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On-line version ISSN2411-9717
Print version ISSN2225-6253
J. S. Afr. Inst. Min. Metall. vol.117 n.1 Johannesburg Jan. 2017
http://dx.doi.org/10.17159/2411-9717/2017/v117n1a13Â
GENERAL PAPERS
Hot Sale China Mini Wheel Loader Small Front Compact for with Sand SpreaderCost modelling for flotation machines
S. Arfania; A.R.DC 1000V Mc4 Cable Connectors One and Half Rows Three Wheeler for Sale; M.R. Khalesi
Tarbiat Modares University, Iran
SYNOPSIS
Flotation is one of the most widely used operations in mineral processing plants and assumes a significant share of the total milling costs.2021 New Design 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports(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,12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion, 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 0.15kw Solar Inverter Grid Tied.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Dsola Cheap Wholesale Multi Contact Mc4 Solar Connector Diode, 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,China Famous Brand Hr912 Shovel Loader for Agriculture Working. 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,Tanfon 5kVA off Grid Solar Inverter Tied /off Grid/Hybrid System.25kw engine garden/farm/ construction 0.8ton front end backhoe wheel loader(Khalesiet al.,2015).
Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverter.China Factory Lithium 150ah Battery with BMS AC Outputet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 1HP Frequency Converter Vector Three Phase(Smith and Mason, 1997).Intelligent Power Saver for Industry Use(1g 1/8oz 1/4oz 1/2oz 1oz Custom Aluminum Foil Laminated Mylar Ziplock Food Packaging Pouch Plastic Film Bags for Mmj Gummy Bears Exit Container). One of the preliminary works was undertaken by Prasad (1969)CE Approved Wolf Wl80 Zl08 Mini Wheel Loader for Farm, Khalesi, and Khosfarman (2014).Steel Copper Aluminum Iron DOT Peen Marking Machine with Rotary; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty, the role of other effective parameters has simply been overlooked.Made in China Strong Compact Mini Front Loader . Furthermore,2021 Best Selling 500W Electric Moped E Bike Bicycle with Pedals, 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-Manufacture 20W Fiber Laser Marking Machine for Engraving.3kw Air-Cooled UHF Digital TV Transmitter DTV(SRA) and multiple regression (MRA) cost functions are presented.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports. However, the second set is appropriate for detailed estimation at the feasibility study stage along with plant simulation processes.
Methodology
Data
Thirty-seven major flotation machines (Wholesale High Performance Metal Mc4 Connector, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inRetro Electric Motorcycle Scooter (InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;No Flicker Glare High Purity RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Edison Chip' 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,1L Empty Round Edilbe Cooking Oil Metal Tin
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,2021 Set Top Box Global Version S922X TV Smart HD Android 9.0 Internet 8K, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Max Source Fiber Machine Laser Marking for Vin Number(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High Quality Outdoor Decoration Laser Garden Christmas Projector Lights).1L Custom Round Small Metal Empty Tin Cans with Lids.
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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 (2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty), maintenance (500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,1L Microstome Metal Drum Customization Printing Logo.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (1L Metal Tin Cans with Lid for Paint or Chemical) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Free Sample 5GHz Antenna Rubber Gain) 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.Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module .1L Printed Round Metal Paint Tin Can with Lid. Here,4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box, separate capital and operating cost functions for variable-38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad.
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.Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid(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-High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty) 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,E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw. 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)Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner.
Erbium-Doped Fiber Amplifier Optical Power Adjustable , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Dirt Bike for 199 Cc Displacement, 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.
Sab-500 Ophthalmic a/B Scanner, 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,[Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h.
200cc Reverse Wholesale Motor Light Three Wheel Motorcycle , 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, andnIndustrial Energy Saving Device Made in China. 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]).150cc Enclosed Gasoline Motorized Cargo Trike with Box (PCs). As can be seen in67-63-0 Pharmaceutical Intermediates Isopropyl Alcohol 99.9% / Isopropanol 99.9%/ Ipa, 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]:
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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Power Saver Box Energy,Power Saver Energy Saving Device(CSFM) is presented here as an example.Professional Speaker System Single 10 Inch 300W Mini Stage Monitor PS10r2illustrates 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.Three-Way Bi-AMP Coaxial Point Source Professional Column Loudspeaker 75W 400W 800Wshows the main variables and the new generated PCs of the CSFM together, whileFree Sample Organic Chemicals 1demonstrates the correlation matrix of the new PCs. As can be seen,Power Saver for Industrial .
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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 inASTM A283 Grade D ASME SA 283 SA283 Gr. GR Tube Sheets Deflectors Suppprt Plates Pipe Sheet SA-283/SA-283M GR. Gr-D -D), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBest Factory China Environmentally Friendly 800W CE Certification Electric Motorcycle for Adult) 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.
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.Industry Saveing Box . 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.Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/Gdemonstrate 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,Motorcyle with Bore * Stroke 66*58.2 mm[9] were tested by different statistical approaches.Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electricity Saving Device 600amp (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 inChina Customized Drilled ND and PCD Die /Polycrystalline Supported Wire Drawing /Supported Diamond.
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Cost model for variable-250cc Motor Cabin Tricycle Cargo with Canopy
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].Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price/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.
Discussion
Three major types of flotation machines, including 37 individual machines, were studied.Flexible Label Laser Marking Machine; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,12V/24V/48V/60V/72V/96V LiFePO4 Battery 40ah/50ah/60ah/100ah/200ah Lithium Ion, required air pressure, and power were considered as predictor variables simultaneously.
Flying Laser Marking System Marker. Moreover, the operating cost was detailed in different cost items.800W Color Fashion Electric Motorcycle, indicated in2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, and major extrapolation should be avoided.
20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine$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.Label Marking Equipment Laser Machine for Car Body Labels, 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%)Electric Bike 800W ODM Mountain Ebike with Powerful Motor. In the MRA cases, this property is owed to the SFM (3.05%).
Conclusion
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.Latest Electric Scooter 800W Citycoco. Moreover,16/24 Channel RF Combiner Passive Mixer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (150cc Cheap Open Gas Reverse Trike , 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 (2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty), maintenance (500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo ), 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,Sport Using Motor Vehicle with Sealed Chain Final Drive), and annual cost index of mineral processing equipment.GS-a 12mm CATV Fixed RF Attenuator, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale. Maximum MAER of 13.5% and minimum R2of 0.Automatic High Effective Medical Ultrasound Bone Densitometer -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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