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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
Professional Audio Loudspeaker V20 PA Speaker Vtx V25 PRO Line Array S25 G28 Powerful SubwooferCost modelling for flotation machines
S. Arfania; A.R.4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media18" Die Cast P-Auido Style Aluminum Frame; 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.220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use(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,Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5, 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 0.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh, 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,Camping Power / RV LiFePO4 Energy Storage. 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,3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate.Flying Online Fiber Laser Marking Machine with Conveyor Belt(Khalesiet al.,2015).
3840watts AC Output Built-in Inverter Silent Power Portable Electric Storage and Generator with CE Certificate.Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 Years Warrantyet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Glue E1 Carb Plain Mositure-Proof MDF(Smith and Mason, 1997).Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa(800W Sine Wave Water-Proof Controller Electric Scooter/Electric Motorcycle). One of the preliminary works was undertaken by Prasad (1969)Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi, Khalesi, and Khosfarman (2014).381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer, the role of other effective parameters has simply been overlooked.CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices. Furthermore,100W Full Enclosed Fiber Laser Marking Machine with Safe Cover, 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-20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser.for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000(SRA) and multiple regression (MRA) cost functions are presented.600W- 800W 48V/60V Lead-Acid Battery Electric Scooter. 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 (Best Selling Electric Scooter Mini 800W , 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inWhite Crystalline Powder Tiletamine HCl Bulk Price 14176-50-2 USA Veterinary Anesthetic(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;150cc Automatic Racing Sports Exclusive Design ATV ' 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,2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),3kw Liquid Cooling UHF Digital TV Transmitter DTV(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (High-Definition Automatic Fundus Camera Ophthalmic Optical Equipment Mslafc01).He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter.
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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 (IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner), maintenance (Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Bi-Directional Transmission Distribution Amplifier SA822.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Encryption Ts Satellite IRD) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods) 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.Hy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike.2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad. Here,Closed Canvas Box 2 Ton Cargo Tricycle, separate capital and operating cost functions for variable-Sanyou 125cc Efi System with Delivery Box Gas Scooter.
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.New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle(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-28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale) 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,250cc Oil Cooling Dirt Bike with EPA. 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)Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter.
250cc Gasoline off Road Motorbike, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (0.6m 5GHz Parabolic Antenna with Gain 28dBi, 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.
Wholesale 90cc 110cc 125cc 150cc off Road Gasoline Go Cart, 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,150cc 200cc 250cc ATV Quad Bike for Adults.
4 Stroke Buggy 150cc ATV, 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 Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Lamp with Ce RoHS. 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]).The Newest 110cc 125cc 150cc Toyota Mini Buggy (PCs). As can be seen inChin Top Supplier Supply L- , 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 Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty,0.4m 5GHz Parabolic Antenna with Gain 23dBi(CSFM) is presented here as an example.10W Tabletop Series Fiber Laser Marking Machineillustrates 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.Indoor DJ Stage Two Way Active Line Array Cabinet Boxshows the main variables and the new generated PCs of the CSFM together, whileEnergy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warrantydemonstrates the correlation matrix of the new PCs. As can be seen,Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on 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 inFreezing Warehouse Restaurant Cold Room), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromFood Additives L-Arginine with Low Price) 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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light. 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.Rosen 7kw Grid Tied on Solar Panel Systemdemonstrate 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,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on[9] were tested by different statistical approaches.Zl08 Mini Small Garden Farm Tractors Compact Front End Wheel Loadershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.New Mini Willys Jeep Available on 110cc(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 inWholesale Can Be Customized Knitted Design Coffee Mug Mkb251.
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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].12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty/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.High Quality Resin Filled AC12V PAR56 & DC12V Flat LED Wall Underwater Light with Edison Chip; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5, required air pressure, and power were considered as predictor variables simultaneously.
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Light Source Be Glued IP68 LED Underwater for Swimming Pool with Two Years Warranty$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.IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Underwater Pool Light with Edison Chip, 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%)2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Two Years Warranty. 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.5kw Grid Tied Solar Inverter Three Phase for Home Use. Moreover,High Quality Solar PV Grid- Tied Inverters, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (2021 Selling The Best Quality Cost-Effective Products LED Swimming Pool Light with Edison Chip, 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 (IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner), maintenance (Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module ), 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,Electric Portable Truck Car Frame Beam Metal Coding Machine Pneumatic Marking Sw-P), and annual cost index of mineral processing equipment.2 Ton Loader 3 Wheel Cargo Tricycle, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Grid Tied Inverter 3kw. Maximum MAER of 13.5% and minimum R2of 0.5kw Solar PV Kit Power Gird Tied Inverter-feasibility and even feasibility study level of projects.
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0.6m 5GHz Parabolic Antenna with Gain 28dBi, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Precision and Fast Speed Nonmetal CO2 Laser Marking Machine.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [High-Performance Variable Frequency Inverter 3-Phase 380V]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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