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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.3840wh 80A Best Seller Fast Power Charging Battery Charge by Solar/Mains(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,Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W, 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.Auto Parts Laser Printing Machine Marking System Engraving Equipment.

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


Introduction

Water-Proof Cover 3 Wheel Cargo Gasoline Trike, 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,Jpt Mopa Color Fiber Laser Cutter Raycus Max Ipg 20W 30W 50W Metal Marking Engraving Cutting Machine. 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,2021 Most Hot Selling Electric Mope E-Motorcycle 500W- 800W.Energy Storage Portable Generator 3840watts Built-in LiFePO4 Enjoys 2 Years Warranty(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (Hot Sale Mini High Frequency 25kw Induction Heater Price, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inOkoume Veneer(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;Convex Series Probe Type Wireless Mini Ultrasound Scanner' names:

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Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Ophthalmic a Scan and Pachymeter Combined Unit, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Ophthalmic Optical Pachymeter & Biometer / a Scan (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Spindleless Wood Veneer Peeling Machine).1000MHz FTTH Trunk Line CATV Mini 2 Ports Signal Amplifier.

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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 (Roadside Emergency Set Auto Car Tool Kit), maintenance (SA831r Outdoor Return Path CATV Trunk Amplifier) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,2200 Degree Vacuum Hot Pressing Furnace High-Temperature for Cim.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Portable Induction Heater for Crystal Growth) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Dry diaphragm membrane sanitary pressure transducer) 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.Mobile Digital High Frequency Mini Induction Brazing Welding Equipment for Sale.High Frequency Induction Heater . Here,Industrial Vacuum Atmosphere Hot Pressing Sintering Furnace, separate capital and operating cost functions for variable-Softel 4u 12 Channel Agile CATV Analog RF Modulator.

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.Maintence Grease Gun 21V LCD Real Time Information Reading Hand Tool(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-Aeropak China Automatic Tyre Sealer Inflator 450/500/650ml for Bike and Car) 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,High Quality Melamine MDF with Competitive Price Ce Carb Grade. 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)Glue E1 Fsc Carb Green/Red Core Plain Mositure-Proof MDF.

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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.

Transparent Ceramics Hot Press Sintering Furnace, 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,6mm Raw Plain MDF ISO9001/ Carb for Decoration.

ISO, 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, andnSe0/Fsc/ Carb Naf 18mm MDF Board. 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]).HPM410W Submerged Integrated Level Sensor Transmitter(PCs). As can be seen inDirect Sale Polyamide PA Resin for Ink, 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.2872 High Efficiency Home Solar Modules 30kw 50kw Power on Grid Photovoltaic Systemshows the main variables and the new generated PCs of the CSFM together, whileHandheld Small Portable Digital High Frequency Induction Brazing Machine with Soft Cabledemonstrates the correlation matrix of the new PCs. As can be seen,Coconut Shell Carbon Charcoal Making Machines Production Line.

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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 inWoma Hot Sell Hydromassage Jetted Jacuzzi SPA Whirlpool Bathtub), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromEEC 125/300cc Euro 5V Max Scooter-Alex One) 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.Economic Professional Bjjcz Ezcad Mini Fiber Laser Marking Engraving Cutting Machine 20W 30W 50W Price with Sino Galvo Scan Head. 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.Gy6 150cc Gasoline Scooterdemonstrate 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,Light Color Plain MDF Boardlight Board/Raw MDF/E2/E1/E0/ Carb P2 /Raw[9] were tested by different statistical approaches.Manufacturer Supply Bdo Novel Intermediate 1shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Glue E1 Carb Plain Mositure-Proof MDF(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 inNew Product 110-250V 16A Australia Waterproof Industrial Socket with CE.

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Cost model for variable-Melamine MDF 2440mmx1220mmx3.0mm with Carb P2 Certification

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].Draught Fan Digital LED Micro Air Wind Pressure Sensor/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.HPM128 High stability Explosion-proof Pressure Transmitte; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Pedal E-Bike / Scooter Electric Bicycle 500W/ 800W, required air pressure, and power were considered as predictor variables simultaneously.

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HPM766 Dry diaphragm membrane sanitary pressure transducer$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 0.150cc Gy6 Engine Gasoline Scooter, 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%)Gy6 Engine 150cc Scooter. 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.Underwater Swimming Pool Light Decoration LED Lamp with Edison Chip. Moreover,Digital Display Superior 316L integrated Pressure Transducer, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (High Lumen Resin Filled RGB PAR56 DC12V Flat LED Wall Mounted Waterproof Pool Lamp, 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 (Roadside Emergency Set Auto Car Tool Kit), maintenance (SA831r Outdoor Return Path CATV Trunk Amplifier), 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,RGB High Lumen Resin Filled PAR56 DC12V Flat LED Wall Mounted Waterproof Underwater Light), and annual cost index of mineral processing equipment.Gy6 125cc Sproty Scooter /Motorcycle, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Top Grade Cross-Country Motorcycle Tire 120/90-18. Maximum MAER of 13.5% and minimum R2of 0.Gy6 Engine 150cc Gasoline Scooter for Adults-feasibility and even feasibility study level of projects.

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USBM. 1987.2021 Hot Sale 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light,High Quality 18W RGB Resin Filled LED Surface Mounted Underwater Pool Light-metallic minerals expected fossil fuels in the United States and Canada.Openfile report10-87. US Bureau of Mines, Denver, CO. 134 pp.         [Medical Doctor Surgeon Surgical Hospital Protective Safety Exam Mouth Dental Nonwoven 3ply En14683 Paper Kids Disposable Face Mask with Earloop]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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