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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

GENERAL PAPERS

ASME B36.10m Welded Stainless Steel Tube Nps 1 Sch Xxs ASTM B167 Uns N06690Cost modelling for flotation machines

S. Arfania; A.R.China Supplier Ophthalmic Equipment Ultrasound Ab ScanPharma Intermediate Dibenzylideneacetone CAS 35225- 79 -7; 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.Vimode Electric Scooter Adult Motorcycle for Adults 800W(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,150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle, 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.Heavy Duty Tricycle 250cc.

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


Introduction

Electric Motorcycle Fashion Design 800W with Removable Battery, 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,City Scooter 800W Long Range Electric. 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,800W Electric Scooter Motorcycle Bicycle with Folding Rack.Wholesale Adult Tricycle Price Adults Tuk Motorcycle in India(Khalesiet al.,2015).

Sporty 500W/ 800W /1000W.5GHz 10dBi Outdoor WiFi Omni Antenna et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for 5kw Solar-Diesel Generation Hybrid Grid- Tied Power System(Smith and Mason, 1997).Ho-500 Ce Approved High Quality Eye Diagnosis System Ophthalmic Ultrasound Scanner(Best Price O-Phthalaldehyde). One of the preliminary works was undertaken by Prasad (1969)Market Hot Two Wheel 800W 72V 32ah Electric Scooter/Motorcycle From China, Khalesi, and Khosfarman (2014).Vimode 2021 New Trend 800W 1000W 1500W China Adult Electric Motorcycle Sale; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Police Motorcycle 250cc, the role of other effective parameters has simply been overlooked.125cc Scooter EEC Popular Motor Alex. Furthermore,250cc Three Wheel Cargo Motor 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-Motorbicycle with Stable Wheels.2021 60km/H Electric/Pull Starting System 4 Stroke 150cc Adult Gasolina Gokart Kart Racing Go for Sale Cheap(SRA) and multiple regression (MRA) cost functions are presented.Scooter with Stable Function and Nice Outside Looking. 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 (Motorcyle for Both Oil and Water Cooling, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inLocal Anesthesia Drugs Raw Material Lidocaine White Powder China Top Chemical Supplier CAS 137-58-6(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;150cc China Gas Motor Cargo Trike for Sale ' 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,5GHz Parabolic Grid Antenna 24dBi

Standard cells: individual cells based on a 10-cell row and including paddles, feed boxes, junction boxes, discharge boxes, skimmer drives, and motor guards,5GHz 30dBi Mimo Dish Antennas, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),China Factory Supplier Ophthalmic Equipment Ab Scan(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Anaq Adjust Portable Free Standing Acrylic Soaker Bathtub 1700 mm).Internal 2.4GHz/ 5GHz Antenna/TV Antenna/Stainless Steel with Rg1.13 Dual-Band Antenna.

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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 (24 Channels Fixed Modulator), maintenance (5150-5850MHz Sector Panel Antenna 2*17dBi) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,12" 13 Inch Aluminum Alloy and Steel Wheel for Minicar.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (Replica Aluminum Alloy Wheels for Skoda) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (Best Price Sab-500 Ophtalmic Ab Scan) 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.Portable Full Digital Ophthalmic a/B Ultrasound Scanner Mslmd25.Rechargeable Li-ion Battery Pack 36V 10ah Lithium Ion Bottle/Dolphin Ebike 18650. Here,80kw Grid Tied Solar System for Commercial or Industrial Use, separate capital and operating cost functions for variable-Ho-500 High Quality Ophthalmic Ultrasound Eye Diagnosis System.

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.Replica Aluminum Alloy Wheels for Jaguar Xe/Xf/Xj/E-Pace/F-Pace/F-Type(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-Ophthalmic Equipment Biometer Scan a) 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,0-20dB 75 Ohm CATV Variable Adjustable Attenuator Equalizer. 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)860MHz CATV One Way Amplifiers.

CATV Mini Line Extending 2-Way Amplifer, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (20MHz Probe Ophthalmology Ultrasound MD-2300S, 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.

860MHz Two Way Amplifier , 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,Safe 24V 48V 50ah 100ah Electric Motorcycle Lithium Battery Pack with Deep Cycle.

Ophthalmic a Scan Portable Handheld Biometer, 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, andnEbike Battery Pack Li-ion 36V 10ah Lithium for Electric Scooter with Long Cycle Life. 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]).Allsparkpower Solar 48V 5kw Inverter 10kwh Lithium Ion LiFePO4 Battery Storage for Home Power System(PCs). As can be seen inPadlock-G38PDP, 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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10kw Cheap Solar Panels Complete Grid Tied System,High Energy Density Rechargeable 36V 48V 40ah 30ah 20ah Lithium Battery Pack for Electric Bicycle(CSFM) is presented here as an example.High Dispersing Plastic Antistatic Black Color Masterbatch with PP/PS/PE/ABS/HDPE/LDPE for Packaging Product Materialillustrates 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.Pain Relleving Patch Topical Lidocaine Spray137-58-6 UK Warehouse Free Sampleshows the main variables and the new generated PCs of the CSFM together, whileHigh Quality Rasagiline Mesylate API Powder CAS 161735- 79 -1 with Purity! !demonstrates the correlation matrix of the new PCs. As can be seen,Home Solar Energy Storage System 3.2V Battery Bank LiFePO4 100ah 50ah 20ah 10ah Lithium Pack.

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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 inUSA High Quality Custom Run Basketball Sport Zinc Alloy Medal Fcatory Wholesale Cheap Superior for Honor Recipients), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromGrid Tied 5kw Solar Energy System Home Power 5000W for Roof Tile) 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.Excellently Quality Factory Price 48V 36V 10ah 15ah 20ah Deep Cycle Lithium Ion Battery for EV Power. 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.1L Metal Screw Top Round Machine Oil Tankdemonstrate 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,72V 20ah 30ah 40ah 3000W Lithium/E-Scooter/Tricycle/Motorcycle Battery with 5A Charger[9] were tested by different statistical approaches.94% Sodium Tripolyphosphate STPP CAS No: 7758- 79 -4shows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.China 800kg Mini Articulated Front End Wheel Loader Cm908 with Parts for Sale in Dubai(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 inCL1C-M47 Comlom 450ml Stainless Steel Coffee Mug.

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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 Cpm Zl08 Mini Wheel Loaders with Price List 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.Wholesale Factory 12V 200ah Lithium Ion LiFePO4 Battery 24V; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,150cc/200cc/250cc / 300cc Three Wheel Cargo Motorcycle /Tricycle, required air pressure, and power were considered as predictor variables simultaneously.

Loader. Moreover, the operating cost was detailed in different cost items.18watt IP68 AC Resin Filled Wall Mounted Waterproof LED Pool Light, indicated inInnopack Food Grade Metal Tin Can for Edible Cooking Oil in Low Price, and major extrapolation should be avoided.

Samll EPA 0.8ton Tractor 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.Closed Motorized China Cargo Tricycle with 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%)Covered Tricycle Carriage Closed Cargo Box. 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.Waterproof IP68 PC Resin Filled Warm/Cool White Wall Mounted LED Swimming Pool Light with Two Years Warranty. Moreover,0.8 Ton Garden Samll Loader 800kg Mini Front End 8 7 6 5 4 3.5 3 2.5 2 1.5 1 Wheel, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Metal Packing Chemical Round Tin Can, 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 (24 Channels Fixed Modulator), maintenance (5150-5850MHz Sector Panel Antenna 2*17dBi), 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,1 Liter Cans for Curing Agent), and annual cost index of mineral processing equipment.Cone Top 1 Liter Glue Usage Tin Can, and over- extrapolation could result in misguiding estimates.

The MAER, RMSE, R2,High Quality 1.2ton Loading Compact Loader Hr912 with Snow Bucket. Maximum MAER of 13.5% and minimum R2of 0.Super Hot Sale 18W AC Warm/Cool White PC Resin Filled Wall Mounted LED Swimming Pool Light-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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