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


Professional Audio Loudspeaker PA Stage Active Line ArrayCost modelling for flotation machines

S. Arfania; A.R.Cosmetic Raw Material Powder CAS 20449- 79 -0 Pure Bee Venom/Melittin/MelittenProfessional Audio Speaker Double 10 Inch Line Array ; 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.Pharmaceutical Chemicals Cefodizime Sodium CAS 86329- 79 -5(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,Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality, 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% High Quality Nootropics Drugs Huperzine a 102518- 79 -6 Hupa USA Factory Fast Delivery.

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


Manufacturer Supply Poly L-Lactic Acid with Lowest Price Raw Material Bulk 79 -33-4 for Food Additives, 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,Crovell Factory Supply High Quality CAS 79 -57-2 Oxytetracycline. 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,Fast Delivery CAS 525- 79 -1 6-Furfurylaminopurine 99%.Peptide Cosmetics CAS 155149- 79 -4 Capixyl(Khalesiet al.,2015).

China O-Phthalaldehyde Opa CAS 643- 79 -8 Raw Crystal 643798 Supplier.100% Copper Wire St-1kw Single Phase Dynamo Factory Priceet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yn725g Yineng Mini Wheel Loader(Smith and Mason, 1997).China Supplier Antioxidants Powder of Propyl Gallate CAS: 121- 79 -9(Printed Polyethylene Plastic Foil Packaging Roll Film for Packing Machine). One of the preliminary works was undertaken by Prasad (1969)37'' Ultra Wide Stretched Shelf LCD Screen Monitor Advertisement Display, Khalesi, and Khosfarman (2014).49" 450nits LG panel advertising LCD screen ; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,aluminium LCD wall panel surveillance flat display, the role of other effective parameters has simply been overlooked.3X3 LCD wall panel surveillance digital display screen. Furthermore,AV input LCD wall panel 49inch surveillance monitors, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-LG panel 49" advertising rack .55inch wall mount LCD panel surveillance LED video(SRA) and multiple regression (MRA) cost functions are presented.Two-Way 10inch Karaoke Full Range Speaker F10+ PA Horn. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (55 Inch LCD Video Wall Display with Controller, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;10inch Speaker for Music Bar PRO Audio Sound System' 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 Sound System 10'' PRO Neodymium Line Array PA Audio System.

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,10inch Loudspeaker PA Speaker PRO Audio, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),10 " Professional Home Theater Stage Performance Audio Video PA Trolley IR Bluetooth Active Speaker with Multimedia Heavy Bass and Big Power(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bianco Statuario Venato Slab).10 Inch Powerful PRO Wood PA Bluetooth Audio Mixer 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 (Single 10 Inch Active Speaker PS10r2 PA System), maintenance (Professional Audio Speaker Dual 10 Inch Neodymium Line Array) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Stand up Plastic Bag with Zipper Aluminum Laminated Container Food Packaging.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Food Grade Packaging Custom Print Laminated Stand up Bag) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Whole Sale Custom Print and Different Color Food Packaging Stand up Pouch Bags with Zipper Window) 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.Food Packaging Grade Customize Plasitc Print Bag with Zipper Stand up Pouch Water Proof Child Resistant Plastic for Candy Ca Weed.Food Packaging Bag. Here,High Quality Coffee /Candy/Weed /Hemp Plastic Container, separate capital and operating cost functions for variable-Water Proof Child Coffee /Candy/Weed Plastic Container.

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.10 Inch Coaxial Speaker Professional Driver " Line Array Subwoofer(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-Electronics ESD Moisture Barrier Aluminum Foil Bag Shielding Anti-Static Plastic for Electronic Parts) 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,Donbn Dz- 10 Two Way Full Range Professional KTV 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)Professional Speaker Double 10'' Neodymium Line Array.

10'' Neodymium Coaxial Speaker. 250W & 60W Power Rating PA Audio., the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (4-Chloro-4'-Methylbenzophenone High Quality Products CAS 5395- 79 -9, 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.

55" HD 1080P Commercial LED Screen Video Wall LCD Display, 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,A+ grade LCD wall panel surveillance high brightness screen.

Seamless 1920*1080 Pixel High Resolution LCD Monitor 49", 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, andnPA 10 -35W 5.25'' Sound Ceiling 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]).Samsung LTI550HN16 1920X1080P screen monitor LCD video wall(PCs). As can be seen inB5 200cc 250cc 300cc Cargo Tricycle with Cabin Motorcycle Three Wheel Loncin Zongshen Lifan Engine, 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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High Purity Amino Acid L-Arginine Powder,High Efficiency 10inch Transducers PS10 for Best PA Speaker(CSFM) is presented here as an example.18mm Brown Film Faced Finger Jointed Plywood for Concrete Formworkillustrates 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.PVC Vacuum Calibrated Tank 160mmshows the main variables and the new generated PCs of the CSFM together, whileFactory-Hardwood Veneer in 1300X2500mmx 0.60mmdemonstrates the correlation matrix of the new PCs. As can be seen,Active 10 " Line Array with Calss-D Amplifier and Built-in DSP.

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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 inOtt Amlogic S905W 2GB 16GB Motherboard Firmware 4K Android7.1 Smart TV Box I96W), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromLine Array of Parts for PRO Audio Speaker ) 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 0.10 Inch High-Power Professional PA Subwoofer Speaker. 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.Prfessional Audio 10''karaoke 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,Professional 10 Inches Rcf Aluminum PA Speaker Frame[9] were tested by different statistical approaches.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Controlshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Peq- 10 Dwb PA Speaker with Class-Ab Mono Amplifier Portable Bluetooth(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 inCNC Veneer Peeling Rotary Lathe/Heavy Duty 2600mm Face Lathe.

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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].Dual 10 " Outdoor Wooden PA System Bluetooth Trolley Smart Speaker/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.Double 10inch Line Array System Box ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Hot Selling Ceftriaxone Sodium CAS 104376- 79 -6 Top Quality, required air pressure, and power were considered as predictor variables simultaneously.

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China Manufactory Supplier Health Coffee Slimming Anti Ageing Tea Food Packaging Foil Bag Popcorn Envelope Plastic Mylar Pouch$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.Chin Top Supplier Supply L- , 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%)Pharmaceutical Industry CAS 643- 79 -8 O-Phthalaldehyde. 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.Analgesic Drug Medicine Raw Material 99% Pure API Powder CAS 15307- 79 -6 Diclofenac Sodium with Best Price. Moreover,CAS 79 -14-1 70% Glycolic Acid Powder, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Anti-Wrinkle Cosmetic Grade PRO-Xylane CAS-439685- 79 -7, 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 (Single 10 Inch Active Speaker PS10r2 PA System), maintenance (Professional Audio Speaker Dual 10 Inch Neodymium Line Array), 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,Professional Supplier Disodium Glycyrrhizin 71277- 79 -7 Food Sweetener Exporter), and annual cost index of mineral processing equipment.Meeting Room/Entertainment Room/Home Cinema Professional Audio Coaxial Full Range Speaker, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Raw Material 99% Tretinoin Powder/Retinoic Acid CAS 302- 79 -4. Maximum MAER of 13.5% and minimum R2of 0.Bloom Tech API Ceftriaxone Sodium 104376- 79 -6-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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Creative Commons LicenseÂAll the contents of this journal, except where otherwise noted, is licensed under a20 Years ISO9001 Factory Professional All Terrain Mrf Cross-Country Motorcycle Tubeless/Tube Tire ATV Rubber Tyre B036 2.75-18 3.00-18