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



Diesel Fuel Injection Nozzle Dlla160pn141Cost modelling for flotation machines

S. Arfania; A.R.2X12 Outdoor Compact Neodymium PRO Audio PA Event Line Array0.15mm-1.0mm Okume/ Bintangor/ Sapelli Natural Veneer From Linyi Orikey Wood; 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.Best Price Medicine Grade Lanosterol Powder(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,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array, 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.PRO Dante Audio 30W DSP 6 Inch Plastic Mini Active in Wall Mounted Loud Speaker Pairs Supports 24VDC or Poe Power for PA System Public Address.

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


Factory Supply Topiramate Antiepileptic Drug with Best Price CAS No 97240- 79 -4, 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,Cosmetic Grade L-Arginine with Best Price. 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,Anti-Wrinkle and Aging Chemical Raw Materials.High Quality Free Sample Ortho Phthalaldehyde 643- 79 -8 with Fast Delivery(Khalesiet al.,2015).

Waterproof Childproof Ziplock Valve Bag.Professional Sound Speaker Single 8 Inch Portable Stage Monitor PS8r2et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for CAS 81-48-1 Solvent Violet 13 for Dyestuff Powder(Smith and Mason, 1997).Pharmaceutical CAS 5413-5-8 BMK Ethyl 2-Phenylacetoacetate(Cheap Price Speaker Wall Mount Bracket ). One of the preliminary works was undertaken by Prasad (1969)Factory Supply Hot Sale CAS No. 148- 79 -8 Thiabendazole Price, Khalesi, and Khosfarman (2014).L-Arginine Powder Amino Acid Pure Manufacturer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,White Powder Vitamin a for Food and Feed Grade, the role of other effective parameters has simply been overlooked.Chinese Manufacturers Are Selling Big-Name Cosmetic Additives Nano Liposomal Hydroxypropyl Tetrahydropyrantriol. Furthermore,Professional Line Array Speaker Neodymium Af15, 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-Manufacturer Supply CAS 79 -14-1 Glycolic Acid 70% 99% Cosmetic Grade.Q210 Passive PA Speaker System(SRA) and multiple regression (MRA) cost functions are presented.Retinol Palmitate/Vitamin a Palmitate Oil as Food Ingredient. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Professional 24 Channels Digital Audio Mixer Console, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inMotor Electronic Power Frequency Converter 380V 2.2kw(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;100% Natural Huperzia Serrata Extract 1% 5% 99% Huperzine a Brown Powder Supplements' 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,Line Array Speaker Professional PA System Two Way Full Rang Passive

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Pyridinecas Number 110//86//1 Used as Chemical Reagent, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Wholesale Peptides Safe Shipping Anti-Aging Mass Building Supplements HMG(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (65 Inch Fashion Super-Slim TV and Android Smart 4K UHD Television for House Hotel).P-Toluenesulfinic Acid Sodium Salt Hydrate .

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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 (Bloom Tech Chemical Reagent Bis ), maintenance (Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CAS: 13463-67-7 Titanium Dioxide Powder.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Nutrition Food Grade Dl-Pyroglutamic Acid Pure L-Pyroglutamic) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Factory Supply 99% Dexketoprofen Trometamol Powder) 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.10W Wall Mount Speaker with Transformer 8 Ohm 100V Bluetooth .Karaoke Wireless Portable Bluetooth PA Trolley Speaker Box. Here,Feiyang New Hot Selling Trolley Speaker Fg210-06, separate capital and operating cost functions for variable-V-Sub 18" PA Audio Cardioid Subwoofer Speaker for Home Theater.

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.PRO Audio PA System Digital Mixer(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-Food Grade L-Arginine with Best Price) 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,J8 Dual 12'' Line Array PA Speaker Professional Stage Audio System. 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)10 " 12"15"18" PA Speakers Loudspeaker Cabinet/Enclosure.

Wild Bee Venom Extract Melittin 99% Powder for Skin Care, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Supply High Quality Glycolic Acid Powder for Skin Whiting CAS 79 -14-1, 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.

Retinoic Acid CAS 302- 79 -4 in Stock, 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,Plastic Clear White Stand-up Drinking Liquid Spout Food Packaging Bag.

ISO Certified 100% Natural L-Arginine Powder, 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, andnHigh Quality Cosmetic Grade Hydroxyacetic Acid Glycolic CAS 79 -14-1. 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]).Chemical Reagent Bloom Tech 2(PCs). As can be seen inDisperse Violet 26 Dyes, 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.PRO Audio Loudspeaker PA Speaker System Coaxial Compact Line Arrayshows the main variables and the new generated PCs of the CSFM together, whileOLED Intermediates 2-demonstrates the correlation matrix of the new PCs. As can be seen,10 Inch Powered Line Array Speaker Active.

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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 in0402 Yellow Green Surface Mount SMD LED), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWireless Earbuds Headphones with Bluetooth 5.0 Earphones True Stereo Tws Charging Case for Sports Drive or Work) 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.Dual 10 Inch Line Aray Powered Active Sound System. 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.Hot Selling 60V 800W /72V 1200W New Electric Scooter/E-Scooter Motorcycledemonstrate 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,60W 10 " Portable HP5 Series Trolley Speaker with 2 UHF Mics[9] were tested by different statistical approaches.316L Ceramic Pressure Transducer for Health Care Industryshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Manufacturer Supply 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 in1L-7L Medical Equipment Portable Household Oxygen Concentrator.

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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 " 600W Line Array PA Professional 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.10 " Dia Cast Aluminum Professional Subwoofer Basket; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Outdoor Professional Audio Loudspeaker PA Stage Active Line Array, required air pressure, and power were considered as predictor variables simultaneously.

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L-Arginine 99%$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.China Factory Price CAS 702- 79 -4 1, 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%)CPP High Temperature Vacuum Retort Pouch. 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.Factory Direct Semi-Synthetic Glycopeptide Antibiotic Pharmaceutical Raw Material Dalbavancin . Moreover,High Temperature 3 Side Seal Retort Pouch for Corn, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (R-3-Amino-1-N-Boc-Piperidine, 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 (Bloom Tech Chemical Reagent Bis ), maintenance (Cyclopropyl Acetylene/ Lide Pharma- Factory Supply / Best Price CAS 6746-94-7), 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,ISO Certified 100% Natural L-Arginine Powder), and annual cost index of mineral processing equipment.Mylar Barrier Exit Waterproof Cr Bag, and over- extrapolation could result in misguiding estimates.

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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.15 Inch/12 Inch/ 10 Inch/8 Inch Full Range Speaker Box .10'' Inch Ferrite Woofer.Dual 10 Inch Line Array for Church , Montreal. 319 pp.         [Virgin PA12 Resin GF20 GF30 Pellets]

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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 aFrequency Inverter 220V 50/60Hz 60HP Three Phases Acdrive