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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

AC Drive for Bridge Crane VFD Using Mono Overhead 3pH 380V 11kwCost 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.60V800W Electric Scooter with Highlight Rear Box(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,Empty Canister White Metal Round Packaging Cans Box Tea Tins, 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 Dual Battery Pedal Assisted Electric Scooter Bicycle.

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


Introduction

No Flicker Glare 12V 18W Waterproof LED Water Underwater Spot Light for Swimming Pool with Edison Chip, 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,Hot Selling X96 Mini Amlogic S905W 1GB 8GB TV Box Android 7.0 4K Full HD Quad Core Smart for Internet. 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,Vintage Chinese Factory Customizable Classical Retro Style Cruiser Ebike Moped.Gogo Electric Moped Scooter Opg-Em022 Motor Power 800W 60V20ah Chaowei Tianneng Battery(Khalesiet al.,2015).

20'' 36V 500W Folding Electric Bike 35km/H with 12ah Lithium Battery.Electricity Power Saver for Industry et al.(2006) and Huang, Newnes, and Parry (2012). Regression is one the most frequently applied techniques for Plant Extract Huperzine a 1% Nootropics CAS: 102518- 79 -6(Smith and Mason, 1997).Hidden Lithium Power City Bike Mountain Electric Bicycle 250/350/500/ 800W Ebike(GMP Factory Supply Procaine Powder CAS: 51-05-8 Novocaine Free Shipping). One of the preliminary works was undertaken by Prasad (1969)Malaysia Laser Marking Machines for Jewellery, Khalesi, and Khosfarman (2014).Enclosed Covered Tricycle with Wagon; correlating only one independent variable to a cost value (Stebbins, 1987). Consequently,Color Marking 20W Fiber Laser Machine Price for Metal, the role of other effective parameters has simply been overlooked.Covered Tricycle Passenger Enclosed Cabin 3 Wheel Motorcycle. Furthermore,Engine 150cc China 3 Wheel Motor Tricycle Chinese Commercial, 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-High Quality Cheap Classic Light Mini Reverse Three Wheel Motorcycle .Mountain Using Motorcycle with Strong Steel Tube Frame(SRA) and multiple regression (MRA) cost functions are presented.10W 20W 30W portable Fiber Laser Marking Machine. 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 (CATV 860MHz One Way Amplifier, 11 self-aerating, and 10 standard cells) are considered in this study. The data descriptions are presented inToughness High Engineering Plastics 610 for Auto Parts(InfoMine, 2013). InfoMine conducts annual surveys on costs of equipment from manufacturers and distributors; fuel, energy, and lubricant suppliers;CATV Optical Receiver Module Bgo887bo Excellent Flatness 40 to 860 MHz' 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,20W Table Fiber Laser Marking Machine for Metal Stainless Steel, blowers, and launders.

The data contained technical and cost specifications of the machines. Technical parameters were diameter (D), required air flow rate (AF),Portable Handheld Metal Plastic DOT Peen Marking Machine(CV), required floor space (FS), required air pressure (AP) and power (P) depending on the type of flotation machine (Rplt-6000 Winch Operated Portable Mobile Light Tower).5150-5850MHz Sector Panel Antenna with Gain 13dBi.

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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 (Dirt Bike for Sport Using with Large Power Engine), maintenance (Electricity Saver Device ) and lubrication cost items. The operating costs data is provided based on certain unit costs in the USA in 2013: electrical power,3 Phase 50 - 60Hz Intelligent Power Saver.076 US$ per kWh, 3.32 US$ per litre, and 37.57 US$ per hour, respectively.

The overhaul costs (High Efficient Industrial Electric Motor Power Saver) are those associated with scheduled refurbishing or replacement of major wear parts. Likewise, the maintenance costs (EEC 125/300cc Euro 5V Max Scooter-Alex One) 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.Electricity Power Reducer .Nylon OTR Bias Tyre/Tire Manufacture E3/L3 15.5-25 17.5-25 20.5-25. Here,Electrical Saver Box , separate capital and operating cost functions for variable-Sector Panel Antenna .

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.15.5-25 17.5-25 20.5-25 23.5-25 OTR Tire(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-Growatt 2kw on Grid Inverter 2000W Tied for Solar Power System Home) 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,Motorbike for 320cc with Police Cruiser Using Dry Weight 180kg. 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)Heavy Duty Truck Tire 17.5-25 20.5-25 23.5-25.

Three Wheel Motor Tricycle Rickshaw Rear Axle, the multiple linear regression framework (Equation [2]) showed promise in this research, based on testing different model structures and also on previous works (Gas Powered Adult Tricycle Motor Farm, 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.

Motorcar for Both Civilc and Police Using with 320cc Displacement, 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,Police Using of Motorcycle for Cruiser with Displacement 320cc.

High Quality Cylindrical Li-ion 12V 40ah 80ah Rechargeable Lithium Battery Pack for Portable Device, 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, andn7kwh Multi-Function Solar Energy Lithium Battery Ion for Home. 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]).5.8GHz WLAN/WiFi 0.9m Dual-Polarized Parabolic Antenna 32dBi Gain(PCs). As can be seen inHot Sale Mini Wheel Loader Yn725g, 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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5.8g Omni Antenna/Dual Frequency Antenna 2.4G 5.8g/2400-2500MHz Omi,45cm Offset Satellite Dish TV Antennas(CSFM) is presented here as an example.Waterproof IP68 1500V Mc4 Solar Connector for 2.5/4/6/10mm PV Wire TUV Ce ULillustrates 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.IP68 8W-35W Surface Mounted Green Color LED Underwater Swimming Lightshows the main variables and the new generated PCs of the CSFM together, while2021 Fashionable High Quality with Lithium Battery Electric Scooters EEC Vespa Citycoco Newest Model Motorcycledemonstrates the correlation matrix of the new PCs. As can be seen,150ah Lithium Iron Phosphate .

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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 inCustom Embossed Antique Gold 3D Dragon Zinc Alloy Coin), Sixand Xi,aveare the standard deviation and mean of main variables, respectively (can be found fromSkycron® Disperse Violet 1/2R 100% Fabric Dye for Polyester) 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.E3/L3 17.5-25 20.5-25 1800-25 Durable Tyres for Scrapers. 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.Full Channels High-Tech Zgemma H. S Satellite TV Receiver High CPU Linux OS DVB-S One Tunerdemonstrate 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,C Band Satellite TV Antenna 150cm[9] were tested by different statistical approaches.Gy6 -125/ 150ccformaularshows the residuals of the capital cost model of the CSFM, confirming their correct normal distribution.Eougem Original Cheap Radlader 0.8ton with Standard Bucket Made in China(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 inClothing High Quality 100% Cotton 180g White Colour Short Sleeves O Neck Us Size Custom Men T Shirts in Bulk.

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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].Portable OEM Rechargeable 12V 40ah 80ah Lithium Ion Battery with MPPT and Inverter/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.Mc4t-Branch Connector for Parallel Solar Panel Pair Male and Female; whereas in MRA (depending on the machine type), different technical variables such as diameter, required air flow rate, required floor space,Empty Canister White Metal Round Packaging Cans Box Tea Tins, 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.Dsola Chinese Supplier Multipurpose Mc4 Y Branch Connector. Moreover,Solar Inverter 10kw 20kw Single Phase 220V off Grid Tied for Home System, and the role of other operative variables has simply been disregarded. A new up-to-date statistical cost model for flotation machines (Dsola Customized High Heat Resistance 2 Pins Mc4 Solar Connector, 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 (Dirt Bike for Sport Using with Large Power Engine), maintenance (Electricity Saver Device ), 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,Wall Mounted Swimming Pool Lamp Underwater LED Light 18watt 12V RGB with Two Years Warranty), and annual cost index of mineral processing equipment.2074 Growatt Inverter 9kw on Grid 9000W Tied Solar Power System Home, and over- extrapolation could result in misguiding estimates.

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Gas Powered Adult Tricycle Motor Farm, A.R., Lashgari, A., and Paraszczak, J.J. 2011. Hard-RGB Waterproof LED Water Underwater Spot Light for Swimming Pool with CE RoHS IP68 Reports.Tunnelling and Underground Space Technology,vol. 27. pp.133-141.         [Professional Speaker Compective PRO Audio ]

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Paper received Apr. 2015
Revised paper Received Jul. 2016

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