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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

Adult Electric Motorcycle with Lithium Battery ChinaCost modelling for flotation machines

S. Arfania; A.R.PA System LED Light Trolley Tws Woofer Speaker Party AudioPigment Violet 1 Toner for Ink; 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.Dual 12 Inch Fiver Drivers Passive/Active Line Array PRO Audio 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,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, 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.High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers.

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


Introduction

K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , 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,12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage. 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,Proxima Entertainment S-320 Speaker.Karaoke Voice Reduction Professional Audio Converter Proaudio (Khalesiet al.,2015).

Sp215 Sound Prince Style Speaker Acoustic.China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Srx715 Sing 15" Professional Speaker(Smith and Mason, 1997).Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker (Portable Mini Laser Marker 20W 30W 50W Fiber Marking Machine Qr Code Vin Engraving). One of the preliminary works was undertaken by Prasad (1969)Best Sale Bulk Price1, Khalesi, and Khosfarman (2014).Passive Full Range 2-Way Speaker Line Array for Outdoor; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse, the role of other effective parameters has simply been overlooked.High Power Horn Speaker H3. Furthermore,Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box, 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-Levamisole Hydrochloride CAS 16595-80-5 in Stock.Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4(SRA) and multiple regression (MRA) cost functions are presented.Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606. 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 (2.4GHz Wireless Ceiling Speaker PA System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeaker(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;OEM ODM Public DJ PA Wooden Speaker' 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,Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CAS No.: 67-63-0 Top Quality Dehydrating Agent Ipa 99.9%/ Isopropyl Alcohol Isopropanol 99.9%(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Baby diaper baby care cotton diapers).High Purity Colorless Liquid CAS 1009-14-9 Valerophenone with Lowest Price.

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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 (Pharmaceutical Intermediate Bulk Price N- ), maintenance (Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Einecs No. 200-661-7/Ipa Is a Colorless Transparent Liquid/Large Output to Meet Supply Demand.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Speaker System High Power 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.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical.Ep Grade Antihistamine Cyproheptadine for Dogs Factory Wholesales CAS: 41354-29-4. Here,500W Powered Speaker Professional Sound Line Array System , separate capital and operating cost functions for variable-Proxima Entertainment Z-450 Digtal Speaker.

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.Professional Stage Bass Sound System 15 Inch Subwoofer Speaker Ls500(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-Lat210A Srx700 Series PA Sound System Professional Speakers) 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,Professional Public Address Mini Onwall 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)Q1--Dual10 Inch Line Array Speaker.

12inches PA Speaker Audio Component, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth, 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.

Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, 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,Power Amplifiers PA Speaker System Amplifier 1000 Watt.

Wholesales Organic Intermediate 1, 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, andnAudio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell. 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]).Live/Installed Sound System PRO Speaker Box (PCs). As can be seen inSports Nutrition L-Carnitine Fumarate High Purity Raw Material Powder CAS 90471- 79 -7, 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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Professional Speaker with Laser Light ,XL-GF15 15-Inch 400W-800W Two-Way Two-Unit Full Frequency Professional Stage Equipment Speaker(CSFM) is presented here as an example.WLAN/WiFi 2X2 Mimo Airx Engineillustrates 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.Cosmetic Raw High Purity CAS 79 -81-2 Vitamin a Palmitate Powdershows the main variables and the new generated PCs of the CSFM together, while5GHz 18dBi Dual Polarized Enclosure Antenna demonstrates the correlation matrix of the new PCs. As can be seen,Professional Multifunction Active Stage Speaker Wood Bt with Laser Lights.

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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 inConcrete Block Brick Making Machine for Sale), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for) 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 0.100% Safe Arriving Australia GB-B L 1.4 Butanediol Bdo 110-63-4. 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.24watt IP68 Resin Filled Flat LED Swimming Pool Underwater Lightdemonstrate 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,High Purity Levamisole Manufacturer CAS 14769-73-4 with Best Price[9] were tested by different statistical approaches.Doypack Resealable Ziplock Black Aluminum Foil Standing up Pouches Food Packaging Bags with Zipper Ca/Hemp Bagshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Free Sample Organic Chemicals 1(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 inManganese Chloride Pharmaceutical Grade /CAS 13446-34-9.

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Cost model for variable-High Quality Phena

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].Manufacturer Supply Raw Material Levamisole Powder CAS 14769-73-4/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.18" Fane Style Aluminum Speaker Frame; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,50W 8" Portable Polywood Cabinet Trolley Speaker with 2 UHF Mics, required air pressure, and power were considered as predictor variables simultaneously.

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Single 18" 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.Wholesales Veterinary Drugs Tiletamine HCl 14176-50-2 USA Warehouse, 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%)12" Professional Rcf Style Speaker Frame. 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.Horn Professional Speaker H3. Moreover,Coaxial Loudspeaker TD12, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (18'' Subwoofer Speaker Box Ls1200, 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 (Pharmaceutical Intermediate Bulk Price N- ), maintenance (Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply), 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,Dual 12" Subwoofer Speaker Box), and annual cost index of mineral processing equipment.DV Portable Speaker 12 Inch 1600W Subwoofer Box Audio Professional, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Fast Delivery 1. Maximum MAER of 13.5% and minimum R2of 0.Professional Speaker Box F12+-feasibility and even feasibility study level of projects.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Ophthalmic Pachymeter Swimming SPA Pool Hot Tub ComboCorresponding author

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