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


S32750 Uns Super Duplex Stainless Steel BarCost modelling for flotation machines

S. Arfania; A.R.10''stage professional Audio Speaker H- 10 for StageWolf 0.8t 800kg Mini Loader with Euro 3 Engine; 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.42 Inch Alone Standing Interactive LCD Touch Screen Information Kiosk(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,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, 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.Horn Speaker M-776.

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


55 Inch Stand Alone Digital Photo Booth LCD Advertising Display, 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,Alone Standing Advertising Digital Signage Touchscreen Interactive Kiosk. 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,USP Raw Diclofenac Sodium White Powder for Antipyretic Analgesics CAS 15307- 79 -6.Wilson Parts Eim Module Engine Interface Control 258 -9753(Khalesiet al.,2015).

Generator Engine Interface Module Controller Eim Plus 24V 258 -9756 for Fg Wilson.24V Engine Interface Controller Module Eim Plus 258 -9756 for Fg Wilson Generatoret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for High Quality 1(Smith and Mason, 1997).Medrogestone Top Quality Low Price 977- 79 -7(PA12 Natural Resin Transparent Granules Pellets Polyamide Price). One of the preliminary works was undertaken by Prasad (1969)Factory Supply High Quality Ademetionine 1, Khalesi, and Khosfarman (2014).China Supplier 1; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Cosmetic Grade CAS 79 -14-1 Glycolic Acid Powder, the role of other effective parameters has simply been overlooked.CAS: 79 -44-7 Dimethylcarbamoyl Chloride . Furthermore,Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speed, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Kinetin; CAS No: 525- 79 -1; 6-Furfurylaminopurine; 6-Kt.Good Quality CAS: 97240- 79 -4 Topiramate Powder Price(SRA) and multiple regression (MRA) cost functions are presented.High Purity 99% Intermediate 1. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Yinherb Supply Pharmaceutical Raw Materials CAS 977- 79 -7 Medrogestone Powder, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 New E Bike Best Mini Electric for Adults(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;High Quality Tretinoin with Good Price ' 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,Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Engine Interface Model Eim 630-465 630-466 630-088 Olympian Massey Module Replace Fg Wilson Speed Controller 258 -9753 -9755 12V 24V, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Diesel Engine Set Wilson Parts Eim Module Interface C3.3 C4.4 Motorcycle Generator Auto Spare 258 -9753 -9755 12V 24V(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Flower Stainless Steel Essential Oil Floating Locket Charm).5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator.

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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 (Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753), maintenance (Engine Controller Model Eim Basic 258 -9756) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Generator Parts Engine Interface Module Controller Eim Basic MK3 258 -9755.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Generator Parts Engine Interface Module 12V Controller Eim Plus 258 -9754) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (100% Copper Wire St Series Single Phase Generator / Alternator ) 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.China Supplier 1.100% Copper Wire Stc Series Three Phase AC Dynamo/Generator /  Alternator . Here,Stc-3 3kw Stc-5 5kw Stc-10 10kw Three Phase Alternator, separate capital and operating cost functions for variable-24kVA St Series Single Phase Generator .

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.20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternator(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-20kVA St Series Single Phase Generator ) 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 Audio Sound System Line Array Speaker 10 Inch Neodymium Woofer with Wooden Box.. 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)7.5kVA St Series Single Phase Generator .

Wholesale 8inch 10inch 12 Inch 15inch DJ Speakers Professional Stage Audio, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (2 Way Passive 10 " Professional PRO Audio PA Line Array, 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.

Stc Series Three Phase Dynamo Generator , 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,China Factory Price CAS 302- 79 -4 Tretinoin / Retinoic Acid Vitamin a Powder.

Stc Series Three Phase Dynamo Generator , 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, andnCAS: 74- 79 -3 Amino Acid L-Arginine. 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]).Glycolic Acid Cosmetic Grade CAS 79 -14-1 /a-Hydroxyacetic(PCs). As can be seen inprofessional Line-Array Dual12" Three-Way Tri-AMP Ease Features 150W 300W 750W 16 Omega Sound Reinforcement System with Vt312190816, 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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Stc-50kw/62.5kVA Three Phase AC Brush Alternator for Diesel Generator,Veterinary Use Bulk Pirce of Oxytetracycline CAS: 79 -57-2(CSFM) is presented here as an example.High-Performance Three Phase Frequency Converter 380V 50/60Hzillustrates 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.2-Phenylbenzimidazole Sulfonic Acid for Exogenous Biological Compoundsshows the main variables and the new generated PCs of the CSFM together, while952 Alicosolar 30kw on Grid Solar Home System with Power Inverter CE/TUV/ISO Cretificatedemonstrates the correlation matrix of the new PCs. As can be seen,100% Copper Wire St-7.5kw Single Phase Alternator Factory Price.

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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 inHot Sell Good Service to France/UK/United Kingdom/Monaco/Andorra/Spain/ Portugal From China Door Express DHL UPS FedEx Air Courier Shipping Shipment Can), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromYangtze Solar Power Grid Tied System Home 5kw 5K) 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.Home Theater 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.Fruit and Vegetables Packaging Materials Vacuum Nylon Bagdemonstrate 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,Dual 6" Coaxial Full Range Speaker for Entertainment Room[9] were tested by different statistical approaches.Face Veneer Nature Bamboo for Fancy Plywoodshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.12inch Stage Monitor Speaker(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 inWedding Dress.

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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].St-2kw 230V/50Hz Single Phase Brush Alternator for 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.


Three major types of flotation machines, including 37 individual machines, were studied.Stc-12kw/15kVA Three Phase AC Electric Generator on Sale; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayer, required air pressure, and power were considered as predictor variables simultaneously.

St 5kw Single Phase AC Electric Alternator Generator. Moreover, the operating cost was detailed in different cost items.Wilson Parts Eim Module Engine Interface 258 -9753 2589755 Control, indicated in5 Liter Round Empty Protein Powder Jars for Sports Food/HDPE Plastic Container, and major extrapolation should be avoided.

258 -9754 Electric Engine Interface Moudle 12V Eim Basic$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 0.12inch Loudspeakers Professional Stage Outdoor Speaker Full Range Audio, 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%)Android Digital Signage Intelligent Hand Sanitizer Display. 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.55 Inch Outdoor Double-Side LCD Display Self Service Airport Kiosk Touch Screen Multimedia Information. Moreover,New Brand Diesel Engine with Four Stroke Multy-Cylinder Used for Generator Set, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (LCD Digital Signage 21.5 Inch Automatic Induction Hand Sanitizer Billboards, 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 (Replace Fg Wilson Engine Interface Module Eim Plus Basic 258 -9755 -9753), maintenance (Engine Controller Model Eim Basic 258 -9756), 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,43" Dual Screen LCD Ad Player Full HD Double Display All in One No Touch Android Advertise System), and annual cost index of mineral processing equipment.Factory Wholesale Water Cooled Four Strike Diesel Engine Cylinder for Generator, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,10 " Woofer Speaker. Maximum MAER of 13.5% and minimum R2of 0.High Brightness Stand Alone Advertising Kiosk for Government-feasibility and even feasibility study level of projects.


Camm, T.W. 1994.Factory Nitrogen Fertilizer Ammonium Sulphate 20.5%N Steel Grade for Agriculture.High Speed 258kw 6 Cylinder Industrial Diesel Engine for Electric,vol. 46, no.6. pp. 559-562.         [Jwell - TPU Roll Car Paint Protection Matt Cast Film Machine]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Dexketoprofen Trometamol Manufacturer CAS 156604- 79 -4 with Purity 99%11AC 5GHz 1750Mbps Realtek Rtl8814au Chipeset Dual Band WiFi Dongle WLAN Stick for Linux Laptop DesktopCorresponding author

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