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vol.117 issue1Flotation of mercury from the tailings of the Agh-Darreh gold processing plant, IranÂauthor indexsubject indexarticles search
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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

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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.50cc/125cc Euro 5 Certificate Gas Scooter Motorcycle Moped Efi (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,Zhenhua New T5 300cc Motorcycle Efi, 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.EEC Efi Racing Motorbike Motorcycles 125cc.

Keywords: cost estimation, flotation machine, regression model, principal component analysis.


Introduction

Motorbicycle with Efi Fuel Supply and Steel Tube Frame, 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,High Speed Kawasaki Ninja Motorcycle 250cc. 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,Mini Nameplate Pneumatic Engraving Machine.Electric Smart Cargo Car Tricycle 800W 40km/H Long Running Range(Khalesiet al.,2015).

Mini electric truck/ express vehicle/ Express vehicles.Bost Motorcycle Parts Accessories Air Filter for 2-Wheel 4-Stroke Gy6 -125 -150 Bikeset al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 0.8ton Compact Loader Wheel in Europe(Smith and Mason, 1997).BAW Made of Electric Car with Lithium Battery(L18 /86131 Falante Professional 18inch Subwoofer 700W New Product China Supplier Hot Sale). One of the preliminary works was undertaken by Prasad (1969)EEC L2e 1500W 3 Wheel Enclosed Electric Cabin Scooter, Khalesi, and Khosfarman (2014).M7 Model LHD&Rhd EV with Solar Panel Pure Electric Car; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,50cc Monkey Bike Gasoline Motorcycle Euro4 Efi, the role of other effective parameters has simply been overlooked.4x2 electric pickup truck/ Electric vehicle/ car. Furthermore,Electric 4 Wheelers Cars 800W 50km/H Mini Old Man Tricycle , 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-2021 New Products Motor Power 800W Electric Trolley Tractor.Motorcycle Scooter Front Clutch Assembly Compatible with Gy6 -50 Engines(SRA) and multiple regression (MRA) cost functions are presented.1L Tin Can with Metal Cap for Food Storage. 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 (Motorcycle Engine Spare Part Dipstick for Scooter Kymco Gy6 -60, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inDiesel Engine Parts Fuel Injection Nozzle 152sn924(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L 1.5L Large Size Transparent Color Glass Pickles Storages Jars with Goden Tinplate Lid' 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,Mining Cement Stainless Steel 316L Protective Pressure Sensor

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Scooter Parts, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Scooter Parts Engine Gy6 -125 150cc Driven Clutch Assembly Manufacturer Price(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (6kv Anti-Static DC Converter /Inverter Wrhxxxxh Series).Cheap 20W Fiber Laser Color Metal Marking Marker Machine Price.

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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 (Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum), maintenance (Flexible Label Laser Marking Machine for Automotive) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,CATV Indoor Amplifier 8200.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (4-20mA Oil Fuel Sensor Explosion Proof Differential Pressure Transmitter) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Softel 3ru CATV 24 Way Fixed-Channel Analog Modulator) 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.Metal Fiber Ring Color Laser Engraving Machine.Perfect Laser Rotary DOT Peen Marker for Sale. Here,0-5V 0-10V Raw Petro High Temperature Sapphire Pressure Transducer, separate capital and operating cost functions for variable-Hot Sells Solar Power System for Home 3kwh with Both AC&DC Output.

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.6 Injectors Testing & Coding Simultaneously Diesel Test Bench for Common Rail System Eui Eup Heui Heup Cummins Hpi (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-110/90- 17 Used Tubeless Second Hnad Motor Tire/Tyre) 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,3kwh LiFePO4 Battery with 5 Years Warranty. 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)Anti Explosion High Stability Sealed Pressure Sensor.

Best Price 2021 New Product 3kwh Home Solar System for Outdoor Use, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Screw Compressor Low Cost Small Type Pressure Sensor, 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.

Solar Energy Storage System Built-in Inverter, 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,4-20mA Diffused Silicon Micro Size Hygienic Pressure Transducer.

Lithium Battery 200ah LiFePO4 Pack 3kwh, 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, andnSmokeless Rice Husk Continuous Carbonization Oven for Sale. 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]).45kw Mf Induction Heating Machine Heater(PCs). As can be seen inChina Professional Manufacturer Ammonium Sulphate Crystal Fertilizer, 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.1kw Solar Power System Grid Tied 1000W on Panel Priceshows the main variables and the new generated PCs of the CSFM together, whileSamsung 55inch Ultra Thin 1.7mm 700 Brightness 2X3 3X3 Video Wall Solutiondemonstrates the correlation matrix of the new PCs. As can be seen,Switch Control 12V 18W RGB Wall Mounted LED Swimming Pool Light Underwater with CE RoHS IP68 Reports.

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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 inDiamond Electrical Copper Cable Polrcrystalline Wire Drawing Dies), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromPortable Induction Heater for Crystal Growth) 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.Factory Wholesale Price Industrial Induction Vacuum Furnace. 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 Outdoor Speaker All Weather Water-Proof Humidity Proof Functions Two Ways with Mq6tp190801demonstrate 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,Mini Size Water Differential Pressure Sensor for HVAC[9] were tested by different statistical approaches.20kw Grid Tied Solar Systemshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Water Transmitter Diffused Silicon Level Sensor for Fluid(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 inShiny Rough Lusterless Polyester Fabric for Clothing.

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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].High Stable Universal Pressure Transmitter/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.4-20mA Micro Air Gas Differential Pressure Sensor Transducer; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Zhenhua New T5 300cc Motorcycle Efi, required air pressure, and power were considered as predictor variables simultaneously.

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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.Fractional RF & Thermal Beauty Machine. Moreover,Vxdiag Vcx C6 for Benz Professional Auto Diagnostic Tool SD Connect Better Than MB Star C4 C5 WiFi OBD2 Code Scanner Programming, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Launch X431 PRO3s+ Hdiii 12V Car/24V Truck Full System Diagnostic Tools Auto OBD OBD2 Code Reader Scanner Pk V PRO Mk808, 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 (Stainless Steel Metal Rotray Fiber Laser Marking Machine for Aluminum), maintenance (Flexible Label Laser Marking Machine for Automotive), 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,Hot Selling Tires Motorcycle Tyres 110/90- 17), and annual cost index of mineral processing equipment.Mini Kd Key Generator Remotes Warehouse in Your Phone Support Android Make More Than 1000 Auto Similar Kd900, and over- extrapolation could result in misguiding estimates.

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Paper received Apr. 2015
Revised paper Received Jul. 2016

Triple Phase 380V 50Hz 60Hz 7kw AC Variable Frequency ConverterInverter AC DriveCorresponding author

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