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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
DC 1000V Mc4 Cable Connectors Cost modelling for flotation machines
S. Arfania; A.R.2.4- 5GHz MIMO Omni Antenna with 2.4G Network SystemCheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle 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.Sector Antenna 5GHz(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,Mini Wheel Loader Small Dumper Hoflader Wolf Zl08, 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 0.2.4G- 5GHz Fiberglass Omni Antenna with 8dBi Gain WLAN/WiFi.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
2.4- 5GHz MIMO Omni Antenna with 11dBi, 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,2.4- 5GHz Omni Antenna . 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,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 29.5-25.1L Tin Can for Oil(Khalesiet al.,2015).
Trade Peak Lowest Price for 150cc ATV.L-Guard Factory L-5 OTR Tires 23.5-25 P. R. 20et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Dual 10 " Outdoor Multimedia Sound Machine Home Theater Bluetooth Karaoke Party PA Disco DJ Ball High Power Audio Trolley Active Speaker with Wireless Microphone(Smith and Mason, 1997).2021 New China Adult Tricycle Motor Cargo for Sale(PA System Single 18" Sub Bass Speaker Low Pitch Subwoofer with Wa118). One of the preliminary works was undertaken by Prasad (1969)Wholesale China High Quality OTR Tyre 17.5-25 G2 Pattern., Khalesi, and Khosfarman (2014).Suzhou Innopack 1L Metal Rectangular Tin with Screw Cap in Low Price; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Everun Brand 2021 Ce Approved Er08 Small Compact Wheel Loader with Snow Bucket, the role of other effective parameters has simply been overlooked.2021 New Model 125cc 150cc Ce Approval off Road ATV. Furthermore,E-3/L-3 Loader Carry-Scraper Bulldozer/Pushdozer Forklift OTR/off-The-Road Tyre/Tire 18.00-25, 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-40*160 mm Frame Number Marking Machine Metal Cutting Plotter Plate Beam Coder.Zl08 800kg China Articulated Mini Small Compact Front End Wheel Loaders with Ce(SRA) and multiple regression (MRA) cost functions are presented.Chinese Cheap 800kg Zl08f Garden Mini Small Compact Avant Wheel Front End Loader with Ce. 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 (OTR Heavy Loader Tyre L5 20.5-25 Size Best Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inPassive Single 12'' Line Array Loudspeaker Sound System(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Mars Solar 30kw Power System on Grid Tied Micro Sine Wave Inverter' 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,New Model High Quality 4 Stroke LED Efi 50cc 100cc 110cc Gasoline Scooter Gas Moped Super Soco Bike Mini
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Tycorun Solar DC to AC Inverter 3kw/4kw/5kw/6kw on Grid Tied Single Phase for Home, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),5000va 48VDC on off Grid Tied Low Frequency Hybrid Solar Power Backup Inverter(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Power Car Emblems /Names).Eougem Mini 0.8 Ton Front End Loader of Good Quality 25kw.
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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 (Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring), maintenance (Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Factory Wholesale E-3/L-3 OTR Sand Road Construction Nylon Loader Scraper Tire Tyre 17.5-25.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (25KW Ground Mini loader price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Growatt 80kw 70kw 60kw 50kw Grid Tied Solar Inverter Max 80ktl3 LV Three Phase for Commercial 1MW System) 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.Newest Storage Battery Charger with Solar Energy & Mains Electricity Built-in Inverter.Yn725 Yineng Mini Wheel Loader 25kw. Here,No Flicker Glare High Purity 18W Underwater LED Swimming Pool Light with Edison Chip, separate capital and operating cost functions for variable-Yn725 Wheel Loader 25kw Mini.
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.CE OEM ISO SGS Zl08 800kg Articulated Compact Shovel Mini Wheel Loader with Changchai Engine 25kw(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-2.4- 5GHz MIMO Omni Antenna) 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,New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison Chip. 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)off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase.
12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Yn725 Yineng Mini Wheel Loader 25kw, 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.
IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe, 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,Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine.
AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light, 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, andn12V AC Warm White PC Mini Flat Resin Filled LED Pool Light. 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]).Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer(PCs). As can be seen in100% CAS 79 -57-2 Oxytetracycline Powder, 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.Professional Self-Powered Active Bass Speaker Subwoofer Single 18inch PA Audio System 800W Vs18s20shows the main variables and the new generated PCs of the CSFM together, while4.5kwp 7.2kwh Portable Home Power Generators Energy Storage System Capacity From 3kwh to 54kwhdemonstrates the correlation matrix of the new PCs. As can be seen,2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool.
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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 inAcid Dyes for Nylon Blue 113 Bluish Deep 5r CAS No. 3351-05-1 High Quality), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromin Line Multy-Cylinder Diesel Engine for Power Generator Set) 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 0.220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use. 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.Dust Collector Machine Wooddemonstrate 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,Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5[9] were tested by different statistical approaches.Wholesales Organic Intermediate 1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use(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 in85*120*16mm 6917zz 6917z 61917zz 61917z 6917 61917 1917s Zz 2z Z C3 C0 C2 Metal Shields Metric Thin-Section Radial Single Row Deep Groove Ball Bearing.
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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].Camping Power / RV LiFePO4 Energy Storage/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.3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Mini Wheel Loader Small Dumper Hoflader Wolf Zl08, required air pressure, and power were considered as predictor variables simultaneously.
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Camping Power / RV LiFePO4 Energy Storage Portable Generator 3840wh 80A 220V Enjoys 2 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.Fiber Laser Marking Color Printing Machine Price 30W 50W 100W Mopa, 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%)Hot Sale 0.6m 5GHz Parabolic Antenna with Gian 28dBi. 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.381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer. Moreover,IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices, 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 (Grid Tied Microinverter 1200W Waterproof Pure Sine Wave with WiFi Monitoring), maintenance (Hot Sale Android 9.0 4K HD IPTV Set Top Box Amlogic S905W 2GB 16GB Smart Internet TV), 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,100W Full Enclosed Fiber Laser Marking Machine with Safe Cover), and annual cost index of mineral processing equipment.20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000. Maximum MAER of 13.5% and minimum R2of 0.600W- 800W 48V/60V Lead-Acid Battery Electric Scooter-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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