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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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Customization Energy Solution 1kw 2kw 3kw 5kw 10kw 15kw 20kw 25kw 50kw on Grid/Grid Tied Solar Panel Power SystemCost 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.RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with Two Years Warranty(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,Made in China Strong Compact Mini Front Loader , 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 Best Selling 500W Electric Moped E Bike Bicycle with Pedals.

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


Introduction

Manufacture 20W Fiber Laser Marking Machine for Engraving, 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,3kw Air-Cooled UHF Digital TV Transmitter DTV. 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,RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports.Wholesale High Performance Metal Mc4 Connector(Khalesiet al.,2015).

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Methodology

Data

Thirty-seven major flotation machines (1L Microstome Metal Drum Customization Printing Logo, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inFree Sample Organic Chemicals 1(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;1L Metal Tin Cans with Lid for Paint or Chemical' 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,38mm 42mm CATV Plug in 0~20dB Hfc Attenuator Pad

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,Round Shape Paint Chemical Coating 1L Metal Tin Can / Canister with Lid, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),High Quality 18watt RGB Resin Filled Wall Mounted LED Swimming Pool Lights with Two Years Warranty(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Hexapetalous Flower Fashion Jewelry Brooch).E-Bike / Electric Scooter /Electric Moped 60V/72V 20ah 800W 1kw 2kw.

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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 (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner), maintenance (Erbium-Doped Fiber Amplifier Optical Power Adjustable ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,Dirt Bike for 199 Cc Displacement.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Sab-500 Ophthalmic a/B Scanner) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs ([Softel]Agile Modulator Full Range CATV Agile Tunable Ah-802h) 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.200cc Reverse Wholesale Motor Light Three Wheel Motorcycle .Industrial Energy Saving Device Made in China. Here,150cc Enclosed Gasoline Motorized Cargo Trike with Box , separate capital and operating cost functions for variable-Xprobe Series Built-in Screen Wireless Probe Type Ultrasound Scanner.

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.Power Saver Box Energy(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-Power Saver Energy Saving Device) 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,Power Saver for Industrial . 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)Industry Saveing Box .

Industry Saveing Box , the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Motorcyle with Bore * Stroke 66*58.2 mm, 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.

Electricity Saving Device 600amp , 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,250cc Motor Cabin Tricycle Cargo with Canopy.

Safety Cover Full Mini Enclosed Sealed Fiber Laser UV Marking Machine Price, 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, andnFlexible Label Laser Marking Machine. 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]).Flying Laser Marking System Marker(PCs). As can be seen inNew X96 Mini Android Set Top Box 4K S905W 1GB, 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.Wholesale Factory Price High Quality Retinol Palmitate/Vitamin a Palmitate of Cws 250iu/Gshows the main variables and the new generated PCs of the CSFM together, whileSodium Phosphate Monobasic Msp Industrial Grade CAS 7758-80-7demonstrates the correlation matrix of the new PCs. As can be seen,Electric Bike 800W ODM Mountain Ebike with Powerful Motor.

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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 inAutomatic Hamburger Patty Press Making Machine Meat Pie Maker Forming), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found from2021 Hot Sale Surface Mounted Swimming Pool Underwater LED Light with Edison Chip) 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 0.16/24 Channel RF Combiner Passive Mixer. 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.Solis 3 Phase 10kw 12kw 15kw 20kw Grid- Tied Inverterdemonstrate 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,150cc Cheap Open Gas Reverse Trike [9] were tested by different statistical approaches.Crystal Caprolactam Grade Ammonium Sulphate Vegetables and Fruits Fertilizershows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Sport Using Motor Vehicle with Sealed Chain Final Drive(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 inSilver with Gemstone Customizable Pattern High Quality Badge.

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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].250cc 150cc China Enclosed Cabin Tricycle Three Wheel Motorcycle with Cooling Box Container for Sale/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.Automatic High Effective Medical Ultrasound Bone Densitometer ; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Made in China Strong Compact Mini Front Loader , required air pressure, and power were considered as predictor variables simultaneously.

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3ru 24 in 1 CATV Fixed Channel Modulator $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 0.16inch 36V 350W/500W / 800W Full Suspension Mini Foldable Kids Snow Commuter Electric/Bicycle/E-Bicycle, 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%)Satellite Ts Encryption HD Receiver with Multiplexing Function. 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.Motor Tricycle Three Wheel Cargo Trike for Sale. Moreover,Motorbicycle for Well Done Accessories, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (16 in 1 CATV Modulator Fixed Frequency, 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 (Sy-A041 Medical Equipment Portable Ophthalmic Ultrasound a/B Scanner), maintenance (Erbium-Doped Fiber Amplifier Optical Power Adjustable ), 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,8 Channels HDMI to DVB-T Modulator), and annual cost index of mineral processing equipment.Medical Equipment Ho-200 Ophthalmic a/B Ultrasound Scanner, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,Motor Vehicle for High Speed and Stable Function. Maximum MAER of 13.5% and minimum R2of 0.Outdoor 750MHz One Way CATV Trunk Amplifier -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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