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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
Three Heads Woodworking Machine Atc CNC RouterCost modelling for flotation machines
S. Arfania; A.R.New Style Underwater IP68 Waterproof Wall Mounted LED Swimming Pool Light with Edison ChipChina Everun Er408 Small Loader Compact with Pallet Forks; 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.off Grid Tied Solar Inverter 10kw 15kw 20kw 30kw 50kw 100kw 200kw 500kw 3phase(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 DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, 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.Yn725 Yineng Mini Wheel Loader 25kw.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
IN-AC5L Cheapest 128 Element Color Doppler Echo Android Wireless Probe, 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,Factory Sale Big Pickup Tricycle with 300cc Water Cooled Engine. 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,AC12V RGB Mini PC Resin Filled Wall Mounted LED Swimming Pool Light.12V AC Warm White PC Mini Flat Resin Filled LED Pool Light(Khalesiet al.,2015).
Medical Equipment Portable Automatic High Effective Ultrasound Bone Densitometer.No Flicker Glare 18W 12V Resin Filled Flat LED Swimming Pool Underwater Light with Edison Chipet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Manufacturers Supply Top Quality High Purity Bupivacaine Powder with Best Price CAS: 14252-80-3(Smith and Mason, 1997).220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh for Appliances Rated Power Under 1500W Outdoor & Indoor Use(Professional Dual 10 " 3-Way Tri-AMP Line Array Speaker). One of the preliminary works was undertaken by Prasad (1969)Genuine ATSC DVB-S2 Internet TV Receiver Zgemma H3. AC for Mexico USA Canada Market, Khalesi, and Khosfarman (2014).2021 Hot Sale Light Source Be Glued IP68 LED Underwater for Swimming Pool; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,4GB32GB 4K Android TV Box Digital Display T95X2 with Amlogic S905X2 Internet Quad Core CPU Media, the role of other effective parameters has simply been overlooked.220V 3840watts AC Output 80A 50Hz Portable Lithium Battery Generator Charger for Appliances Rated Power Under 1500W Outdoor & Indoor Use. Furthermore,Laptop Battery for DELL Latitude E7270 E7470 R1V85 Mc34y 0mc34y 451-Bbsx J60j5, 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-220V 80A 50Hz Portable Lithium Battery Generator Charger with 3.8kwh Charging Appliances Rated Power Under 1500W Outdoor & Indoor Use.Solar & Mains Storage Battery Charger with Inverter to 80AC 3840wh(SRA) and multiple regression (MRA) cost functions are presented.Camping Power / RV LiFePO4 Energy Storage. 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 (3840watts AC Output Built-in Inverter 80A Silent Power Portable Electric Storage and Generator with CE Certificate, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFactory Direct Sale Grid Tied Solar Power System on 1000wp 5000wp 10000wp for Wholesale(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Flying Online Fiber Laser Marking Machine with Conveyor Belt' 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,381323 80mAh 3.7V Battery for Earphone Campact Lithium Polymer
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,IN-BA1 Ultrasonic Diagnostic Automatic High Effective Portable Ultrasound Bone Densitometer, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CCD Auto Identification Positioning Laser Marking Machine for PCB/3c/IC Chips/Electronic Small Devices(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Christmas Pillow Plush Baby Santa Claus Five-Pointed Star Toys).100W Full Enclosed Fiber Laser Marking Machine with Safe Cover.
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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 (20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser), maintenance (for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,600W- 800W 48V/60V Lead-Acid Battery Electric Scooter.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Best Selling Electric Scooter Mini 800W ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (150cc Automatic Racing Sports Exclusive Design ATV ) 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.High Quality Cheap 200cc and 150cc Farm Utility ATV.1GHz Outdoor Bi-Directional CATV Amplifier. Here,New Mini Willys Jeep Available on 110cc, separate capital and operating cost functions for variable-Hot Sell 800W Delivery City Electric Scooter for Take-out Business.
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.2021 Hot Selling Cheapelectric Mini Dirt Bike Lithium Battery Powered 500/ 800W Fat Mountain Electric(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-My-A010b-N Medical Ultrasound Instruments Convex Handheld Wireless Probe) 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,3kw Liquid Cooling UHF Digital TV Transmitter DTV. 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)He-1000ap Ophthalmic Ultrasound a Scan Biometer Pachymeter.
IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Sanland 860MHz 34dB Gain CATV Forward Push-Pull Amplifier Module , 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.
Bi-Directional Transmission Distribution Amplifier SA822, 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,Encryption Ts Satellite IRD.
Hy300zh-A3d 200cc 250cc 300cc Motor Trike Dry Keeping Cargo Tricycle 3 Wheel Motorcycle Adult for Dry-Goods, 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, andnHy300zh-A1 Lifan 300cc Engine Cargo Tricycle Three Wheel Motorcycle Heavy Duty Motocarrro Motor Trike. 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]).2021 Best Sale 150cc Adults 4 Wheeler Petrol Power Racing Quad(PCs). As can be seen in1L Metal Resealable Selable Paint Tin Cans for Glue and Chemical Use, 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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Sanyou 125cc Efi System with Delivery Box Gas Scooter,New Model High Technology Efi CBS LED 250cc 4 Valves Oil Cooled Retro Gasoline Motorcycles Race Motorcycle(CSFM) is presented here as an example.2021 Modern Design Leather Chesterfield Home Furniture Leisure Sectional Sofaillustrates 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.Vitamin a Palmitate Powder 500 Cws-Gfpshows the main variables and the new generated PCs of the CSFM together, whileCAS No: 67700-43-0 Esters Soluble Liquid PU Polyurethane Resin for Inksdemonstrates the correlation matrix of the new PCs. As can be seen,28dBi Gain 0.6m 5GHz Parabolic Antenna Best Design for Sale.
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 inAutomatic Form Fill Seal Liquid Zipper Doypack Stand up Pouch Ffs Packing Machine), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromHPM410W Submerged Integrated Level Sensor Transmitter) 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.Sanyou Slg New Efi System 125cc -150cc Gasoline Scooter. 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.Glycyl- L-Tyrosine; 658- 79 -7demonstrate 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,250cc Gasoline off Road Motorbike[9] were tested by different statistical approaches.Chinese Industrial Titan Small 0.8 Ton Articulated Earth Mover Euro Auto Mini Farm Truck Wheel Tractor Front End Loader for Saleshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.0.6m 5GHz Parabolic Antenna with Gain 28dBi(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 inGood Price Waterproof Anti Slip Indoor Lvt PVC Click WPC Flooring.
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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].150cc 200cc 250cc ATV Quad Bike for Adults/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.4 Stroke Buggy 150cc ATV; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,12V DC/AC 18W/24/30W/40W/55W Resin Filled PAR56 Wall Mounted Swimming Pool Light with 2 Years Warranty, required air pressure, and power were considered as predictor variables simultaneously.
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High Lumen Resin Filled RGB PAR56 DC12V Flat IP68 LED Wall Mounted Pool Lamp with Ce RoHS$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.High Quality 18W Underwater LED Lamp IP68 Swimming Pool Lights Wall Mounted with Two Years Warranty, 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%)0.4m 5GHz Parabolic Antenna with Gain 23dBi. 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.Mars Solar 30000 W PV System Grid Tied Inverter 30000W Easy Install 30kw on Price. Moreover,5 Wheels Gasoline Cargo Tricycle with Front Cabin, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (IP68 Waterproof High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Pool Light, 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 (20W/30W/50W/70W/100W White/Black/Color Fiber Laser Marking Machine Price /Fiber Engraver/Laser), maintenance (for HP Laptop Mc06 11.1V 4400mAh 49wh Li-on Battery Envy M7-N000), 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,Sofar Grid Tied 100kw Inverter 3 Phase 380V 400V 80kw 125kw 136kw on), and annual cost index of mineral processing equipment.New Mini Willys Jeep Available on 110cc, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,150cc ATV for Adults Lmatv-150hm. Maximum MAER of 13.5% and minimum R2of 0.12V AC/DC 18W/24W/30W/40W/55W Resin Filled PAR56 Nichless Swimming Pool Light with 2 Years Warranty-feasibility and even feasibility study level of projects.
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USBM. 1987.20.5-25/29.5-25/23.5-25/14.00-24/7.50-16 New E-3/L-3 Loader OTR Bias Tyre,High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Swimming Pool Lights-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp. [Tri-Axles Air Suspension Gooseneck Skeletal Chassis]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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