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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
High Purity CAS 64318- 79 -2 GemeprostCost modelling for flotation machines
S. Arfania; A.R.2021 New Type Fashionable Chinese Supplier Brushless Max Speed 35km/H 2 Wheel Electric MotorcycleDual 10 Inch Line Aray Powered Active Sound System; 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.Best Chinese Big Wheel Electric Motorcycle Racing Bike Adult Bicycle(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,Bd600 AC Frequency Inverter/Converter/220 V to 380 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 0.1L Beer Can.
Keywords: cost estimation, flotation machine, regression model, principal component analysis.
Introduction
High Quality Electric Scooter Factory, 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,Cute Electric Scooter Motorcycle with Pedals 60V800W14ah Lithium Battery for Adults. 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,1L Panit Can.1L and 5L Can for Antifreezing Liquid(Khalesiet al.,2015).
2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycle.Pump Inverter Variable Frequency Drive Manufacturers AC Supplieret al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Yog Motorcycle Spare Parts Magnetic Switch Assy Starter Relay for Cg125 Bros Nxr Honda Suzuki Akt 125 Akt110 Bws100 Gy6 Italika Kintaro YAMAHA Haojue(Smith and Mason, 1997).Cheap Smart Electric Scooter for Lady 60V800W20ah with Customer Foot Pedal(IN-AC5L ICEN WiFi Wireless Linear Ultrasound Probe Scanner). One of the preliminary works was undertaken by Prasad (1969)Wenge Veneer Catedral Chapa De Madera Reconstituted Engineered PARA MDF Enchapados, Khalesi, and Khosfarman (2014).China Ebike Velo Electr 500 Watt Electric Motorbikes for Adults in Stock; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Frequency Inverter Solar Pump Vector Air Compressor Power Transformer, the role of other effective parameters has simply been overlooked.Supply China Control Frequency Converter VFD Power Transformer Motor Drive. Furthermore,MPPT Function Variable Frequency Drive Motor Controller Power Supply Generator, 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-0.75kw-11kw Three Phase 380V Frequency Inverter VFD.2885 Factory 25 Years Warranty Solar Power Kits 5kw 8kw 10kw 12kw Grid Energy System(SRA) and multiple regression (MRA) cost functions are presented.2876 10kw Home Used Solar Power System on Grid Roof. 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 (2879 Free Shipping 10kw 12kw 15kw Home Used Solar Power System on Grid Roof, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inTop Local Anesthetic Supplier Marcaine Injection 14252-80-3 Bupivacaine Powder(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;AAA Grade 0.9mm Poplar Core/Veneer for Plywood/Furniture' 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,Small Wheel Loader Wl80 800kg Loaders for Farm Work
►Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,1L Tin Can for Camellia Oil , blowers, and launders.
The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),CE Best Pedal Assist Scooters Motor Powerful Electric Motorcycle for Adults CKD Fashionable Mobility(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Cheap Ping Pong Bats with Anti-Skid Handle Wooden Blade Rubber).Mxq 4K PRO Allwinner H3 Quad 7.1 1GB RAM 8GB ROM H. 265 3D Android Media TV Box.
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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 (2021 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle), maintenance (Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Hot Popular Fast Shipping H. 265 Standars Czech Republic Channels Internet TV Box.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.
The overhaul costs (Junuo China Factory Mini Plastic E Digital Internet TV Set Top Box DVB T2 for Russia) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (5 Litre Extra Olive Oil Tin Can ) 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.DC/AC Frequency Inverter Solar Pump Power 400-600V Input 2.2kw.Frequency Converterlow Industrial Power Inverter. Here,2370 Alicosolar Easily Install 10kw on Grid Solar System 10kVA Kit with CE/TUV/ISO for Home Use, separate capital and operating cost functions for variable-China Electric Moped Motorcycle Sale for Adults Mobility E Scooter with Battery.
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.Three Phase 380V/ 0.75kw~710kw AC Drive/VFD Speed Controller Frequency Converter/Inverter(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-DC/AC Frequency Inverter Solar Pump Power 400-600V Input 4kw) 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,Low Price B/C/D/E Grade Wood/Natural Birch Veneer. 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)Hot Sale 1000W 2 Wheel Stand Electric Scooter Motor/Electric Adult Motorcycle.
Solar Pump Inverter Price Quality AC Drive Frequency Converter, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Good Quality Pine Wood Core Block Board with Okume Film, 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.
Hot Good Bulk Quality 60V800W20ah Electric Motor Scooter for Ladies, 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,Al-Gw6 Fast Electric Motorcycle Speed 60km/H Kits.
Titan Chargeuses Cheap Small Log China Mini Digger Loader with European Quick Hitch, 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, andnChinese Factory Direct Supply Lithium Battery Electric Scooter LCD Display Motorcycle E-Scooter. 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]).Cheap Chinese Moped Scooter with Lithium Battery Rechargeable Electric Motos Motorcycle(PCs). As can be seen in3 in 6 out Digital Signal Processors Professional Audio System Line Array PA with Dp-36, 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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Grid Tied Solar Energy System 5kw 10kw 20kw 50kw 100kw 200kw 300kw 500kw,2021 Hot Selling Two Wheel Cheap Powerful Electric Moped Motorcycles with Pedals Chinese Supply CKD Scooter(CSFM) is presented here as an example.Big Discount 99% Glycocyamine Supply Guanidineacetic Acid 352-97-6illustrates 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.Solar Energy Storage System Built-in Invertershows the main variables and the new generated PCs of the CSFM together, whileE-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kwdemonstrates the correlation matrix of the new PCs. As can be seen,Titan OEM New Type Qingzhou Loadefr Factory RC Avant Mini Wheel Loaders with Ce.
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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 in3D Wheel Aligner A8/Garage Equipment/Automotive Equipment/Auto Maintenance/Wheel Alignment Machine Price/Wheel /3D Alignment/Truck), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromaluminium LCD wall panel surveillance flat display) 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.Titan Mini Loader 800kg New Front End Radloader with Spare Parts Best Shipping Agent Service. 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.Pharmaceutical Intermediate 1demonstrate 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,Wolf Shovel Loader E5 for Agriculture Work[9] were tested by different statistical approaches.55 Inch HD Outdoor Indoor LCD Advertising Digital TV Video Wall Smart Displayershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Fast Delivery 2 Wheel Lithium Battery Electric Bike Lady Bicycle Motorcycle in Stock(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 inCNC Sheet Metal Plate Fiber Laser Cutting Machine with Single Table 1300*2500mm.
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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].Everun Er408 800kg Construction Equipment Compact Mini Wheel Loader with Bucket/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.Agricultural Machine Small Wheel Loader Mini780 with CE Certificate; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Bd600 AC Frequency Inverter/Converter/220 V to 380 Inverter, required air pressure, and power were considered as predictor variables simultaneously.
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Factory Price Zl08 Mini Articulated Hydraulic Front End Farm Wheel Loader$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.Factory Supply OEM Support Mxq PRO Rockchip Rk3229 Android 7.1 TV Box, 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%)Natural Okoume Venner 0.90mmx6X9FT. 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.All Sizes Good White Recon Veneer. Moreover,Dyed Natural Wood Veneer Oak Crown Cut for Hotel Decoration Shop Wall Kitchen Cabinet, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (15mm Pine Wood Core Block Board for Construction, 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 Best Sale Fashionable Cheaper High Quality 1000W Adults 2 Wheel Electric Motorcycle), maintenance (Set Top Box T95q S905X2 4G 32g Android 9.0 HD TV Kodi Quad Core), 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,The New Natural Mahogany Okoume Veneer), and annual cost index of mineral processing equipment.Veneer Paper Tape Reeling and Gummed Repair for Joining Repairing Core Face Door Furniture, and over- extrapolation could result in misguiding estimates.
The MAER, RMSE, R2,982 High Efficiency up to 99% on Grid Solar System 50kw Plants for Large Scale Commercial. Maximum MAER of 13.5% and minimum R2of 0.2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles-feasibility and even feasibility study level of projects.
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Paper received Apr. 2015
Revised paper Received Jul. 2016
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