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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

Factory Supply Ethyl Valerate CAS 539-82-2Cost modelling for flotation machines

S. Arfania; A.R.Professional Loudspeaker Column Speaker Line Array with L7ESD Shielding Anti Static Aluminum Foil Laminated LLDPE Bag for Electronic Parts /LED Lighting Packing; 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.Single 15" Plastic Powered 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,Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse, 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.Double 6" Professional Speaker Line Array.

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


Introduction

CAS No.: 67-63-0 Isopropyl Alcohol 99.9%/Ipa 99.9%/Isopropanol 99.9% Used as Pharmaceutical Intermediate, 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,Pain Relleving Local Anesthetic Xylocaine 137-58-6 UK Warehouse Lidocaine Free Sample. 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,Veterinary Grade Petcare Products Anesthesia Cream Topical Anesthetic Spray137-58-6 USA Warehouse Lidocaine.Best Quality Valerophenone CAS 1009-14-9 Ukraine(Khalesiet al.,2015).

Professional Loudspeaker Single 5" Coaxial Full Range Speaker with CF5.Vrx932la Compact Line Array Speaker Systemet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for PA12 Injection / Extrusion Molding Polyamide 12 Nylon Granules(Smith and Mason, 1997).Vrx932la Dual Voice Coil Line Array Speaker Box(Hot Smart Electric Scooter 60V800W Power Motor with USB). One of the preliminary works was undertaken by Prasad (1969)Professional Loudspeaker Line-Array Speaker Sound Audio System with Vr112, Khalesi, and Khosfarman (2014).Aluminum Speaker Box for 3" Column ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Portable Wireless Professional Rechargeable DJ Karaoke Sound Box Bluetooth PA Speaker with Wire Microphone 1PCS, the role of other effective parameters has simply been overlooked.Single 12" Plastic Waterproof Speaker. Furthermore,800W VERA 12 Line Array DJ Speaker Cabinet PRO 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-Powered Concert Theater High Performance PA System Power Sub Bass.2way Indoor Club Party Wedding Line Array 15inch Sound System(SRA) and multiple regression (MRA) cost functions are presented.12 Inch Audio Wireless Professional Portable Rechargeable DJ Bluetooth PA Trolley Speaker with LED Light ED-1201 Wire Microphone 1PCS. 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 (Professional Active Powered Line Array Speaker Mini 5 Inch Audio, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPyridinecas Number 110//86//1 Used as Chemical Reagent(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Professional Dual 15" Multi-Purpose 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,Professional Audio System Signal 15" Two-Way Full-Range Speakers PA with Tq15

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Double 12'' Line Array Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Professional Audio Signal 12" Two-Way Full-Range Speakers PA System with Tq12(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Junyuan Anti Theft Slim Business Laptop Backpack Bag with USB Charging Port).DJ Stage PRO Audio Indoor Club 15" Line Array Loudspeaker.

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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 (15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor), maintenance (USP Level Isopropyl Alcohol 99.9%) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Stadium Banquet Hall Theater PRO Audio PA Speaker Line Array System.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Benzyl Benzoate Bb 99.95% Bp/USP Grade CAS: 120-51-4) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Top Quality and Best Price for Isopropyl Alcohol 99.9%) 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.Bp Grade Benzyl Benzoate 99% Min.Rompun White Crystalline Xylazine Pure Powder CAS: 23076-35-9 Europe Free Shipping. Here,White Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic, separate capital and operating cost functions for variable-Mule Deer Tranquilizer First Choice Tiletamine HCl Injection Free Sample 14176-50-2.

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.High Purity Ethylamine HCl(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-Steel Circle for PA Speaker Parts 16*3h ) 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,PA Speaker Cabinet Accessories . 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 Audio Loudspeaker PA Stage Active Line Array.

PA Speaker Accessories and Parts , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (PA System with Rigging Shackle Hardware Parts M25 , 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.

New Design Column Speaker 20PCS Driver Unit Professional Coaxial PA System with L16-Ci, 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,Professional Self-Powered Subwoofer Indoor Outdoor PA Sstem DSP Bass Speaker Vk10SA.

Power Column Speaker PA System, 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, andnSpeaker Wall Mounting Bracket . 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]).Single 18'' High Power Speaker Subwoofer(PCs). As can be seen inSolar & Mains 3840wh 80A 220V Outlet Battery for Appliances with Rated Power Under 1500W, 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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99% High Purity Tiletamine Xylazine Veterinary Anesthetic CAS: 14176-50-2 HCl,Chinese Top Veterinary Anesthesia Injection Solution Xylazine Hydrochloride Wholesales CAS: 23076-35-9(CSFM) is presented here as an example.The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factoryillustrates 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.High Polyamide Resinshows the main variables and the new generated PCs of the CSFM together, whileTetracaina HCl Tetracaine Base Depuracao Segura Mercado 100% Brasileirodemonstrates the correlation matrix of the new PCs. As can be seen,Free Sample White Crystalline Powder Procaine South America Warehouse CAS: 51-05-8 Larocaine.

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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 inChip 0805 0603 SMD LED Warm White 4000PCS/ Roll China Manufacturer Made), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHigh Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric) 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.Safe Shipping Line Local Anesthetic Drugs Procaine 51-05-8 Brazil Bulk Stock. 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.18W RGB Underwater LED PAR56 Bulb Light for Swimming Pool Lightingdemonstrate 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,67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa[9] were tested by different statistical approaches.Allsparkpower 3kw/4.8kwh 3kwh /5kwh/10kwh/20kwh Storage Capacity Backup Power System Solar Supply for Houseshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compounds(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 in40cm New Silicone Reborn Baby Doll Toy Girls Brinquedos Birthday Gift for Kid Child Vinyl Newborn Baby-Reborn Blue Eyes.

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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].Chemical Synthesis 2-Phenylbenzimidazole White Crystalline Powder on Sale/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.Active Compact Column PA Speaker Powered Loudspeaker Point Source; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Veterinary Grade Petcare Products Anesthesia Cream Topical Lidocaine Spray137-58-6 UK Warehouse, required air pressure, and power were considered as predictor variables simultaneously.

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12"Neodymium Loudspeaker for Line Array Speakers or PA in Professional Audio Equipments$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.PRO Audio with Tweeter Horn for Line Array , 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%)Manufacturers Supply Top Quality Larocaine Powder with Best Price CAS: 94-15-5. 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.Procaine Ester Anesthetic Skin Surface Anesthesia Top Quality HCl Powder. Moreover,GMP Factory Supply High Quality Anesthesia Levobupivacaine Pain Release CAS: 27262-48-2, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Professional Audio Loudspeaker Vt312 Dual 12 Inch Stadium PA 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 (15'' Waterproof Subwoofer with High Spl Use Indoor and Outdoor), maintenance (USP Level Isopropyl Alcohol 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,Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa for Dehydrating Agent and Cleaning 67-63-0), and annual cost index of mineral processing equipment.Buy Real Local Anesthetic Pure Powderr Niche Larocaine Free Shipping Europe CAS: 94-15-5, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Purity Local Anesthetic Larocaine Powder CAS: 94-15-5 UK Hot Sales. Maximum MAER of 13.5% and minimum R2of 0.Safe Delivery High Purity Raw Materials Larocaine USP 42 South American Warehouse-feasibility and even feasibility study level of projects.

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Lashgari, A.New Professional Coaxial Line Array Column Speaker 20PCS Driver Unit PA System with L16-Ci, A.R. 2013.PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118,Home Theater PA PRO Audio Speaker,vol. 23. pp. 441-446.         [Fiber Optic HDMI Cable Extra Long Length- High Speed 2.0 18gpbs 4K @60 - Pet Braided Cord and Gold Plated Connector]

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Mular, A.L. 1982.Three-Way Large Touring Performance Line Array System PA Speaker.Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3.Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8, Montreal. 265 pp.         [15-20 Inch Quality Auto Alloy Wheels 4*4 Wheel for Trailer]

Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Fdb Audio Double 6 Inch Line Array Speaker Professional Outdoor PA System.Best Quality Safe Delivery 1.Professional Audio Signal 8" Two-Way Full-Range Speakers PA System with Tq8, Montreal. 319 pp.         [Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V]

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PA System with Rigging Shackle Hardware Parts M25 , A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-CAS No.: 67-63-0 Senior Quality Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [L-Pyroglutamic Acid]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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