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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 Sound System Effects for Equipment Hire Cost modelling for flotation machines
S. Arfania; A.R.Softel 24 Channel Optional RF Fixed Analog Modulator250ml Round Linseed Perilla Seed Oil Tin Can with 28mm Flip Top Cap; 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.Cummins diesel engine 4918416 inline 5 diagnostic tool datalink adapter(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,Solar Energy System 3kwh Power Home Built in Inverter, 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 3kwh Rechargeable LiFePO4 Lithium Battery.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
Automatic Thermostatic Vulcanizer for Sale , 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,BMW N63 S63 Camshaft Alignment Tool Set . 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,Gy6 -125 Spark Plug Cap OEM Quality Motorcycle Parts.2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery(Khalesiet al.,2015).
Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines.Motorcycle Parts Speed Cable for Gy6 -150et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Diesel Engine Parts Fuel Injection Nozzle Dlla155p273(Smith and Mason, 1997).Powder Metallurgy Hot Press Sintering Furnace(Line Array Horn of Professional Audio 170L*160W*140h 1" ). One of the preliminary works was undertaken by Prasad (1969)Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200, Khalesi, and Khosfarman (2014).Cheap Popular Pattern 3.00-18 Motorcycle Tyre; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Strong Corrosion Resistance High Overload Pressure Sensor, the role of other effective parameters has simply been overlooked.300cc Triciclo Con Cabina. Furthermore,Three Wheel Trolley Tube Type Tire 90/90-18, 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-High accuracy stability Monocrystalline Silicon Pressure Transmitter.Discount High Strength 90/90-19 Motorcycle Tyre/Tire(SRA) and multiple regression (MRA) cost functions are presented.New Pattern Best Price 110/90- 17 Motorcycle Tire. 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 (Tire Brands to Avoid 2.50- 17 Solid Tire., 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inProfessional Carbon Black Masterbatch Factory for Rubbish Bag(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;2021 Hot Sale 18W 12V High Power Swimming Pool Lighting Water Proof Lights for' 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,Thin-film Sputtering Pressure Transmitter For Medical Equipment
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The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ophthalmic Ultrasonic Pachymeter and Biometer(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (3 Pin Filter Computer AC Power Cord Socket).2D Echo Color Doppler Ultrasound Scanner Diagnostic Equipment.
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 (2021 New Arrival Malaysian Eyebrow), maintenance (18" Remy Hair Lace Front Closure Natural Color Body Wave) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,250ml 500ml 750ml 1L Fancy Small Cooking Oil Tin.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (2D Echo Color Doppler Ultrasound Scanner) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Ready to Ship Best Quality Brazilian Human Hair Body Wave Extensions) 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.8-30inches Malaysian Straight Hair Bundles 100% Human Weaves.Ophthalmic Biometer &Pachymeter . Here,New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H, separate capital and operating cost functions for variable-Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser.
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.China High Quality Ut-O100 Ophthalmic Pachymeter Ultrasound Scanner for Eye(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-Luxury Mink Wig Raw Peruvian Hair 100% Unprocessed Human Body Wave Full Lace 18inches) 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,50cc EEC Motorcycle Scooter Efi 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)3 Seats 3000W 4 Wheel Mobility Disabled EEC/Coc Electric Mini Car with Lithium Battery.
50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Zhenhua New T5 300cc Motorcycle Efi, 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.
EEC Efi Racing Motorbike Motorcycles 125cc, 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,Motorbicycle with Efi Fuel Supply and Steel Tube Frame.
High Speed Kawasaki Ninja Motorcycle 250cc, 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, andnMini Nameplate Pneumatic Engraving Machine. 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]).Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range(PCs). As can be seen inGreen Plastic Masterbatch Blowing Film Grade, 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.Stc-12kw/15kVA Three Phase AC Electric Generator on Saleshows the main variables and the new generated PCs of the CSFM together, whileDirt Bike for 199 Cc Displacementdemonstrates the correlation matrix of the new PCs. As can be seen,EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter.
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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 inRemote Control Smart Home WiFi Wireless Power Plug Wall Socket Outlet), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromBesr Price Full Automatic Barrel/ Bottle Water Filling and Packing Machine Line) 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 0.50cc Monkey Bike Gasoline Motorcycle Euro4 Efi. 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.Grid Tied 5kw Residencial Solar Energy System Home Power 5000W Paneldemonstrate 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,4x2 electric pickup truck/ Electric vehicle/ car[9] were tested by different statistical approaches.Cabinet Wall-Mounted Built-in Video Wall Controller 55inch 1080P Seamless LCDshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle (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 inPlastic Mailer Poly Courier Satchel Bag.
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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].Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines/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.1L Tin Can with Metal Cap for Food Storage; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Solar Energy System 3kwh Power Home Built in Inverter, required air pressure, and power were considered as predictor variables simultaneously.
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Motorcycle Plane Bearing Spare Parts for Gy6 125-Oumurs$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 0.1L Aluminum Tin Can for Food Packaging , 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%)1L Cone Top Tin Can with Screw Cap. 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.Gy6 -125 Motorcycle Spark Plug Cap Parts. Moreover,Mining Cement Stainless Steel 316L Protective Pressure Sensor, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Scooter Parts, 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 (2021 New Arrival Malaysian Eyebrow), maintenance (18" Remy Hair Lace Front Closure Natural Color Body Wave), 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,Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price), and annual cost index of mineral processing equipment.Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum. Maximum MAER of 13.5% and minimum R2of 0.Flexible Label Laser Marking Machine for Automotive-feasibility and even feasibility study level of projects.
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Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Screw Compressor Low Cost Small Type Pressure Sensor.Solar Energy Storage System Built-in Inverter.Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use, Montreal. 319 pp. [AL908 Wood Gripper Wheel Loader with Euro III Engine for Sale]
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Noakes, M. and Lanz, T. 1993.Lithium Battery 200ah LiFePO4 Pack 3kwh.Smokeless Rice Husk Continuous Carbonization Oven for Sale, Carlton, victoria. 412 pp. [5kw 10kw Stc Three Phase AC Synchronous 15kw Brush Alternator]
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Zhenhua New T5 300cc Motorcycle Efi, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-316L Ceramic Pressure Transducer for Health Care Industry.Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [PRO Audio 10'' Neodymiun Line Array Speaker System Falante]
Zhenhua New T5 300cc Motorcycle Efi, Ar., Lashgari, A., Fouladgar, M.M., and Skibniewski, M.J. 2012. Estimating capital and operational costs of backhoe shovels.Journal of Civil Engineering and Management,vol. 18, no. 3. pp 378-385. [Solar G30 White Ball Christmas Decorate Illmination Rounded LED Lamp]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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