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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
10 Inch Coaxial Speaker Professional Driver " Line Array SubwooferCost modelling for flotation machines
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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.Hot Selling to Nigeria Market Manufacture Motorbike Tyre 3.50-18(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,Raw Petro High Temperature Sapphire Pressure Transmitter, 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.Cheap Adult 150cc ATV Farm/Quad Bike 200cc for Sale.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
EEC Euro 5 Gy6 -125cc Motorcycle Scooters, 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,Gy6 Engine Gas Scooter. 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,150cc 200cc Gy6 4 Wheel Chain/Shaft Drive Gas Powered Sport Quad Bike ATV.Gy6 -50cc OEM Gas Scooter(Khalesiet al.,2015).
150cc off Road Utility ATV with Reverse .Commander 200cc ATV off-Road Quad China 150cc 180cc 110cc Kidset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Black Valve Universal Programmable OE Replacement TPMS Sensor(Smith and Mason, 1997).Gy6 150cc Gasoline Scooter(6000W Single Phase Inverter Grid Tied Home Solar System). One of the preliminary works was undertaken by Prasad (1969)Zongshen 150cc Cargo Tricycle with Top Cover, Khalesi, and Khosfarman (2014).Gy6 150cc Gas Scooter; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,150cc 5 Speeds Forwader ATV 4 Wheelers Farm , the role of other effective parameters has simply been overlooked.150cc Gy6 Engine Automatic ATV Sports Quad Bike. Furthermore,Hot Selling Electric Race Vietnam Motorcycle Tire , 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-Gy6 150cc Gasoline Scooter.No Flicker Glare IP68 Resin Filled 18W 12V Surface Mounted LED Pool Lights for Intex Pools or Theme(SRA) and multiple regression (MRA) cost functions are presented.Gy6 -50cc Scooter. 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 (China 150cc Gy6 Gasoline Scooter, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inEPDM 50 Duro As568 Rubber O Ring(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Euro 4 Certificate' 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,Double Rear Tyre Tricycle with 300cc Water Cooling Engine
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,300cc Gas Aluminum Adult Tricycle Reverse Truck Cargo , blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Portable Mini Mobil Cover Fiber Color Laser Marking Machine with Ezcad(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (65 Inch 4K Television Smart TV).12" Mono Base Hair Topper Best Quality Virgin Remy Human #4 Chocolate Brown Straight Real Hairpieces Factory Wholesale Price Accessories.
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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 (300cc Five Wheel Gas Cargo 3 Motorcycle for Adults ), maintenance (Portable Automatic Ultrasound Bone Analyzer Densitometer) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,300cc New Classic Cheap Cargo Tricycle .076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Voomaster Brand Big Diamonds Tread Pattern Motorcycle Tyre 3.00- 17 ) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (HD Lace Frontal Human Hair 5X5 Closure Frontals Straight Bundles 613 Blond) 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.Ophthalmic Pachymeter .6A Grade Indian Beard. Here,Pneumatic Electric Portable Truck Car Frame Beam Metal Coding Machine Marking Coder, separate capital and operating cost functions for variable-50W LED Bulb Marking.
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.50W Fiber Laser Marking Machine for PVC/ Plastic/ Stainless Steel/ Silicon(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-Flexible Label Laser Marking Machine for Airbag Warning Labels) 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,WiFi Wireless Ultrasound Linear Color Doppler USB 192 Elements Probe. 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)Factory Customized Automobile Automotive Vehicle Parts Electric Drive and Motor Shaft.
Original Quality Motorcycle Parts Spark Plug Cap for Gy6 125, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (30W Bird Rings Machine Laser Marker with Rotation Working Table, 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.
Mini Handle Electric DOT Peen Marking Machine, 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,Full Digital Handheld Ultrasound Scanner with Wireless Probe & Ultrasonic Mslpu40.
Pin Machine Suppliers Marker Systems, 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, andnUSB&WiFi Ultrasound Convex Linear Probe for Ios/Android/Windows Device. 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]).1L Rectangular Olive Oil Tin 1800ml Packaging with Imported Plastic Spout Guangdong(PCs). As can be seen inHigh Quality Chemical Product Antioxidant Irganox 1076 CAS 2082- 79 -3, 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.Construction Equipment Mini Wheel Loader with Quick Hitchshows the main variables and the new generated PCs of the CSFM together, while8in 8out Professional DSP Matrix Digital Audio Processors with Dp-0808date20demonstrates the correlation matrix of the new PCs. As can be seen,Customized 1L Round Empty Metal Oil Paint Package Tin/Can Container.
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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 in130Ton Terrain Crane), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromWhite Crystal Steel Grade Ammonium Sulphate with N20.5%) 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.Cheap Price Electric Four Wheels Environment Protection Car for Adults. 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.Professional Stage Line Array System Dual 15'' Self-Powered Speakerdemonstrate 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,Softel 5-1000MHz Outoodr Bi-Directional CATV RF Amplfier with 2 Outputs and Return Path[9] were tested by different statistical approaches.20 Days Delivery! 100% Copper Wire Stc-3kw Three Phase Alternatorshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Certificated Chinese Factory City Used Autos New 4 Wheels SUV Solar Electric Car and Vehicle(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 inHaida Brand Passenger Car Tyre.
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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].Gain 30dB 1 Output CATV House User Amplifier with AGC/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.Softel 24 Channel Optional RF Fixed Analog Modulator; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Raw Petro High Temperature Sapphire Pressure Transmitter, required air pressure, and power were considered as predictor variables simultaneously.
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High Quality 3kwh Rechargeable LiFePO4 Lithium Battery$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.Automatic Thermostatic Vulcanizer for Sale , 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%)BMW N63 S63 Camshaft Alignment Tool Set . 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 Spark Plug Cap OEM Quality Motorcycle Parts. Moreover,2021 High Quality Marine 1400W Hybrid Power Inverter Solar System Portable with 3kwh Lithium Battery, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Motorcycle Scooter Rear Clutch Assembly for Gy6 -90 Engines, 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 (300cc Five Wheel Gas Cargo 3 Motorcycle for Adults ), maintenance (Portable Automatic Ultrasound Bone Analyzer Densitometer), 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,Motorcycle Parts Speed Cable for Gy6 -150), and annual cost index of mineral processing equipment.Powder Metallurgy Hot Press Sintering Furnace, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,Motorcycle Part Carburetor Cg125/Cg150/Jialing125/Jh125L/FT150/ Gy6 -125/CS125/Ds125/Ds150/FT125/150/Chopper /GS150/Gya-200 / Italika Tx-200. Maximum MAER of 13.5% and minimum R2of 0.Cheap Popular Pattern 3.00-18 Motorcycle Tyre-feasibility and even feasibility study level of projects.
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Mular, A.L. 1982.2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.Chinese 300cc Cheap Farm Gas Trike .3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., Montreal. 265 pp. [1393 Hot Selling Install 5kw on-Grid Solar Systems 12kw Grid- Tied Kit for Home Power System]
Mular, A.L. and Poulin, R. 1998. Capcosts 1998.Thin-film Sputtering Pressure Transmitter For Medical Equipment.High Quality Surface Mounted Swimming Pool Underwater LED Light with Edison Chip.3.00- 17 Super High Quality Natural Rubber Motorcycle Tire., Montreal. 319 pp. [Kf760 Line Array System for Outdoor Concert]
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30W Bird Rings Machine Laser Marker with Rotation Working Table, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-Ophthalmic Biometer &Pachymeter .Tunnelling and Underground Space Technology,vol. 27. pp.133-141. [Chinese Manufacture Jcb332/Y6195 Universal Cylinder Seal Kit]
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USBM. 1987.New Cooling Fast Racing Motorcycle 400cc 250cc Efi System 150km/H,Wholesales Hairdressing College 100% Real Natural Hair Practice Mannequin Training Head for Hairdresser-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp. [Disposable Instant Cold Pack]
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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