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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.Max Source Fiber Machine Laser Marking for Vin Number(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,1L Custom Round Small Metal Empty Tin Cans with Lids, 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 0.2021 Hot Sale 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty.

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


Introduction

500W/ 800W Brushless Motor Electric Mobility Scooter for Cargo , 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,1L Microstome Metal Drum Customization Printing Logo. 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 Metal Tin Cans with Lid for Paint or Chemical.Free Sample 5GHz Antenna Rubber Gain(Khalesiet al.,2015).

Sanland 860MHz 34dB Gain CATV Push-Pull Amplifier Module .1L Printed Round Metal Paint Tin Can with Lidet al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Mineral Processing Reagents Collector Ammonium Dibutyl Dithiophosphate(Smith and Mason, 1997).4G 32g H96 Max 3566 World International Best Custom Internet Digital TV Converter 4K Smart Android Box(Sodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7). One of the preliminary works was undertaken by Prasad (1969)38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad, Khalesi, and Khosfarman (2014).Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty, the role of other effective parameters has simply been overlooked.E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw. Furthermore,Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner, 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-Erbium-Doped Fiber Amplifier Optical Power Adjustable .Dirt Bike for 199 Cc Displacement(SRA) and multiple regression (MRA) cost functions are presented.Sab-500 Ophthalmic a/B Scanner. 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 ([Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented in2021 Hot Selling Popular New Cool Type Cheaper Price Chinese Supplier 2 Wheels Electric Scooters E Motos Motorcycles(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;200cc Reverse Wholesale Motor Light Three Wheel Motorcycle ' 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,Power Saver Energy Saving Device

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

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Industry Saveing Box (CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Bias/Naylon OTR Tyre 23.1-26).Industry Saveing 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 (Motorcyle with Bore * Stroke 66*58.2 mm), maintenance (Electricity Saving Device 600amp ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,250cc Motor Cabin Tricycle Cargo with Canopy.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Flexible Label Laser Marking Machine) 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.Flying Laser Marking System Marker.800W Color Fashion Electric Motorcycle. Here,20W 30W 50W 150X150mm 200X200mm Lens Metal Steel Fiber Laser Machine, separate capital and operating cost functions for variable-Label Marking Equipment Laser Machine for Car Body Labels.

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.Electric Bike 800W ODM Mountain Ebike with Powerful Motor(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-Latest Electric Scooter 800W Citycoco) 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,16/24 Channel RF Combiner Passive Mixer. 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)150cc Cheap Open Gas Reverse Trike .

Sport Using Motor Vehicle with Sealed Chain Final Drive, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (GS-a 12mm CATV Fixed RF Attenuator, 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.

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whereXobsis the observed value,xethe estimated value at time/placeI,and n,Automatic High Effective Medical Ultrasound Bone Densitometer .

New 50cc Monkey Bike Gasoline Motorcycle Euro 4, 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, andnChina 250cc New 3 Wheel Motorcycle Motor Tricycle. 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]).3ru 24 in 1 CATV Fixed Channel Modulator (PCs). As can be seen in2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip, 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.Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizershows the main variables and the new generated PCs of the CSFM together, whileGood Quality Empty 1 Litre Metal Tin Paint Cans with Handle for Saledemonstrates the correlation matrix of the new PCs. As can be seen,Motorbicycle for Well Done Accessories.

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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 in5V 12A 75W S Series Constant Voltage Switching Power Supply Ce RoHS Certification S-75-5), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromVimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale) 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 0.8 Channels HDMI to DVB-T Modulator. 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.Small Compact Front Wheel Loader / Zl08 Farm Garden Minidemonstrate 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,Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner[9] were tested by different statistical approaches.Professional Speaker with Laser Light shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Motor Vehicle for High Speed and Stable Function(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 inMusical Toy Snowman Reindeer Elf Santa Claus Penguin Bear Plush.

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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].China Enclosed Ice Cream Tricycle Three Wheel Cargo with Cooling Box/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.New Racing Motorcycle; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,1L Custom Round Small Metal Empty Tin Cans with Lids, required air pressure, and power were considered as predictor variables simultaneously.

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Motorcycle for 1405mm of Wheel Base$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.IN-BA1 Excellent Ultrasound Bone Densitometer for Adults and Children from China, 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%)5150-5850MHz Sector Panel Antenna with 2*16dBi Gain for Best Design. 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.China Ophthalmic Equipment. Moreover,Hot Sale Jincheng Jc200t-8 Scooter Motorcycle with Good Price, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (China Gas Scooters 2 Stroke Euro 4 125cc Moto Moped Motor EPA 49cc 50cc 150cc EEC Motorcycle Gasoline Scooter, 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 (Motorcyle with Bore * Stroke 66*58.2 mm), maintenance (Electricity Saving Device 600amp ), 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,Best Selling Ophthalmic Ultrasound a/B Scanner Full Digital Touch Screen), and annual cost index of mineral processing equipment.Ho-100 Ophthalmic Ultrasound a Scan Pachymeter, and over- extrapolation could result in misguiding estimates.

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Smith, A.E. and Mason, A.K. 1997. Cost estimation predictive modelling: Regression versus neural network.The Engineering Economist,vol. 42, no. 2. pp. 137-161.         [DC 1000V Mc4 Cable Connectors ]

Stebbins, S.A. 1987. Cost estimation handbook for small placer mines.Information Circular9170, 94. US Bureau of Mines.         [Cheap Factory Price China Supplier 1000W Adult Electric Scooters/Electric Motorcycle for Sale]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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