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Gold Medal Running Soccer Ribbon
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
Jwell PP Corrugated Roof Sheet Extrusion MachineCost modelling for flotation machines
S. Arfania; A.R.Yn725 Yineng Mini Wheel Loader 18.5kw CabinLanosterol 79 -63-0 ; 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.Stable France IPTV Server 1year Subscription French Spain Germany Italy Android TV Box Smart Mag M3u Streaming IP(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,Upgraded Full HD North America Internet ATSC TV Decoder, 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.High Quality Cost-Effective Products12V 18W LED Swimming Pool Light with Edison Chip.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
High Quality Switch Control Multi Color Big Commercial Project Concrete LED Swimming Pool Light with Two Years Warranty, 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,Mag City Scooter 80km Range Two Wheel Electric Motorcycle. 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,Electric Scooter/ Motorcycle/TM-BQ.Commerical Okoume Plywood for Sale(Khalesiet al.,2015).
Go Kart .New Go Kart et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans(Smith and Mason, 1997).Everun 0.8ton Mini Wheel Loader with Euro III Engine(Digital Tuner ). One of the preliminary works was undertaken by Prasad (1969)New Model AL908 0.8ton Mini Wheel Loader with Wood Grapple for Sale, Khalesi, and Khosfarman (2014).Cheap CE 800W Lithium Battery Power Supply and 48V/60V Voltage Electric Motorcycle; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,5HP 50Hz 60Hz 3.7kw 3 Phase VFD Variable Frequency Drive for Motor, the role of other effective parameters has simply been overlooked.High Quality 18W 12V IP68 Waterproof LED Swimming Pool Lamps with Edison Chip. Furthermore,50Hz 60Hz 220V/380V Vector Control AC Variable Frequency Drive, 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-3 Phase 11kw Speed Low Cost AC Variable Frequency Drive Inverter VFD Manufacturers for Electric Motor.Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency Converter(SRA) and multiple regression (MRA) cost functions are presented.Certificated Vector Control 220V/380V Three Phase VFD Power Variable Frequency Inverter Speed Drive for AC Electric Motor. 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 (Growatt Solar Inverter 17kw 20kw 25kw Grid Tied Three Phase on Power System, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inHot Sales ABS Surface Mounted LED Underwater Swimming Pool Light 18watt(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;No Flicker Glare 18watt Warm White PC Resin Filled Wall Mounted Swimming Pool Lights with Edison LED 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,China Heavy Load Inverter 220V 380V Three Phase Converter DC to AC
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,3000W Grid Tied Solar System for Home Use, blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Factory-Full Baltic White Birch Plywood From Factory 12mm 15mm(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Waste Incinerator with Ce).Sapelli Plywood.
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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 (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory), maintenance (Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Race 4 Stroke Gasoline 9HP Reverse Transmission Go Kart.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Electric Scooter 800W 60V20ah Lead Acid) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (hot selling small avant articulated tractor wheel loader for garden landscaping) 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.UV White Birch Plywood 18mm Carb E0 Cabinet.18mm Pine/Combi Core Waterproof Plastic Black Film Faced Plywood. Here,China 125cc 150cc Scooter Euro 4 Stroke Motorbike Moped EPA 49cc 50cc Electric Carburetor EEC Gas, separate capital and operating cost functions for variable-Customizable Print Size Easy Open Round Seed Tin Can with Metal Cap and Plastic.
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.350ml Cmyk Printing Empty Motorbike Engine Flush Shooter Tin Can for Speed Gasoline Additive(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-French Hot Sale Huile D'olive Food Grade Packing Olive Oil Tin Can) 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,250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap. 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)SGS Food Grade Certification 500ml Tin Containers Olive Oil Can.
Wholesale Round Food Packaging Empty Tin Metal Cooking Oil Cans, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, 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.
2021 Everun New Design Er408 Small Front End Loader 0.8ton Mini Wheel, 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,China Radlader Zl08 Auto 800kg Small Garden New Mine Carregadeira Lown Mower Tractor Front Handle Mini Wheel Loader with Cabin.
Chinese Eougem Zl08 Wheel Loader with Torque Converter, 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, andnArticulated Mini Wheel Loader Er08 Telescopic Boom. 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]).Cable TV Pendoo X99 Max Rk3399 4G 32g Android 7.1 Internet Smart Box with HD Satellite Receiver(PCs). As can be seen in800W Electric Motorbike with Front Disc Brake, 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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New Design Go Kart 150cc ,External Rubber Antenna for Huawei Modem B315 B593 Mf283 4G Lte with SMA Male Router(CSFM) is presented here as an example.Custom Printed Aluminum Foil Mylar Kraft Paper Stand up Flat Bottom Side Gusset Food Grade Packaging Bag Pouch with Zipper Recyclable Barrier Rice Coffeeillustrates 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.Popular 3kwh Hot Saling Li-ion Battery Suppliershows the main variables and the new generated PCs of the CSFM together, whileSpecial Design Braided Veneer with Red Walnutdemonstrates the correlation matrix of the new PCs. As can be seen,48V/60V 800W Electric Scooter with Lead-Acid Battery.
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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 inGood Price and Quality Commercial Plywood for Furniture), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromNew Design Hand-Held Fiber Laser Marking Machine for Auto Parts/ Vin Numbers) 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.Electric Motorcycle 800W for Adult Motor. 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.Zl08f Construction Machine Farm Tractors Mini Compact Loadersdemonstrate 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,Hot Sale Lady Style 60V 800W 20ah Electric Scooter with USB[9] were tested by different statistical approaches.Yn725 Yineng Mini Wheel Loader 25kwshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.800W -1000W 60V/72V Electric Scooter with Lead-Acid Battery(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 inEasy Sight CCTV Inspection Crawler X5-Hma 6-Wheel Driven.
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Cost model for variable-Rosen 5kw on Grid Solar System with Tied Inverter
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].Solar Energy System 5kw Panel Home Grid Tied Power/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.200kw Grid Tied Solar System for Factory Use; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Upgraded Full HD North America Internet ATSC TV Decoder, required air pressure, and power were considered as predictor variables simultaneously.
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Commercial Solar System 100kw Grid Tied /on 100kVA 60kw$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.Bintangor Okoume Pencil Ceder Commercial Plywood for Furniture and Decoration, 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%)Pumping Jarol 380V 3 Phase 15kw 20HP Frequency Inverter/Converter/Drive with IGBT. 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.Hot selling compact 800kgs wheel loader for garden. Moreover,High Efficiency 6kw Grid Tied Solar Power System for Home, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Safe Automatic CVT 150cc Go Kart Motor with Reverse, 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 (The Cheapest Top Quality Cheap Plywood Sheet Waterpfoof Prices From China Factory), maintenance (Pour Freins Et Embrayages Small Brake Oil Empty Can with Metal Tin Mouth), 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,3 Phase VFD Vector AC Drives 1.5kw 2.2kw 4kw Variable Frequency Drive), and annual cost index of mineral processing equipment.Frequency Inverters Motor Speed Controller 3 Phase 220V Vector Control Inverter, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Carb P2 Plywood/EPA Plywood /Okoume. Maximum MAER of 13.5% and minimum R2of 0.Carb E0 Glue Cabinets Grade 18mm White Birch Plywood From China-feasibility and even feasibility study level of projects.
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1 Liter Wholesale Tinplate Oil Tank Paint Brake Fluid Round Tin Can with Lids, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-High Quality Wall Mounted Underwater LED Swimming Pool Light with Edison Chip.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [Hot Sale Food Packaging Tin Can for Cooking Oil with Plastic Lids]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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