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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
Double 10inch Line Array System Box Cost modelling for flotation machines
S. Arfania; A.R.Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium PackPneumatic Pipe Beveling Machine High Performence; 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.1380 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System(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,Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power, 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 0.72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai, 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,Everun Er08 CE Wheel Loader with Standard Bucket for Sale. 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,China Cpm Zl08 Mini Wheel Loaders with Price List for Sale.Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V(Khalesiet al.,2015).
Loader.18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Lightet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Peq-12A-Active PA Speaker with Class-Ab Mono Amplifier Bluetooth(Smith and Mason, 1997).Samll EPA 0.8ton Tractor Loader(Pipo X9s Latest Dual Boot Mini PC 2GB 32GB Wins 10+Android 5.1 TV Box 4K Full HD). One of the preliminary works was undertaken by Prasad (1969)Closed Motorized China Cargo Tricycle with Box , Khalesi, and Khosfarman (2014).Covered Tricycle Carriage Closed Cargo Box; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty, the role of other effective parameters has simply been overlooked.0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel. Furthermore,Metal Packing Chemical Round Tin Can, 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-1 Liter Cans for Curing Agent.Cone Top 1 Liter Glue Usage Tin Can(SRA) and multiple regression (MRA) cost functions are presented.High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket. 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 (Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot-Sale Sporty Electric Motorcycle Mn5(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;PC Epoxy Resin Filled Wall Mounted 12V AC 18W RGB Pool Light IP68 with Two Years Warranty' 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,Manufacturer Promotional Square Metal Tin Can for Tea Coffee Packing
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Motor Auto Hydraulic Open Three Wheel Motorcycle for Sale, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Hot PC Resin Filled 18W AC RGB Wall Mounted LED Underwater Light with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Lifting Beam for Wheel Alignment Aligner Machine WF006).20watt Mopa Laser Marking Machine for Anodized Aluminum Black.
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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 (Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips), maintenance (No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2021 New E Bike Best Mini Electric for Adults.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Power Saver Device ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (1liter Empty Paint Tin Can with Lids Factory) 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.No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with CE RoHS IP68 Reports.60V800W Electric Scooter with Highlight Rear Box. Here,Empty Canister White Metal Round Packaging Cans Box Tea Tins, separate capital and operating cost functions for variable-2021 Best Selling Dual Battery Pedal Assisted Electric Scooter Bicycle.
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.No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip(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-Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet) 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,Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped. 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)Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery.
20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Electricity Power Saver for Industry , 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.
Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike, 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,Malaysia Laser Marking Machines for Jewellery.
Enclosed Covered Tricycle with Wagon, 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, andnColor Marking 20W Fiber Laser Machine Price for Metal. 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]).Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle(PCs). As can be seen in5GHz 30dBi Grid Parabolic Antenna , 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 Cheap Classic Light Mini Reverse Three Wheel Motorcycle ,Mountain Using Motorcycle with Strong Steel Tube Frame(CSFM) is presented here as an example.Emtpy 250L Round Clutch Brake Fluid Small Can with Plastic Lidillustrates the high correlation between predictor variables for the CSFM.
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.China 10 " DJ Indoor/Outdoor Audio Sound System Line Array Speakers shows the main variables and the new generated PCs of the CSFM together, whileNatural Wood Bintangor Face Veneer for Door and Furnituredemonstrates the correlation matrix of the new PCs. As can be seen,10W 20W 30W portable Fiber Laser Marking Machine.
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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 inOutdoor Christmas Neon Signage Wall Decoration Light), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromProfessional 8 Mono+2 Stereo 10 Channel DSP Audio Mixer with 48V Phamton Power Supply) 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.CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz. 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.Cheap Moisture Proof Zipper Aluminum Foil Tomato Sauce Bag Custom Printed Food Packaging Stand up Pouch 100mg Candy Gummies Bear Cookies Oil Liquid Bagsdemonstrate 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,CATV Amplifier Module Bgy887 24V 22.6db Excellent Return Loss Properties[9] were tested by different statistical approaches.Gy6 -125 Motorcycle Spark Plug Cap Partsshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.High Efficiency SIM Card Fiber Laser Marking Machine(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 inCartoon Brooch for Kids.
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Cost model for variable-2021 New Machine Grade CO2 Laser Marking with a Discount
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].20W Fiber Laser Color Marking Machine for Colorful on Stainless Steel/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.Mopa Fiber Laser Marking Machine for Black Printing; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power, required air pressure, and power were considered as predictor variables simultaneously.
20W Table Fiber Laser Marking Machine for Metal Stainless Steel. Moreover, the operating cost was detailed in different cost items.Portable Handheld Metal Plastic DOT Peen Marking Machine, indicated inIP68 35W 12V PAR56 LED Underwater Lamp Swimming Pool Light, and major extrapolation should be avoided.
5150-5850MHz Sector Panel Antenna with Gain 13dBi$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.Dirt Bike for Sport Using with Large Power Engine, 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%)Electricity Saver Device . 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.3 Phase 50 - 60Hz Intelligent Power Saver. Moreover,High Efficient Industrial Electric Motor Power Saver, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (EEC 125/300cc Euro 5V Max Scooter-Alex One, 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 (Hot Model 18W IP68 Cool White PC Resin Filled Wall Mounted Pool Lighting with Edison Chips), maintenance (No Flicker Glare 12V 18W Surface Mounted LED Underwater Swimming Pool Light with Two Years Warranty), 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,Electricity Power Reducer ), and annual cost index of mineral processing equipment.Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Electrical Saver Box . Maximum MAER of 13.5% and minimum R2of 0.Sector Panel Antenna -feasibility and even feasibility study level of projects.
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Mular, A.L. 1982.7kwh Multi-Function Solar Energy Lithium Battery Ion for Home.5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain.45cm Offset Satellite TV Antenna with 200 Hour UV Test, Montreal. 265 pp. [IN-A4CPL Portable Wireless WiFi ultrasound color doppler scanner machine]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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