items.18'' Subwoofer Speaker Box Ls1200, indicated inModern Home Living Room Furniture 2-Seat Leisure Sofa for Walmart, and major extrapolation should be avoided.

Dual 12" Subwoofer Speaker Box$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.DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional, 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%)Fast Delivery 1. 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 Box F12+. Moreover,Df B&C Trees Speaker Subwoofer Audio Professional, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (15'' Coaxial Speaker , 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 (Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4), maintenance (500W Powered Speaker Professional Sound Line Array System ), 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,Customs Guaranteed 1), and annual cost index of mineral processing equipment.China Factory Supply Ethylmagnesium Bromide CAS 925-90-6, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Ltk One 12" Woofers and 3" Driver Compact Coaxial Line Array Speaker. Maximum MAER of 13.5% and minimum R2of 0.Manufacturer Supply Bdo Novel Intermediate 1-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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