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



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S. Arfania; A.R.PA Speaker Horn for Stage 180L*180W*106h 1" 1.5 Kw Power Save for Solar Water Pump AC 3 Phase Inverter Variable Frequency Drive; M.R. Khalesi

Tarbiat Modares University, Iran


Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.6inch Bar PA Full Sound Speaker System Audio Muslims(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,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8, 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 0.99% Amide Type Lidocaine Prilocaine Cream USP 2.5% Local Anesthetic Raw Powder CAS: 1786-81-8.

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


Aluminium Back Plate for PA 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,Full Range Portable Multi-Fuction Speaker Box . 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,Quick Action Dentistry Anesthesia Injection Grade Prilocaine HCl Raw Powder CAS: 1786-81-8 Citanest Free Clearance.Lidocaine Hydrochloride CAS 73-78-9 HCl(Khalesiet al.,2015).

PA Speaker Parts .Active Monitor Speaker Professional PA System Aptaudio Compression Technology with Mq250190801et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Decorative Natural Mahogany Cedar Sapele Oak Walnut Teak Veneer Fancy(Smith and Mason, 1997).Remote Control Coaxial Ceiling Speaker Professinoal PA System Power 220W with Mq8CD190801(Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine). One of the preliminary works was undertaken by Prasad (1969)Line Array PA Speaker System Stage 12inch Monitor PRO Audio, Khalesi, and Khosfarman (2014).Wholesale Price Professional PA PRO Audio Sound System Loudspeaker; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Full Range Speaker 4X4inch Professional PA Sound System Foh for Medium with Ml419731, the role of other effective parameters has simply been overlooked.Music PA Speaker Double 12 Inch Full Range. Furthermore,PA Column Speaker Empty Alu. Cabinet 4.5" , 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-PRO Audio Speaker 12 Inch Sub PA Passive Speakers.PA Speaker Steel Back Plate (SRA) and multiple regression (MRA) cost functions are presented.Professional Speaker Power Line-Array Actives Stage Loudspeaker PA System with Vs12. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Line Array with Aluminum Rigging Parts for PA Speaker , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inZys Rolling Mill Bearing Four Row Taper Roller Bearings 3810/ 710(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Outdoor Big Power Karaoke Trolley Loud PA 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,High Quality Professional OEM / ODM Manufacturer PA Systems 8" Speakers

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,K2 Line Array Rigging Horn Metal Grill Waveguide Flare Sets , blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),12 Inch Karaoke Bar KTV Speaker Professional PA Passive Stage(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Customized Metal 3D Plating Gold Enamel Lapel Pin).Proxima Entertainment S-320 Speaker.

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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 (Karaoke Voice Reduction Professional Audio Converter Proaudio ), maintenance (Sp215 Sound Prince Style Speaker Acoustic) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,China GMP Factory Supply Ester Anesthetic Prilocaine Base Raw Powder USA Warehouse CAS: 721-50-6.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Cheap 500W Professional Audio Speakers Dual 15 Inch Speaker ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Sale Bulk Price1) 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.Passive Full Range 2-Way Speaker Line Array for Outdoor.Free Sample Veterinary Drugs Xylazine Hydrochloride Powder CAS: 23076-35-9 USA Warehouse. Here,High Power Horn Speaker H3, separate capital and operating cost functions for variable-Horn Speaker L-Acoustics Kudo Line Array+ PA System Array Box.

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.Levamisole Hydrochloride CAS 16595-80-5 in Stock(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-Fast Shipping to Australia Quality 1.4 Butanediol Bdo 110-63-4) 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,Wireless Professional Rechargeable Portable DJ Karaoke Sound Box Trolley Bluetooth PA Speaker with ED-606. 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)2.4GHz Wireless Ceiling Speaker PA System.

OEM ODM Public DJ PA Wooden Speaker, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Double 12" Line Array Speaker, 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.

Feiyang 2X6" Private Battery Bluetooth Speaker Fg206-01, 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,PA Speaker with Single-Point Angles Regulator .

12 Inch Stage Subwoofer Home Theater/DJ Sub PRO 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).

whereCeis the estimated cost,Cathe actual cost, andnPeq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth. 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]).Mexico Warehouse Free Sample Intermediate 103-63-9/96-48-O/1009-14-9/49851-31-2/79099-07-3/125541-22-2(PCs). As can be seen in2ND Generation Ultrasound Bone Densitometer, 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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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.Tetracaine HCl CAS136-47-0shows the main variables and the new generated PCs of the CSFM together, whileProfessional Audio PA Subwoofer Component Speakers Bocinasdemonstrates the correlation matrix of the new PCs. As can be seen,Cinnamaldehyde CAS 104-55-2 Cinnamic Aldehyde Factory Supply.

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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 in2021 Wholesale Valentines Day Christmas White Red Teddy Bear Roses Gift Flower 25cm 40cm 70cm PE Foam Rose with Box), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPigment Violet 1 Toner for Ink) 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.Veterinary Medicine Levamisole Hydrochloride CAS 16595-80-5 HCl. 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.PA PRO Audio Stage 8 Ohm Speaker 12 Inch Neodymium Woofer 500W 2622HPL Loudspeakerdemonstrate 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,Speaker System High Power H3[9] were tested by different statistical approaches.18L Square Metal Tin Cans with Handle and Lid for Oilshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.CAS No.: 67-63-0 Colorless Transparent Liquid Isopropyl Alcohol 99.9% Used as Raw Materals in Pharmaceutical(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 in2021 Hot Sell Silicon Tube- DIY Waterproof Strip Topview LED Neon Flex Light IP65 RGB Silicone Tube.

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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].500W Powered Speaker Professional Sound Line Array System /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.


Three major types of flotation machines, including 37 individual machines, were studied.Proxima Entertainment Z-450 Digtal Speaker; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,China Exwork Price Emla Cream Raw Materials Lidocaine Prilocaine Local Anesthetic Powder CAS: 1786-81-8, required air pressure, and power were considered as predictor variables simultaneously.

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Professional Public Address Mini Onwall Line Array Speaker $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.Q1--Dual10 Inch Line Array Speaker, 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%)12inches PA Speaker Audio Component. In the MRA cases, this property is owed to the SFM (3.05%).


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.Peq-8A-Active PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth. Moreover,Portable Black Floor Tripod Speaker Stand Adjustable for 12 Inch PA, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Power Amplifiers PA Speaker System Amplifier 1000 Watt, 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 (Karaoke Voice Reduction Professional Audio Converter Proaudio ), maintenance (Sp215 Sound Prince Style Speaker Acoustic), 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,Wholesales Organic Intermediate 1), and annual cost index of mineral processing equipment.Audio J812 Loudsspeaker Line Array PA System Speaker Plan Three Way Dual 12 Inches PRO Sell, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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