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


PA Horn Loaded Speaker Professional LoudspeakerCost modelling for flotation machines

S. Arfania; A.R.Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced PlywoodNew Design Stretch Mark Removal Beauty Machines; 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.China Hot Sale Frequency Converter/Inverter 380V 50/60Hz(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,Residential Grid Tied 6kw Solar Power System for Home, 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.Best Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult.

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


Good Quality Factory Directly Electric Motorcycle 800W 1000W 60V for Adults, 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,on Grid Solar Panel System 30kw Tied Home Power. 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,Tractor loader/ mini loader with four wheels for loading.2021 60V 20ah EEC Motorcycle Electric Moped Scooter 500/ 800W Motorbike(Khalesiet al.,2015).

Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Sale.Newest Hot Sale Cheap Chinese Modern Self Balancing Mobility Adult Lithium Battery 800W Electric Motorcycles Scooterset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Portable Manufacturer 150ah 3kwh LiFePO4 Battery for UPS Lighting(Smith and Mason, 1997).Three Phase Frequency Inverter Made in China Hot Sale(Natural Wood Sapele Veneer Plywood for Furniture Grade). One of the preliminary works was undertaken by Prasad (1969)0.8ton mini wheel loader with small bucket for multifunctional use, Khalesi, and Khosfarman (2014).Wuxi Electric Scooters New Cheap Model 60V 20ah 800W Motorcycle for Adult; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,2 Wheel Electric Motorcycle with Lead Battery, the role of other effective parameters has simply been overlooked.Solar Panel System 20kw Grid Tied Power for Home. Furthermore,5kw Solar-Diesel Generation Hybrid Grid- Tied Power System, and estimation of detailed operating cost items such as maintenance, lubrication, not possible. To overcome these deficiencies, this paper aims to introduce up-to-Global Certificated 30kw Grid Tied Solar Power System for Commercial Projects.2852 Alicosolar Solar Energy System 10kw 5kw Power Home 15kw Grid Tied(SRA) and multiple regression (MRA) cost functions are presented.Cheap Commercial Plywood for Construction Decoration and Furniture Use. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.



Thirty-seven major flotation machines (Kodi TV Box Fully Loaded Chrome Android 9.1 OS T95 Max H6 4G 32g Internet Satellite, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Solar Panel System 20kw Grid Tied Home Power 20 Kw Energy' 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,220VDC to 220VAC Variable Frequency Inverter

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Solar Pump Inverter 1.5kw AC Drive Frequency Welding Machine, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Electrical VFD Frequency Inverter Three Phase 220V 380V 7.5/11kw for Solar Pump(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Kids Toy of Stuffed Santa Clause for Christmas Promotion).Yn725 Yineng Mini Wheel Loader 18.5kw Cabin.

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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 (380V 400Hz 3p AC Drive Hot 15kw Frequency Converter), maintenance (Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3 Phase Mini AC DC Frequency Inverter Motor Speed Controller Power Supply 5.5kw-110kw.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (VFD Frequency Converter Inverter for Constant Pressure Water Supply) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (AC Drive Solar Pump Inverter 220V 380V Three Phase Inverters) 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.7.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump.large cabin and powerful engine Customized 0.8ton mini wheel loader. Here,Qingzhou 0.8ton Shovel Loader Small Front with Bucket for Sale, separate capital and operating cost functions for variable-Eougem 0.8ton Articulated Payloader Zl08 with Changchai Engine.

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.AL908 0.8ton Wheel Loader Machinery for Sale(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-Chinese Everun Zl08 800kg 0.8 Ton Compact Small Mini Wheel Loader with Snow Bucket) 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,800kg China Small Front High Quality Wheel Loader for Sale in Europe. 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)Melamine Glue WBP Commerical Plywood.

Decorative Pine Groove Plywood Veneer Fancy, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (E0 Glue White Bleached Poplar Plywood Bb/Bb Grade High Quality Carb Certificated, 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.

18mm Brown Film Faced Finger Jointed Plywood for Concrete Formwork, 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,18mm Embossed Melamine Faced Commercial Plywood for Furniture Making.

Filmfaced Plywood with High Quality and Cheap Price, 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, andn9mm E1 Glue Bintangor Plywood Board. 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]).E0 12mm Good Quality Melamine Laminated Plywood for Furniture Produce/Baby Room(PCs). As can be seen inPolyamide Fabric PA, 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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AC Drive,Hot Sale 60V 800W Brushless Motor Two Wheel Electric Motorcycle(CSFM) is presented here as an example.Diesel Engine Eim630-465 12V Eim630-466 24V 258 -9755 PCB650-091 650-092 Generator PCB Controller Panel Circuit Board Interface Module Speedillustrates 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.CAS 79 -14-1 Glycolic Acid 70%shows the main variables and the new generated PCs of the CSFM together, whileExcellent Quality CAS No.: 63428-84-2 Polyamide PA Resin for Untreated Film Sunmidedemonstrates the correlation matrix of the new PCs. As can be seen,Sell Well 800W 60V Electric Motorcycle for Daily Riding.

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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 inSKF NTN NSK IKO Timken Koyo NACHI Auto Deep Groove Ball Bearing-6203 6204 6205 6206 6304 6305 6306 6007 6006), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty) 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 0.15kw Grid Tied Solar 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.Professional Stage Line Array System Dual 10'' Speakerdemonstrate 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,Rosen 8kw Grid Tied on Solar Panel System[9] were tested by different statistical approaches.2021 New Modern Design Living Room Leather Sofashows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump(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 inInfrared 7 Color Mask Light Therapy Acne.

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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].Grid Tied 11kw Solar Panel System Home Commercial Power Supply/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.5kw Grid Tied Solar Power System for Home Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Residential Grid Tied 6kw Solar Power System for Home, required air pressure, and power were considered as predictor variables simultaneously.

12kw Grid Tied Solar System. Moreover, the operating cost was detailed in different cost items.Chinese Frequency AC Drive Pure Sine Wave Inverter Mini Water Pump Motor Controller, indicated inAndroid Digital Signage Intelligent Hand Sanitizer Display, and major extrapolation should be avoided.

200cc/300cc Adults Racing Go Kart for Sale Ce Certificate$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.Water Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, 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%)0.4kw 0.5HP Elevator Inverter Price Electronics 220V 240V Three Phase Pump. 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.Jarol Strong Overload Capacity AC Drive Frequency Inverter . Moreover,China Pumping AC Variable Frequency Drive Solar Pump Inverter for Submersible, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Sporty Electric Scooter , 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 (380V 400Hz 3p AC Drive Hot 15kw Frequency Converter), maintenance (Single Phase Input and Output 220V Able 640 Static Frequency Converter 400Hz), 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,SMD3014/2835 AC/DC Underwater LED Swimming Pool Light), and annual cost index of mineral processing equipment.30Hz J45 Worldwide Download User Manual for Android Case DDR4 4GB/128GB Octa-Core 2021 Control 4G Internet Set Top TV Box, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Best Selling 4X4 Farm ATV. Maximum MAER of 13.5% and minimum R2of 0.Cheap Racing Go Kart for Sale 200cc Water Cooled Zyao-feasibility and even feasibility study level of projects.


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Khalesi, M. R., Zarei, M. J.,Linyi 9mm/12mm/15mm/18mm Pine/Bintangor/Okoume Film Faced Plywood, A. R., Khoshnam, F., and Chegeni, M. H. 2015. Development of a techno-Amlogic Chipset S905X2 Quad Core Android8.1 4K Smart Internet TV Box T95q.Minerals Engineering,vol. 81. pp. 103-108.         [China Ethyl 2-Bromovalerate Liquid CAS 615-83-8]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Polymer Science 2-Phenylbenzimidazole CAS 16- 79 -0Chemical Factory Sale Ammonium Sulphate Fertilizer GranularCorresponding author

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